%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN784-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:35:50 PM UTC 2026
% Result : Unsatisfiable 39.83s 37.52s
% Output : Proof 39.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(f31,negated_conjecture,
( ssPv3(V)
| ssPv4(W)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f31_nnf,plain,
! [U,V,W,X] :
( ssPv3(V)
| ssPv4(W)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [U,V,W,X] :
( ssPv3(V)
| ssPv4(W)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ssPv3(X1)
| ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p223,plain,
( ssPv3(X1)
| ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c31]) ).
cnf(f0,negated_conjecture,
ssRr(skf3(U),U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f0_nnf,plain,
! [U] : ssRr(skf3(U),U),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [U] : ssRr(skf3(U),U),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
ssRr(skf3(X0),X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p419,plain,
( ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p223,c0]) ).
cnf(f7,negated_conjecture,
( ssPv4(U)
| ssPv3(U)
| ssPv3(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f7_nnf,plain,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv3(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv3(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p58,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c7]) ).
cnf(p65,plain,
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p58,c0]) ).
cnf(p429,plain,
( ssPv4(skf3(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p419,p65]) ).
cnf(p1621,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[p429]) ).
cnf(p1623,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[p1621]) ).
cnf(f1,negated_conjecture,
ssRr(U,skf2(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f1_nnf,plain,
! [U] : ssRr(U,skf2(U)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [U] : ssRr(U,skf2(U)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
ssRr(X0,skf2(X0)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p1625,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[p1623,c1]) ).
cnf(p61,plain,
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(X1)
| ssPv4(X0)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(p217,plain,
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv3(skf2(skf3(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p61,c1]) ).
cnf(p1627,plain,
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p1625,p217]) ).
cnf(p2101,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p1627]) ).
cnf(p2103,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p2101]) ).
cnf(f26,negated_conjecture,
( ssPv3(V)
| ssPv2(X)
| ssPv4(W)
| ssPv1(U)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f26_nnf,plain,
! [U,V,W,X] :
( ssPv3(V)
| ssPv2(X)
| ssPv4(W)
| ssPv1(U)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [U,V,W,X] :
( ssPv3(V)
| ssPv2(X)
| ssPv4(W)
| ssPv1(U)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ssPv3(X1)
| ssPv2(X3)
| ssPv4(X2)
| ssPv1(X0)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p190,plain,
( ssPv3(X1)
| ssPv2(X2)
| ssPv4(X2)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c26]) ).
cnf(p273,plain,
( ssPv3(X0)
| ssPv2(X1)
| ssPv4(X1)
| ssPv1(skf3(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p190,c0]) ).
cnf(p281,plain,
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv1(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p273,c0]) ).
cnf(f4,negated_conjecture,
( ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f4_nnf,plain,
! [U,V] :
( ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [U,V] :
( ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p50,plain,
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(p283,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(skf3(skf3(X0))))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p281,p50]) ).
cnf(p2132,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(skf3(skf3(X0))))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p2103,p283]) ).
cnf(p11132,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(skf3(skf3(X0))))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p2132]) ).
cnf(p11134,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(skf3(skf3(skf3(X0))))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p11132]) ).
cnf(f33,negated_conjecture,
( ssPv3(X)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f33_nnf,plain,
! [U,V,W,X] :
( ssPv3(X)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [U,V,W,X] :
( ssPv3(X)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( ssPv3(X3)
| ssPv4(X2)
| ~ ssPv4(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p238,plain,
( ssPv3(X2)
| ssPv4(X2)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c33]) ).
cnf(p434,plain,
( ssPv3(X1)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p238,c0]) ).
cnf(p11149,plain,
( ssPv3(X1)
| ssPv4(X1)
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssRr(skf3(skf3(X0)),X1)
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p11134,p434]) ).
cnf(p23511,plain,
( ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p11149,c0]) ).
cnf(p23513,plain,
( ssPv4(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23511]) ).
cnf(p23516,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23513]) ).
cnf(p23517,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p23516,p2103]) ).
cnf(p23522,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23517]) ).
cnf(p23525,plain,
( ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23522]) ).
cnf(p23531,plain,
( ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23525]) ).
cnf(f18,negated_conjecture,
( ssPv4(V)
| ssPv2(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f18_nnf,plain,
! [U,V,W] :
( ssPv4(V)
| ssPv2(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [U,V,W] :
( ssPv4(V)
| ssPv2(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ssPv4(X1)
| ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p137,plain,
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[c18,c0]) ).
cnf(f2,negated_conjecture,
( ssPv4(V)
| ssPv3(V)
| ssPv2(V)
| ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f2_nnf,plain,
! [U,V] :
( ssPv4(V)
| ssPv3(V)
| ssPv2(V)
| ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [U,V] :
( ssPv4(V)
| ssPv3(V)
| ssPv2(V)
| ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ssPv4(X1)
| ssPv3(X1)
| ssPv2(X1)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p43,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(p177,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p137,p43]) ).
cnf(p573,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[p177]) ).
cnf(p578,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[p573]) ).
cnf(p580,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[p578,c1]) ).
cnf(p66,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p58,c1]) ).
cnf(p582,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p580,p66]) ).
cnf(p589,plain,
( ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p582]) ).
cnf(p591,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p589]) ).
cnf(f3,negated_conjecture,
( ssPv3(V)
| ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f3_nnf,plain,
! [U,V] :
( ssPv3(V)
| ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [U,V] :
( ssPv3(V)
| ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ssPv3(X1)
| ssPv2(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p47,plain,
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(p593,plain,
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p591,p47]) ).
cnf(p675,plain,
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p593]) ).
cnf(p685,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p675,p580]) ).
cnf(p981,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p685]) ).
cnf(p984,plain,
( ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p981]) ).
cnf(p986,plain,
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p984]) ).
cnf(f9,negated_conjecture,
( ssPv3(V)
| ssPv2(W)
| ssPv3(U)
| ~ ssPv2(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f9_nnf,plain,
! [U,V,W] :
( ssPv3(V)
| ssPv2(W)
| ssPv3(U)
| ~ ssPv2(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [U,V,W] :
( ssPv3(V)
| ssPv2(W)
| ssPv3(U)
| ~ ssPv2(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ssPv3(X1)
| ssPv2(X2)
| ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p72,plain,
( ssPv3(X1)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c9]) ).
cnf(p78,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p72,c1]) ).
cnf(p988,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p986,p78]) ).
cnf(p1013,plain,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p988]) ).
cnf(p1015,plain,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1013]) ).
cnf(p1026,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p1015,p580]) ).
cnf(p1035,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1026]) ).
cnf(p1039,plain,
( ssPv3(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1035]) ).
cnf(p1041,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1039]) ).
cnf(f8,negated_conjecture,
( ssPv4(V)
| ssPv4(W)
| ssPv2(U)
| ~ ssPv3(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f8_nnf,plain,
! [U,V,W] :
( ssPv4(V)
| ssPv4(W)
| ssPv2(U)
| ~ ssPv3(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [U,V,W] :
( ssPv4(V)
| ssPv4(W)
| ssPv2(U)
| ~ ssPv3(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ssPv4(X1)
| ssPv4(X2)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p69,plain,
( ssPv4(X0)
| ssPv4(X1)
| ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(p97,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p69,c0]) ).
cnf(p1043,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p1041,p97]) ).
cnf(p1137,plain,
( ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p1043]) ).
cnf(f25,negated_conjecture,
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f25_nnf,plain,
! [U,V,W] :
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [U,V,W] :
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p183,plain,
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[c25,c0]) ).
cnf(p1144,plain,
( ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p1137,p183]) ).
cnf(p2809,plain,
( ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p1144,c0]) ).
cnf(p2813,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p2809,p1041]) ).
cnf(p2821,plain,
( ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p2813]) ).
cnf(p2822,plain,
( ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p2821,p1041]) ).
cnf(p2825,plain,
( ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p2822]) ).
cnf(p2830,plain,
( ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p2825]) ).
cnf(p70,plain,
( ssPv4(skf2(X0))
| ssPv4(X1)
| ssPv2(X0)
| ~ ssPv3(skf2(X0))
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(p222,plain,
( ssPv4(skf2(X0))
| ssPv4(skf2(skf2(X0)))
| ssPv2(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[p70,c1]) ).
cnf(p1048,plain,
( ssPv4(skf2(X0))
| ssPv4(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p1041,p222]) ).
cnf(p1176,plain,
( ssPv4(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1048]) ).
cnf(f14,negated_conjecture,
( ssPv3(V)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f14_nnf,plain,
! [U,V,W] :
( ssPv3(V)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [U,V,W] :
( ssPv3(V)
| ssPv4(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ssPv3(X1)
| ssPv4(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p110,plain,
( ssPv3(X1)
| ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c14]) ).
cnf(p114,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p110,c1]) ).
cnf(p1045,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p1041,p114]) ).
cnf(p1123,plain,
( ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1045]) ).
cnf(p1211,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p1176,p1123]) ).
cnf(p1945,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1211]) ).
cnf(p1947,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1945]) ).
cnf(f35,negated_conjecture,
( ssPv2(V)
| ssPv4(U)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f35_nnf,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv4(U)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv4(U)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ssPv2(X1)
| ssPv4(X0)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p255,plain,
( ssPv2(X1)
| ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c35]) ).
cnf(p490,plain,
( ssPv2(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[p255,c1]) ).
cnf(p496,plain,
( ssPv2(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(skf2(skf2(X0)))
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p490,c1]) ).
cnf(p1199,plain,
( ssPv2(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p1176,p496]) ).
cnf(p1496,plain,
( ssPv4(X0)
| ~ ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1199]) ).
cnf(p1970,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p1947,p1496]) ).
cnf(p2452,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1970]) ).
cnf(p2455,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p2452]) ).
cnf(p2458,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p2455]) ).
cnf(f13,negated_conjecture,
( ssPv4(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f13_nnf,plain,
! [U,V,W] :
( ssPv4(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [U,V,W] :
( ssPv4(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ssPv4(X0)
| ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p102,plain,
( ssPv4(X0)
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c13]) ).
cnf(p109,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p102,c1]) ).
cnf(p2462,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p2458,p109]) ).
cnf(p2498,plain,
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p2462]) ).
cnf(p2500,plain,
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p2498]) ).
cnf(p2840,plain,
( ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ssPv4(skf2(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p2830,p2500]) ).
cnf(p3398,plain,
( ssPv4(skf3(X0))
| ssPv4(skf2(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p2840]) ).
cnf(p3402,plain,
( ssPv4(skf2(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p3398]) ).
cnf(p256,plain,
( ssPv2(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(p734,plain,
( ssPv2(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p256,c1]) ).
cnf(p3426,plain,
( ssPv2(skf3(X0))
| ssPv4(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p3402,p734]) ).
cnf(p7162,plain,
( ssPv4(skf3(skf3(X0)))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p3426]) ).
cnf(p7163,plain,
( ssPv4(skf3(skf3(X0)))
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p7162,c0]) ).
cnf(p7166,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p7163,p1041]) ).
cnf(p7171,plain,
( ssPv2(X0)
| ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7166]) ).
cnf(p7173,plain,
( ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7171]) ).
cnf(p7180,plain,
( ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p7173,p137]) ).
cnf(p7229,plain,
( ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7180]) ).
cnf(p7231,plain,
( ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7229]) ).
cnf(p7232,plain,
( ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p7231,c0]) ).
cnf(p7236,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p7232,p1041]) ).
cnf(p7245,plain,
( ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7236]) ).
cnf(p7247,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(factoring,[status(thm)],[p7245]) ).
cnf(f20,negated_conjecture,
( ssPv4(W)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f20_nnf,plain,
! [U,V,W] :
( ssPv4(W)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [U,V,W] :
( ssPv4(W)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ssPv4(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p150,plain,
( ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c20]) ).
cnf(p154,plain,
( ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p150,c0]) ).
cnf(p7252,plain,
( ssPv4(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p7247,p154]) ).
cnf(p7414,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ~ ssPv2(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p7252]) ).
cnf(p23561,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p23531,p7414]) ).
cnf(p23586,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23561]) ).
cnf(p23589,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23586]) ).
cnf(p23593,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23589]) ).
cnf(p23594,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p23593,p2103]) ).
cnf(p23599,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23594]) ).
cnf(p23602,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23599]) ).
cnf(p23604,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p23602]) ).
cnf(f30,negated_conjecture,
( ssPv4(V)
| ssPv4(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f30_nnf,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv4(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv4(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ssPv4(X1)
| ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p213,plain,
( ssPv4(X1)
| ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c30]) ).
cnf(p397,plain,
( ssPv4(X0)
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p213,c0]) ).
cnf(p23614,plain,
( ssPv4(X0)
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p23604,p397]) ).
cnf(p23722,plain,
( ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23614]) ).
cnf(p23725,plain,
( ssPv4(skf2(X0))
| ~ ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p23722,c1]) ).
cnf(p489,plain,
( ssPv2(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p255,c0]) ).
cnf(p492,plain,
( ssPv2(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p489,c1]) ).
cnf(p1198,plain,
( ssPv2(skf2(X0))
| ssPv4(skf3(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p1176,p492]) ).
cnf(p2329,plain,
( ssPv4(skf3(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p1198]) ).
cnf(p2330,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv4(skf3(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p2329,p1947]) ).
cnf(p3122,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv4(skf3(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p2330]) ).
cnf(p3127,plain,
( ssPv2(X0)
| ssPv4(skf3(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3122]) ).
cnf(p3129,plain,
( ssPv4(skf3(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3127]) ).
cnf(p3134,plain,
( ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p3129,p137]) ).
cnf(p3480,plain,
( ssPv4(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3134]) ).
cnf(p3482,plain,
( ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3480]) ).
cnf(p3483,plain,
( ~ ssPv3(skf2(skf2(X0)))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p3482,c1]) ).
cnf(p3484,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p3483,p1947]) ).
cnf(p3485,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3484]) ).
cnf(p3488,plain,
( ssPv2(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3485]) ).
cnf(p3490,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3488]) ).
cnf(p23727,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p23725,p3490]) ).
cnf(p23880,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23727]) ).
cnf(p23882,plain,
( ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23880]) ).
cnf(p23901,plain,
( ssPv2(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p23882,p492]) ).
cnf(p24049,plain,
( ssPv2(X0)
| ~ ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23901]) ).
cnf(p24058,plain,
( ~ ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p24049]) ).
cnf(p23913,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p23882,p1123]) ).
cnf(p23958,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23913]) ).
cnf(p23960,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p23958]) ).
cnf(p24060,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p24058,p23960]) ).
cnf(p24145,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p24060]) ).
cnf(p24148,plain,
( ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p24145]) ).
cnf(p24150,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p24148]) ).
cnf(f34,negated_conjecture,
( ssPv2(V)
| ssPv1(X)
| ~ ssRr(X,V)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f34_nnf,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv1(X)
| ~ ssRr(X,V)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv1(X)
| ~ ssRr(X,V)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ssPv2(X1)
| ssPv1(X3)
| ~ ssRr(X3,X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p247,plain,
( ssPv2(X1)
| ssPv1(X2)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c34]) ).
cnf(p442,plain,
( ssPv2(X1)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[p247]) ).
cnf(p445,plain,
( ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p442,c0]) ).
cnf(p24167,plain,
( ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24150,p445]) ).
cnf(p24204,plain,
( ssPv1(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24167]) ).
cnf(p98,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p69,c1]) ).
cnf(p1042,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv2(skf3(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p1041,p98]) ).
cnf(p1083,plain,
( ssPv4(skf2(X0))
| ssPv2(skf3(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1042]) ).
cnf(p24207,plain,
( ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24204,p1083]) ).
cnf(p24836,plain,
( ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24207]) ).
cnf(p24838,plain,
( ssPv4(skf2(X0))
| ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24836]) ).
cnf(f37,negated_conjecture,
( ssPv2(X)
| ~ ssPv1(V)
| ~ ssRr(V,X)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f37_nnf,plain,
! [U,V,W,X] :
( ssPv2(X)
| ~ ssPv1(V)
| ~ ssRr(V,X)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [U,V,W,X] :
( ssPv2(X)
| ~ ssPv1(V)
| ~ ssRr(V,X)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( ssPv2(X3)
| ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p278,plain,
( ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c37]) ).
cnf(p518,plain,
( ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p278,c0]) ).
cnf(p526,plain,
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X1)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[p518,p281]) ).
cnf(p2224,plain,
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p526,c0]) ).
cnf(p2226,plain,
( ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(factoring,[status(thm)],[p2224]) ).
cnf(p2230,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p2226,p1041]) ).
cnf(p2233,plain,
( ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p2230]) ).
cnf(p2235,plain,
( ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p2233]) ).
cnf(p24845,plain,
( ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24838,p2235]) ).
cnf(p24975,plain,
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24845]) ).
cnf(p24977,plain,
( ssPv3(skf3(X0))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24975]) ).
cnf(p24984,plain,
( ssPv4(X0)
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24977,p397]) ).
cnf(p25732,plain,
( ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24984]) ).
cnf(p25736,plain,
( ssPv4(skf2(X0))
| ~ ssPv2(skf2(X0))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25732,c1]) ).
cnf(p25737,plain,
( ~ ssPv2(skf2(X0))
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25736]) ).
cnf(p24155,plain,
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24150,p137]) ).
cnf(p24293,plain,
( ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24155]) ).
cnf(p24295,plain,
( ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24293]) ).
cnf(p24297,plain,
( ~ ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24295,c1]) ).
cnf(p3494,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p3490,p78]) ).
cnf(p3540,plain,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p3494]) ).
cnf(p420,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p223,c1]) ).
cnf(p1063,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p1041,p420]) ).
cnf(p1250,plain,
( ssPv3(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p1063]) ).
cnf(p1252,plain,
( ssPv3(skf2(X0))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p1250,c1]) ).
cnf(p3566,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p3540,p1252]) ).
cnf(p3731,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv4(skf2(skf2(X0))) ),
inference(factoring,[status(thm)],[p3566]) ).
cnf(p3733,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv2(skf2(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p3731,p47]) ).
cnf(p5017,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p3733]) ).
cnf(p5034,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p5017,p1252]) ).
cnf(p5534,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5034]) ).
cnf(p5537,plain,
( ssPv4(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5534]) ).
cnf(p5539,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5537]) ).
cnf(p5541,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p5539,p78]) ).
cnf(p5575,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5541]) ).
cnf(p5577,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5575]) ).
cnf(p5595,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p5577,p1252]) ).
cnf(p5603,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5595]) ).
cnf(p5606,plain,
( ssPv4(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5603]) ).
cnf(p5608,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(factoring,[status(thm)],[p5606]) ).
cnf(p24298,plain,
( ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p24297,p5608]) ).
cnf(p24366,plain,
( ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24298]) ).
cnf(p24369,plain,
( ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p24366]) ).
cnf(p25743,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25737,p24369]) ).
cnf(p25744,plain,
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25743]) ).
cnf(p25746,plain,
( ssPv4(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25744]) ).
cnf(p25768,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25746,p1123]) ).
cnf(p25804,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25768]) ).
cnf(p25806,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25804]) ).
cnf(p25851,plain,
( ssPv2(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25806,p24297]) ).
cnf(p25853,plain,
( ssPv2(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25851]) ).
cnf(p25859,plain,
( ssPv2(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25853]) ).
cnf(p75,plain,
( ssPv3(skf2(X1))
| ssPv2(X0)
| ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(p230,plain,
( ssPv3(skf2(X0))
| ssPv2(skf3(skf2(X0)))
| ssPv3(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p75,c0]) ).
cnf(p25877,plain,
( ssPv3(skf2(X0))
| ssPv2(skf3(skf2(X0)))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p25859,p230]) ).
cnf(p25867,plain,
( ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p154]) ).
cnf(p26142,plain,
( ~ ssPv4(skf3(X0))
| ~ ssPv2(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25867]) ).
cnf(p26241,plain,
( ~ ssPv4(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p25877,p26142]) ).
cnf(p26720,plain,
( ~ ssPv4(skf3(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p26241]) ).
cnf(p1626,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p1625,p66]) ).
cnf(p1695,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p1626]) ).
cnf(p1723,plain,
( ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p1695]) ).
cnf(f27,negated_conjecture,
( ssPv4(V)
| ssPv3(W)
| ssPv4(U)
| ~ ssPv4(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f27_nnf,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv3(W)
| ssPv4(U)
| ~ ssPv4(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv3(W)
| ssPv4(U)
| ~ ssPv4(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ssPv4(X1)
| ssPv3(X2)
| ssPv4(X0)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p195,plain,
( ssPv4(X1)
| ssPv3(X0)
| ssPv4(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(p696,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(skf3(skf2(X0)))
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[p195,c1]) ).
cnf(p698,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(skf3(skf2(X0)))
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p696,c1]) ).
cnf(p1747,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(skf3(skf2(X0))) ),
inference(resolution,[status(thm)],[p1723,p698]) ).
cnf(p2375,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(skf3(skf2(X0))) ),
inference(factoring,[status(thm)],[p1747]) ).
cnf(p2377,plain,
( ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(skf3(skf2(X0))) ),
inference(factoring,[status(thm)],[p2375]) ).
cnf(p26721,plain,
( ssPv3(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p26720,p2377]) ).
cnf(p27068,plain,
( ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p26721]) ).
cnf(p27074,plain,
( ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27068]) ).
cnf(p27075,plain,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27074]) ).
cnf(f6,negated_conjecture,
( ssPv1(V)
| ssPv1(U)
| ~ ssPv3(V)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f6_nnf,plain,
! [U,V] :
( ssPv1(V)
| ssPv1(U)
| ~ ssPv3(V)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [U,V] :
( ssPv1(V)
| ssPv1(U)
| ~ ssPv3(V)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p56,plain,
( ssPv1(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(p25860,plain,
( ssPv1(X0)
| ssPv1(skf3(X0))
| ~ ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p56]) ).
cnf(p27110,plain,
( ssPv1(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p27075,p25860]) ).
cnf(p27175,plain,
( ssPv1(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27110]) ).
cnf(p108,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p102,c0]) ).
cnf(p25863,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ~ ssPv1(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p108]) ).
cnf(p26101,plain,
( ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25863]) ).
cnf(p27181,plain,
( ssPv4(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p27175,p26101]) ).
cnf(p27296,plain,
( ssPv4(skf3(skf2(X0)))
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27181]) ).
cnf(f28,negated_conjecture,
( ssPv4(V)
| ssPv2(X)
| ssPv4(W)
| ~ ssRr(X,V)
| ~ ssRr(W,V)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f28_nnf,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv2(X)
| ssPv4(W)
| ~ ssRr(X,V)
| ~ ssRr(W,V)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [U,V,W,X] :
( ssPv4(V)
| ssPv2(X)
| ssPv4(W)
| ~ ssRr(X,V)
| ~ ssRr(W,V)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( ssPv4(X1)
| ssPv2(X3)
| ssPv4(X2)
| ~ ssRr(X3,X1)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p198,plain,
( ssPv4(X1)
| ssPv2(X2)
| ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c28]) ).
cnf(p336,plain,
( ssPv4(skf2(X0))
| ssPv2(X1)
| ssPv4(X0)
| ~ ssRr(X1,skf2(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p198,c1]) ).
cnf(p25883,plain,
( ssPv4(skf2(X0))
| ssPv2(X1)
| ssPv4(X0)
| ~ ssRr(X1,skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p336]) ).
cnf(p26489,plain,
( ssPv4(skf2(X0))
| ssPv2(X1)
| ~ ssRr(X1,skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p25883]) ).
cnf(p26491,plain,
( ssPv4(skf2(X0))
| ssPv2(skf3(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p26489,c0]) ).
cnf(p26525,plain,
( ~ ssPv4(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p26491,p26142]) ).
cnf(p26528,plain,
( ~ ssPv4(skf3(skf2(X0)))
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p26525]) ).
cnf(p27325,plain,
( ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p27296,p26528]) ).
cnf(p27328,plain,
( ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27325]) ).
cnf(p25864,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p25859,p109]) ).
cnf(p26102,plain,
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p25864]) ).
cnf(p27333,plain,
( ssPv4(skf2(X0))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p27328,p26102]) ).
cnf(p27337,plain,
( ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27333]) ).
cnf(p193,plain,
( ssPv4(X1)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c27]) ).
cnf(p321,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[p193,c1]) ).
cnf(p333,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p321,c1]) ).
cnf(p27350,plain,
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p27337,p333]) ).
cnf(p27403,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27350]) ).
cnf(p27406,plain,
( ssPv4(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27403]) ).
cnf(p27408,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p27406]) ).
cnf(f15,negated_conjecture,
( ssPv3(U)
| ssPv1(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f15_nnf,plain,
! [U,V,W] :
( ssPv3(U)
| ssPv1(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [U,V,W] :
( ssPv3(U)
| ssPv1(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ssPv3(X0)
| ssPv1(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p120,plain,
( ssPv3(X0)
| ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[c15,c1]) ).
cnf(p27413,plain,
( ssPv3(X0)
| ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27408,p120]) ).
cnf(p27586,plain,
( ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p27413]) ).
cnf(p27588,plain,
( ssPv1(X0)
| ~ ssPv2(skf3(X0))
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p27586,c0]) ).
cnf(p27591,plain,
( ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[p27588,p25859]) ).
cnf(p27593,plain,
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(factoring,[status(thm)],[p27591]) ).
cnf(p27605,plain,
( ssPv4(X0)
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p27593,p397]) ).
cnf(p27759,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ~ ssPv2(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p27605,c0]) ).
cnf(p27810,plain,
( ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p27759,p25859]) ).
cnf(p27814,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p27810]) ).
cnf(p106,plain,
( ssPv4(skf3(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p97,p65]) ).
cnf(p448,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p106]) ).
cnf(p456,plain,
( ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p448]) ).
cnf(p26143,plain,
( ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ~ ssPv4(skf3(skf3(X0)))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p26142,p456]) ).
cnf(p26622,plain,
( ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(skf3(skf3(X0)))
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p26143]) ).
cnf(p27845,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p27814,p26622]) ).
cnf(p28104,plain,
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p27845]) ).
cnf(p28105,plain,
( ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p28104]) ).
cnf(p28109,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p28105,p26101]) ).
cnf(p28114,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p28109]) ).
cnf(p28116,plain,
( ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p28114]) ).
cnf(p28148,plain,
( ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28116,p26528]) ).
cnf(p28155,plain,
( ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p28148]) ).
cnf(f23,negated_conjecture,
( ssPv4(U)
| ~ ssPv3(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f23_nnf,plain,
! [U,V,W] :
( ssPv4(U)
| ~ ssPv3(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [U,V,W] :
( ssPv4(U)
| ~ ssPv3(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p165,plain,
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c23]) ).
cnf(p170,plain,
( ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p165,c0]) ).
cnf(p28157,plain,
( ssPv4(skf3(skf2(X0)))
| ~ ssPv3(skf3(skf2(X0)))
| ~ ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28155,p170]) ).
cnf(p29045,plain,
( ssPv4(skf2(X0))
| ssPv4(skf3(skf2(X0)))
| ~ ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28157,p25859]) ).
cnf(p29142,plain,
( ssPv4(skf3(skf2(X0)))
| ~ ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p29045]) ).
cnf(p171,plain,
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[p165,c1]) ).
cnf(p28158,plain,
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28155,p171]) ).
cnf(p28240,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p28158]) ).
cnf(p28244,plain,
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28240,p25859]) ).
cnf(p28245,plain,
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p28244]) ).
cnf(p28253,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv4(skf2(X0))
| ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p28245,p28155]) ).
cnf(p28325,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv4(skf2(skf2(X0))) ),
inference(factoring,[status(thm)],[p28253]) ).
cnf(p196,plain,
( ssPv4(skf2(X1))
| ssPv3(X0)
| ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[c27,c1]) ).
cnf(p697,plain,
( ssPv4(skf2(X0))
| ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[p196,c0]) ).
cnf(p699,plain,
( ssPv4(skf2(X0))
| ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p697,c1]) ).
cnf(p28351,plain,
( ssPv4(skf2(X0))
| ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p28325,p699]) ).
cnf(p28466,plain,
( ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p28351]) ).
cnf(p28468,plain,
( ssPv3(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p28466]) ).
cnf(p29143,plain,
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv4(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p29142,p28468]) ).
cnf(p29144,plain,
( ssPv4(X0)
| ssPv4(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p29143]) ).
cnf(p29146,plain,
( ssPv4(skf3(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p29144]) ).
cnf(p29169,plain,
( ssPv4(skf2(X0))
| ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p29146,p26528]) ).
cnf(p29172,plain,
( ssPv4(X0)
| ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p29169]) ).
cnf(p29174,plain,
( ssPv4(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p29172]) ).
cnf(p435,plain,
( ssPv3(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X0))
| ~ ssRr(skf2(X0),X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p238,c1]) ).
cnf(p25885,plain,
( ssPv3(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X0))
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p435]) ).
cnf(p26535,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ~ ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25885,c1]) ).
cnf(p29212,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p29174,p26535]) ).
cnf(p29318,plain,
( ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p29212]) ).
cnf(p29319,plain,
( ssPv3(skf2(skf2(skf2(X0))))
| ssPv4(skf2(skf2(X0)))
| ~ ssPv4(skf2(skf2(skf2(X0))))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p29318,p114]) ).
cnf(p31603,plain,
( ssPv3(skf2(skf2(skf2(X0))))
| ~ ssPv4(skf2(skf2(skf2(X0))))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p29319]) ).
cnf(p31605,plain,
( ssPv4(skf2(skf2(X0)))
| ssPv3(skf2(skf2(skf2(X0))))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31603,p29174]) ).
cnf(p31606,plain,
( ssPv3(skf2(skf2(skf2(X0))))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31605]) ).
cnf(f24,negated_conjecture,
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f24_nnf,plain,
! [U,V,W] :
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [U,V,W] :
( ssPv1(V)
| ~ ssPv3(V)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p176,plain,
( ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[c24,c1]) ).
cnf(p29185,plain,
( ssPv1(skf2(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ~ ssPv3(X1)
| ~ ssRr(skf2(skf2(X0)),X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p29174,p176]) ).
cnf(p30138,plain,
( ssPv1(skf2(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ~ ssPv3(skf2(skf2(skf2(X0))))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p29185,c1]) ).
cnf(p31633,plain,
( ssPv1(skf2(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31606,p30138]) ).
cnf(p31635,plain,
( ssPv1(skf2(skf2(X0)))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31633]) ).
cnf(p31638,plain,
( ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv1(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31635,p29318]) ).
cnf(p31640,plain,
( ssPv4(X0)
| ssPv1(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31638]) ).
cnf(p31641,plain,
( ssPv1(skf2(skf2(X0)))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31640]) ).
cnf(f40,negated_conjecture,
( ~ ssPv1(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f40_nnf,plain,
! [U,V,W,X] :
( ~ ssPv1(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [U,V,W,X] :
( ~ ssPv1(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ ssPv1(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(p340,plain,
( ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c40]) ).
cnf(p613,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p340,c1]) ).
cnf(p25894,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p613]) ).
cnf(p26550,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ~ ssPv2(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25894,c1]) ).
cnf(p26551,plain,
( ssPv4(skf2(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p26550,p25859]) ).
cnf(p31648,plain,
( ssPv4(skf2(skf2(X0)))
| ~ ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31641,p26551]) ).
cnf(p31656,plain,
( ~ ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31648]) ).
cnf(p31657,plain,
( ~ ssPv1(skf2(X0))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31656]) ).
cnf(p118,plain,
( ssPv3(X0)
| ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c15]) ).
cnf(p122,plain,
( ssPv3(X0)
| ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p118,c1]) ).
cnf(p27411,plain,
( ssPv3(X0)
| ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27408,p122]) ).
cnf(p27478,plain,
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p27411]) ).
cnf(p27483,plain,
( ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27478,p25859]) ).
cnf(p27485,plain,
( ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p27483]) ).
cnf(p31660,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31657,p27485]) ).
cnf(p31662,plain,
( ssPv3(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31660]) ).
cnf(f19,negated_conjecture,
( ssPv3(U)
| ~ ssPv4(V)
| ~ ssPv3(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f19_nnf,plain,
! [U,V,W] :
( ssPv3(U)
| ~ ssPv4(V)
| ~ ssPv3(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [U,V,W] :
( ssPv3(U)
| ~ ssPv4(V)
| ~ ssPv3(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p146,plain,
( ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(p254,plain,
( ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p146,c1]) ).
cnf(p31672,plain,
( ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31662,p254]) ).
cnf(p31704,plain,
( ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31672]) ).
cnf(f17,negated_conjecture,
( ssPv2(V)
| ssPv3(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f17_nnf,plain,
! [U,V,W] :
( ssPv2(V)
| ssPv3(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [U,V,W] :
( ssPv2(V)
| ssPv3(W)
| ~ ssPv4(V)
| ~ ssRr(W,V)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ssPv2(X1)
| ssPv3(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p132,plain,
( ssPv2(X1)
| ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c17]) ).
cnf(p136,plain,
( ssPv2(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[p132,c1]) ).
cnf(p27487,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ~ ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27485,p136]) ).
cnf(f16,negated_conjecture,
( ssPv3(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f16_nnf,plain,
! [U,V,W] :
( ssPv3(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [U,V,W] :
( ssPv3(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ssPv3(X0)
| ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p126,plain,
( ssPv3(X0)
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c16]) ).
cnf(p130,plain,
( ssPv3(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[p126,c1]) ).
cnf(p25866,plain,
( ssPv3(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p25859,p130]) ).
cnf(p26120,plain,
( ssPv3(X0)
| ~ ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(factoring,[status(thm)],[p25866]) ).
cnf(p27494,plain,
( ssPv3(skf2(X0))
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27485,p26120]) ).
cnf(p27738,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27487,p27494]) ).
cnf(p31313,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p27738]) ).
cnf(p31314,plain,
( ssPv4(X0)
| ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31313]) ).
cnf(p31317,plain,
( ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31314]) ).
cnf(f38,negated_conjecture,
( ssPv4(U)
| ~ ssPv1(V)
| ~ ssPv2(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f38_nnf,plain,
! [U,V,W,X] :
( ssPv4(U)
| ~ ssPv1(V)
| ~ ssPv2(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [U,V,W,X] :
( ssPv4(U)
| ~ ssPv1(V)
| ~ ssPv2(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p296,plain,
( ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c38]) ).
cnf(p533,plain,
( ssPv4(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1) ),
inference(resolution,[status(thm)],[p296,c1]) ).
cnf(p540,plain,
( ssPv4(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(skf2(X0)))
| ~ ssPv4(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[p533,c1]) ).
cnf(p27519,plain,
( ssPv4(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p27494,p540]) ).
cnf(p29945,plain,
( ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(skf2(X0)))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p27519]) ).
cnf(p31355,plain,
( ~ ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p31317,p29945]) ).
cnf(p31369,plain,
( ~ ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31355]) ).
cnf(p31370,plain,
( ~ ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31369]) ).
cnf(p31372,plain,
( ~ ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31370]) ).
cnf(p31375,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[p31372,p27485]) ).
cnf(p31378,plain,
( ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31375]) ).
cnf(p31381,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(factoring,[status(thm)],[p31378]) ).
cnf(p31705,plain,
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31704,p31381]) ).
cnf(p31706,plain,
( ssPv3(X0)
| ~ ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31705]) ).
cnf(p31709,plain,
( ~ ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31706]) ).
cnf(p31711,plain,
( ssPv4(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31709,p29174]) ).
cnf(p31714,plain,
( ssPv3(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31711]) ).
cnf(f39,negated_conjecture,
( ~ ssPv3(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv1(W)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f39_nnf,plain,
! [U,V,W,X] :
( ~ ssPv3(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv1(W)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [U,V,W,X] :
( ~ ssPv3(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssPv1(W)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( ~ ssPv3(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p324,plain,
( ~ ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c39]) ).
cnf(p553,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p324,c1]) ).
cnf(p31732,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31714,p553]) ).
cnf(p31716,plain,
( ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31714,p114]) ).
cnf(p31895,plain,
( ssPv3(skf2(X0))
| ~ ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31716]) ).
cnf(p31896,plain,
( ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31895,p29174]) ).
cnf(p31897,plain,
( ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31896]) ).
cnf(p27595,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p27593,p97]) ).
cnf(p27666,plain,
( ssPv4(X0)
| ssPv2(skf3(skf3(X0)))
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p27595]) ).
cnf(p27699,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p27666,p26142]) ).
cnf(p27708,plain,
( ~ ssPv4(skf3(skf3(X0)))
| ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(factoring,[status(thm)],[p27699]) ).
cnf(p27852,plain,
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p27814,p27708]) ).
cnf(p28638,plain,
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p27852]) ).
cnf(p28639,plain,
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(skf3(X0)) ),
inference(factoring,[status(thm)],[p28638]) ).
cnf(p28648,plain,
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p28639,p26101]) ).
cnf(p28654,plain,
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p28648]) ).
cnf(p28655,plain,
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p28654]) ).
cnf(p175,plain,
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[c24,c0]) ).
cnf(p28664,plain,
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p28655,p175]) ).
cnf(p28752,plain,
( ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p28664]) ).
cnf(p28754,plain,
( ~ ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p28752,c1]) ).
cnf(p31929,plain,
( ~ ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31897,p28754]) ).
cnf(p31935,plain,
( ~ ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31929]) ).
cnf(p31939,plain,
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31935,p31714]) ).
cnf(p31940,plain,
( ssPv1(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31939]) ).
cnf(p32284,plain,
( ssPv4(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31732,p31940]) ).
cnf(p32706,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32284]) ).
cnf(p32707,plain,
( ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32706,c1]) ).
cnf(p32708,plain,
( ssPv4(skf2(skf2(X0)))
| ~ ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32707,p31940]) ).
cnf(p32710,plain,
( ssPv4(X0)
| ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32708,p31897]) ).
cnf(p32711,plain,
( ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32710]) ).
cnf(f36,negated_conjecture,
( ssPv2(V)
| ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f36_nnf,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [U,V,W,X] :
( ssPv2(V)
| ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( ssPv2(X1)
| ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p268,plain,
( ssPv2(X1)
| ssPv3(X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c36]) ).
cnf(p498,plain,
( ssPv2(skf2(X0))
| ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p268,c1]) ).
cnf(p25888,plain,
( ssPv2(skf2(X0))
| ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssRr(skf2(X0),X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25859,p498]) ).
cnf(p26544,plain,
( ssPv2(skf2(X0))
| ssPv3(skf2(skf2(X0)))
| ~ ssPv4(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p25888,c1]) ).
cnf(p32745,plain,
( ssPv2(skf2(X0))
| ssPv3(skf2(skf2(X0)))
| ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32711,p26544]) ).
cnf(p32797,plain,
( ssPv2(skf2(X0))
| ssPv3(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32745]) ).
cnf(p32728,plain,
( ssPv2(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32711,p496]) ).
cnf(p32791,plain,
( ssPv2(skf2(X0))
| ~ ssPv3(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32728]) ).
cnf(p32824,plain,
( ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32797,p32791]) ).
cnf(p32827,plain,
( ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32824]) ).
cnf(p32828,plain,
( ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32827]) ).
cnf(p31900,plain,
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p31897,p171]) ).
cnf(p31958,plain,
( ~ ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p31900]) ).
cnf(p32856,plain,
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32828,p31958]) ).
cnf(p32859,plain,
( ~ ssPv3(X0)
| ssPv4(X0) ),
inference(factoring,[status(thm)],[p32856]) ).
cnf(p32863,plain,
( ssPv4(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[p32859,p31714]) ).
cnf(p32864,plain,
ssPv4(X0),
inference(factoring,[status(thm)],[p32863]) ).
cnf(f22,negated_conjecture,
( ssPv1(W)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f22_nnf,plain,
! [U,V,W] :
( ssPv1(W)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [U,V,W] :
( ssPv1(W)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ssPv1(X2)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p162,plain,
( ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[c22,c0]) ).
cnf(p32873,plain,
( ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p32864,p162]) ).
cnf(p32964,plain,
( ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p32873,c0]) ).
cnf(f10,negated_conjecture,
( ssPv1(V)
| ssPv2(W)
| ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10_nnf,plain,
! [U,V,W] :
( ssPv1(V)
| ssPv2(W)
| ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [U,V,W] :
( ssPv1(V)
| ssPv2(W)
| ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ssPv1(X1)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p81,plain,
( ssPv1(X0)
| ssPv2(X1)
| ssPv1(skf3(X0))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c10,c0]) ).
cnf(p139,plain,
( ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(skf3(X0)))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p81,c0]) ).
cnf(p32870,plain,
( ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p32864,p139]) ).
cnf(p32972,plain,
( ssPv1(skf3(X0))
| ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv4(skf3(skf3(X0))) ),
inference(resolution,[status(thm)],[p32964,p32870]) ).
cnf(p33183,plain,
( ssPv2(X0)
| ssPv1(skf3(X0))
| ~ ssPv4(skf3(skf3(X0))) ),
inference(factoring,[status(thm)],[p32972]) ).
cnf(p33184,plain,
( ssPv2(X0)
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[p33183,p32864]) ).
cnf(p33195,plain,
( ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33184,p32964]) ).
cnf(p33196,plain,
( ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33195,p32864]) ).
cnf(p33208,plain,
( ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p33196,p32964]) ).
cnf(p33217,plain,
( ssPv1(X0)
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p33208,p32864]) ).
cnf(p121,plain,
( ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv2(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[p118,c0]) ).
cnf(p32867,plain,
( ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p32864,p121]) ).
cnf(p33229,plain,
( ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33217,p32867]) ).
cnf(p33232,plain,
( ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(factoring,[status(thm)],[p33229]) ).
cnf(p32875,plain,
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p32864,p175]) ).
cnf(p32966,plain,
( ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p32875,c0]) ).
cnf(p33250,plain,
( ssPv1(skf3(skf3(X0)))
| ~ ssPv3(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33232,p32966]) ).
cnf(p145,plain,
( ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[c19,c0]) ).
cnf(p181,plain,
( ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p145,c1]) ).
cnf(p32872,plain,
( ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p32864,p181]) ).
cnf(p33249,plain,
( ssPv3(skf3(skf3(X0)))
| ~ ssPv4(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33232,p32872]) ).
cnf(p33267,plain,
( ssPv3(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33249,p32864]) ).
cnf(p33349,plain,
( ssPv1(X0)
| ssPv1(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33250,p33267]) ).
cnf(p33350,plain,
( ssPv1(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(factoring,[status(thm)],[p33349]) ).
cnf(p33357,plain,
( ssPv1(skf3(X0))
| ~ ssPv4(skf3(skf3(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33350,p32964]) ).
cnf(p33361,plain,
( ssPv1(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33357,p32864]) ).
cnf(p33364,plain,
( ssPv1(X0)
| ~ ssPv4(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[p33361,p32964]) ).
cnf(p33365,plain,
( ~ ssPv4(skf3(X0))
| ssPv1(X0) ),
inference(factoring,[status(thm)],[p33364]) ).
cnf(p33366,plain,
ssPv1(X0),
inference(resolution,[status(thm)],[p33365,p32864]) ).
cnf(p51,plain,
( ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(p33367,plain,
( ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[p33366,p51]) ).
cnf(p33373,plain,
( ssPv2(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33367,p32864]) ).
cnf(p33375,plain,
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33373,p78]) ).
cnf(p33413,plain,
( ssPv3(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p33375]) ).
cnf(p33198,plain,
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33196,p50]) ).
cnf(p33324,plain,
( ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p33198]) ).
cnf(p33325,plain,
( ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33324,p32864]) ).
cnf(f41,negated_conjecture,
( ~ ssPv1(V)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f41_nnf,plain,
! [U,V,W,X] :
( ~ ssPv1(V)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [U,V,W,X] :
( ~ ssPv1(V)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( ~ ssPv1(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(p348,plain,
( ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(factoring,[status(thm)],[c41]) ).
cnf(p630,plain,
( ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[p348,c0]) ).
cnf(p32885,plain,
( ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p32864,p630]) ).
cnf(p33346,plain,
( ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33325,p32885]) ).
cnf(p33404,plain,
( ~ ssPv1(X0)
| ~ ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33346,c1]) ).
cnf(p33422,plain,
( ~ ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33413,p33404]) ).
cnf(p33424,plain,
( ~ ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p33422]) ).
cnf(p33425,plain,
( ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33424,p33366]) ).
cnf(p33370,plain,
( ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p33366,p518]) ).
cnf(p33408,plain,
( ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[p33370,c0]) ).
cnf(p33436,plain,
( ssPv2(X0)
| ~ ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[p33425,p33408]) ).
cnf(p33438,plain,
( ~ ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(factoring,[status(thm)],[p33436]) ).
cnf(p33439,plain,
ssPv2(X0),
inference(resolution,[status(thm)],[p33438,p33366]) ).
cnf(p612,plain,
( ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[p340,c0]) ).
cnf(p33442,plain,
( ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[p33439,p612]) ).
cnf(p33452,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[p33442,c0]) ).
cnf(p33454,plain,
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[p33452,p33439]) ).
cnf(p33455,plain,
~ ssPv1(skf3(X0)),
inference(resolution,[status(thm)],[p33454,p33366]) ).
cnf(p33456,plain,
$false,
inference(resolution,[status(thm)],[p33455,p33366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN784-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 02:17:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 39.83/37.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.83/37.52 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------