%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN735-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Thu Sep 24 03:20:27 PM UTC 2026
% Result : Satisfiable 0.08s 0.41s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V] :
( ssPv4(U)
| ssPv3(U)
| ssPv1(U)
| ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv1(U)
| ssPv2(W)
| ssPv3(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv2(W)
| ssPv4(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(U)
| ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ssPv3(W)
| ssPv4(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ssPv4(V)
| ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W] :
( ssPv2(W)
| ssPv4(V)
| ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv1(W)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv3(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W,X] :
( ssPv2(U)
| ssPv3(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ssPv3(W)
| ~ ssPv3(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ssPv3(W)
| ~ ssPv2(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W,X] :
( ssPv3(U)
| ssPv2(X)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W,X] :
( ssPv2(U)
| ssPv3(X)
| ~ ssRr(U,X)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ssPv4(W)
| ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W,X] :
( ssPv1(U)
| ssPv2(X)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ~ ssPv1(U)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ssPv1(U)
| ! [V] :
( ssPv1(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [U] :
( ssPv3(U)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [U] :
( ssPv3(U)
| ssPv1(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv3(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv4(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ! [W] :
( ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [U] :
( ssPv1(U)
| ! [W] :
( ssPv3(W)
| ! [V] :
( ssPv4(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [W] :
( ssPv3(W)
| ! [V] :
( ssPv4(V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [W] :
( ssPv2(W)
| ! [V] :
( ssPv4(V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv1(W)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv3(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [U] :
( ssPv2(U)
| ! [X] :
( ssPv3(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X] :
( ssPv2(X)
| ! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ssPv3(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [U] :
( ssPv3(U)
| ! [X] :
( ssPv2(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ssPv3(X0)
| ssPv2(X3)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [U] :
( ssPv2(U)
| ! [X] :
( ssPv3(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ssPv3(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X] :
( ssPv2(X)
| ! [W] :
( ssPv4(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ssPv4(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [U] :
( ssPv1(U)
| ! [X] :
( ssPv2(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ssPv1(X0)
| ssPv2(X3)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X] :
( ssPv2(X)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ~ ssPv1(X0)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f26,f22]) ).
fof(f64,plain,
! [X0,X1] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f46,f22]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f62,f22]) ).
fof(f67,plain,
! [X0,X1] :
( ssPv2(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f65,f22]) ).
fof(f68,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f67,f22]) ).
fof(f69,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f24,f22]) ).
fof(f71,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f28,f22]) ).
fof(f72,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f71,f22]) ).
fof(f73,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv2(X1)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f30,f22]) ).
fof(f74,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f32,f22]) ).
fof(f75,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f73,f22]) ).
fof(f77,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f74,f22]) ).
fof(f78,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f34,f22]) ).
fof(f79,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f78,f22]) ).
fof(f80,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f36,f22]) ).
fof(f81,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f80,f22]) ).
fof(f82,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f81,f69]) ).
fof(f83,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f38,f22]) ).
fof(f84,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f40,f22]) ).
fof(f85,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f42,f22]) ).
fof(f86,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f44,f22]) ).
fof(f87,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f83,f22]) ).
fof(f88,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f87,f69]) ).
fof(f89,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f84,f22]) ).
fof(f90,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f89,f72]) ).
fof(f91,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f69]) ).
fof(f92,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f85,f22]) ).
fof(f94,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f86,f22]) ).
fof(f95,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f94,f69]) ).
fof(f96,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f95]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f48,f22]) ).
fof(f106,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f105,f22]) ).
fof(f107,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f106,f22]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f50,f22]) ).
fof(f109,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f108,f22]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f52,f22]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f54,f22]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f56,f22]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f58,f22]) ).
fof(f114,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f109,f22]) ).
fof(f115,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f110,f22]) ).
fof(f116,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f115,f22]) ).
fof(f119,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f111,f22]) ).
fof(f120,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f119,f22]) ).
fof(f121,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f120,f91]) ).
fof(f122,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f120,f69]) ).
fof(f123,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f121]) ).
fof(f124,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f72]) ).
fof(f125,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f122]) ).
fof(f126,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f72]) ).
fof(f127,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f124,f107]) ).
fof(f129,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f124,f79]) ).
fof(f130,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f127]) ).
fof(f131,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f79]) ).
fof(f132,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f126,f107]) ).
fof(f135,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f96]) ).
fof(f136,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f131,f89]) ).
fof(f137,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f69]) ).
fof(f148,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f112,f22]) ).
fof(f150,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f113,f22]) ).
fof(f151,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f150,f22]) ).
fof(f153,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f151,f131]) ).
fof(f155,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f153]) ).
fof(f156,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f126]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f60,f22]) ).
fof(f165,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f164,f22]) ).
fof(f166,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f165,f22]) ).
fof(f174,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f129,f151]) ).
fof(f176,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f174]) ).
fof(f177,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN735-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:13:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.41 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.41 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.44 % Elapsed time: 0.064311 seconds
% 0.08/0.44 % CPU time: 0.386054 seconds
% 0.08/0.44 % Total memory used: 21.309 MB
% 0.08/0.44 % Net memory used: 20.364 MB
%------------------------------------------------------------------------------