%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 03:33:43 PM UTC 2026
% Result : Unsatisfiable 4.81s 1.19s
% Output : Proof 4.81s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
( big_f(X,Y)
| Y != b
| X != a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( big_f(X,Y)
| Y != b
| X != a ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( big_f(X,Y)
| Y != b
| X != a ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( big_f(X0,X1)
| X1 != b
| X0 != a ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p28,plain,
( big_f(a,X0)
| X0 != b ),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(f1,axiom,
( Y = b
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X,Y] :
( Y = b
| ~ big_f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( Y = b
| ~ big_f(X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( X1 = b
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f5,negated_conjecture,
( f(X) = X
| big_f(Y,f(X))
| Y != g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [Y,X] :
( f(X) = X
| big_f(Y,f(X))
| Y != g(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Y,X] :
( f(X) = X
| big_f(Y,f(X))
| Y != g(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( f(X1) = X1
| big_f(X0,f(X1))
| X0 != g(X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p11,plain,
( f(X0) = X0
| big_f(g(X0),f(X0)) ),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(f3,negated_conjecture,
( f(X) = X
| Y != g(X)
| ~ big_f(Y,f(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [Y,X] :
( f(X) = X
| Y != g(X)
| ~ big_f(Y,f(X)) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y,X] :
( f(X) = X
| Y != g(X)
| ~ big_f(Y,f(X)) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( f(X1) = X1
| X0 != g(X1)
| ~ big_f(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p10,plain,
( f(X0) = X0
| ~ big_f(g(X0),f(X0)) ),
inference(equality_resolution,[status(thm)],[c3]) ).
cnf(p13,plain,
( f(X0) = X0
| f(X0) = X0 ),
inference(resolution,[status(thm)],[p11,p10]) ).
cnf(p15,plain,
f(X0) = X0,
inference(factoring,[status(thm)],[p13]) ).
cnf(f8,negated_conjecture,
( h(X,Z) = Z
| big_f(h(X,Z),f(X))
| f(X) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
! [X,Z] :
( h(X,Z) = Z
| big_f(h(X,Z),f(X))
| f(X) != X ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Z] :
( h(X,Z) = Z
| big_f(h(X,Z),f(X))
| f(X) != X ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),f(X0))
| f(X0) != X0 ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p18,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),X0)
| X0 != X0 ),
inference(demodulation,[status(thm)],[p15,c8]) ).
cnf(p20,plain,
( h(X0,X1) = X1
| big_f(h(X0,X1),X0) ),
inference(equality_resolution,[status(thm)],[p18]) ).
cnf(p22,plain,
( h(X0,X1) = X1
| X0 = b ),
inference(resolution,[status(thm)],[c1,p20]) ).
cnf(p59,plain,
( X0 = b
| big_f(a,h(X0,b)) ),
inference(resolution,[status(thm)],[p28,p22]) ).
cnf(f9,negated_conjecture,
( ~ big_f(h(X,Z),f(X))
| h(X,Z) != Z
| f(X) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
! [X,Z] :
( ~ big_f(h(X,Z),f(X))
| h(X,Z) != Z
| f(X) != X ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Z] :
( ~ big_f(h(X,Z),f(X))
| h(X,Z) != Z
| f(X) != X ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ big_f(h(X0,X1),f(X0))
| h(X0,X1) != X1
| f(X0) != X0 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p19,plain,
( ~ big_f(h(X0,X1),X0)
| h(X0,X1) != X1
| X0 != X0 ),
inference(demodulation,[status(thm)],[p15,c9]) ).
cnf(p31,plain,
( ~ big_f(h(X0,X1),X0)
| h(X0,X1) != X1 ),
inference(equality_resolution,[status(thm)],[p19]) ).
cnf(f0,axiom,
( X = a
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( X = a
| ~ big_f(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( X = a
| ~ big_f(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 = a
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p21,plain,
( h(X0,X1) = a
| h(X0,X1) = X1 ),
inference(resolution,[status(thm)],[p20,c0]) ).
cnf(p23,plain,
h(X0,a) = a,
inference(factoring,[status(thm)],[p21]) ).
cnf(p33,plain,
~ big_f(a,X0),
inference(resolution,[status(thm)],[p31,p23]) ).
cnf(p63,plain,
X0 = b,
inference(resolution,[status(thm)],[p59,p33]) ).
cnf(p66,plain,
~ b,
inference(demodulation,[status(thm)],[p63,p33]) ).
cnf(p64,plain,
b,
inference(demodulation,[status(thm)],[p63,p15]) ).
cnf(p67,plain,
$false,
inference(resolution,[status(thm)],[p66,p64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:08:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.81/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.81/1.19 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------