%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:35:33 PM UTC 2026
% Result : Unsatisfiable 19.45s 7.92s
% Output : Proof 19.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 45 unt; 0 def)
% Number of atoms : 117 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 66 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 18 con; 0-4 aty)
% Number of variables : 118 ( 4 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f100,negated_conjecture,
( ~ p3(X52,X54)
| ~ p20(X51,X53)
| p21(f22(X51,X52),f22(X53,X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_101) ).
fof(f100_nnf,plain,
! [X51,X52,X53,X54] :
( ~ p3(X52,X54)
| ~ p20(X51,X53)
| p21(f22(X51,X52),f22(X53,X54)) ),
inference(nnf_transformation,[status(thm)],[f100]) ).
fof(f100_sk,plain,
! [X51,X52,X53,X54] :
( ~ p3(X52,X54)
| ~ p20(X51,X53)
| p21(f22(X51,X52),f22(X53,X54)) ),
inference(skolemisation,[status(esa)],[f100_nnf]) ).
cnf(c100,plain,
( ~ p3(X1,X3)
| ~ p20(X0,X2)
| p21(f22(X0,X1),f22(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f100_sk]) ).
cnf(hi99,negated_conjecture,
ifeq(p20(X0,X1),true,ifeq(p3(X2,X3),true,p21(f22(X0,X2),f22(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c100]) ).
cnf(f25,negated_conjecture,
p20(X41,X41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_26) ).
fof(f25_nnf,plain,
! [X41] : p20(X41,X41),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X41] : p20(X41,X41),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
p20(X0,X0),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi25,negated_conjecture,
p20(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f35,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).
fof(f35_nnf,plain,
p3(c84,f10(c72,c73)),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c35,plain,
p3(c84,f10(c72,c73)),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(hi35,negated_conjecture,
p3(c84,f10(c72,c73)) = true,
inference(equality_encoding,[status(esa)],[c35]) ).
cnf(h0,plain,
p21(f22(V0,c84),f22(V0,f10(c72,c73))) = true,
inference(hyper_resolution,[status(thm)],[hi99,hi25,hi35]) ).
cnf(f71,negated_conjecture,
( ~ p57(f26(X197,X198),X199)
| p57(f26(f30(c85,X197),X198),X199) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_72) ).
fof(f71_nnf,plain,
! [X197,X198,X199] :
( ~ p57(f26(X197,X198),X199)
| p57(f26(f30(c85,X197),X198),X199) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
! [X197,X198,X199] :
( ~ p57(f26(X197,X198),X199)
| p57(f26(f30(c85,X197),X198),X199) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
( ~ p57(f26(X0,X1),X2)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(hi70,negated_conjecture,
ifeq(p57(f26(X0,X1),X2),true,p57(f26(f30(c85,X0),X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c71]) ).
cnf(f79,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_80) ).
fof(f79_nnf,plain,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(nnf_transformation,[status(thm)],[f79]) ).
cnf(c79,plain,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(cnf_transformation,[status(esa)],[f79_nnf]) ).
cnf(hi78,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) = true,
inference(equality_encoding,[status(esa)],[c79]) ).
cnf(h109,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) = true,
inference(hyper_resolution,[status(thm)],[hi70,hi78]) ).
cnf(f80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_81) ).
fof(f80_nnf,plain,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(nnf_transformation,[status(thm)],[f80]) ).
cnf(c80,plain,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(cnf_transformation,[status(esa)],[f80_nnf]) ).
cnf(hi79,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) = true,
inference(equality_encoding,[status(esa)],[c80]) ).
cnf(h114,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) = true,
inference(hyper_resolution,[status(thm)],[hi70,hi79]) ).
cnf(f106,negated_conjecture,
( ~ p57(f26(f30(c85,X200),X203),X202)
| ~ p57(f26(f30(c85,X200),X201),X203)
| p57(f26(f30(c85,X200),X201),X202) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_107) ).
fof(f106_nnf,plain,
! [X200,X201,X202,X203] :
( ~ p57(f26(f30(c85,X200),X203),X202)
| ~ p57(f26(f30(c85,X200),X201),X203)
| p57(f26(f30(c85,X200),X201),X202) ),
inference(nnf_transformation,[status(thm)],[f106]) ).
fof(f106_sk,plain,
! [X200,X201,X202,X203] :
( ~ p57(f26(f30(c85,X200),X203),X202)
| ~ p57(f26(f30(c85,X200),X201),X203)
| p57(f26(f30(c85,X200),X201),X202) ),
inference(skolemisation,[status(esa)],[f106_nnf]) ).
cnf(c106,plain,
( ~ p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| p57(f26(f30(c85,X0),X1),X2) ),
inference(cnf_transformation,[status(esa)],[f106_sk]) ).
cnf(hi104,negated_conjecture,
ifeq(p57(f26(f30(c85,X0),X1),X2),true,ifeq(p57(f26(f30(c85,X0),X2),X3),true,p57(f26(f30(c85,X0),X1),X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c106]) ).
cnf(h512,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)) = true,
inference(hyper_resolution,[status(thm)],[hi104,h114,h109]) ).
cnf(f75,negated_conjecture,
( ~ p21(X195,X194)
| ~ p57(X196,X195)
| ~ p25(X196,X193)
| p57(X193,X194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_76) ).
fof(f75_nnf,plain,
! [X193,X194,X196,X195] :
( ~ p21(X195,X194)
| ~ p57(X196,X195)
| ~ p25(X196,X193)
| p57(X193,X194) ),
inference(nnf_transformation,[status(thm)],[f75]) ).
fof(f75_sk,plain,
! [X193,X194,X196,X195] :
( ~ p21(X195,X194)
| ~ p57(X196,X195)
| ~ p25(X196,X193)
| p57(X193,X194) ),
inference(skolemisation,[status(esa)],[f75_nnf]) ).
cnf(c75,plain,
( ~ p21(X3,X1)
| ~ p57(X2,X3)
| ~ p25(X2,X0)
| p57(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f75_sk]) ).
cnf(hi74,negated_conjecture,
ifeq(p25(X0,X1),true,ifeq(p57(X0,X2),true,ifeq(p21(X2,X3),true,p57(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c75]) ).
cnf(f22,negated_conjecture,
p25(X58,X58),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_23) ).
fof(f22_nnf,plain,
! [X58] : p25(X58,X58),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X58] : p25(X58,X58),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
p25(X0,X0),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi22,negated_conjecture,
p25(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h516,plain,
p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))) = true,
inference(hyper_resolution,[status(thm)],[hi74,hi22,h512,h0]) ).
cnf(f104,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_105) ).
fof(f104_nnf,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(nnf_transformation,[status(thm)],[f104]) ).
fof(f104_sk,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(skolemisation,[status(esa)],[f104_nnf]) ).
cnf(c104,plain,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(cnf_transformation,[status(esa)],[f104_sk]) ).
cnf(hi115,negated_conjecture,
ifeq(p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c104]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi115,h516]) ).
cnf(t389,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f70,negated_conjecture,
~ p3(f19(f5(c66,f10(c72,c73)),c83),f10(c72,c73)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_71) ).
fof(f70_nnf,plain,
~ p3(f19(f5(c66,f10(c72,c73)),c83),f10(c72,c73)),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
~ p3(f19(f5(c66,f10(c72,c73)),c83),f10(c72,c73)),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c70,plain,
~ p3(f19(f5(c66,f10(c72,c73)),c83),f10(c72,c73)),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(f110,negated_conjecture,
( ~ p3(f19(f5(c66,X100),X101),f19(f5(c66,f10(f32(c88,X100),f10(c72,f10(c89,c73)))),X101))
| ~ p57(f26(c70,f22(f24(c71,X101),X100)),f22(f24(c71,X244),X245)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_111) ).
fof(f110_nnf,plain,
! [X101,X100,X244,X245] :
( ~ p3(f19(f5(c66,X100),X101),f19(f5(c66,f10(f32(c88,X100),f10(c72,f10(c89,c73)))),X101))
| ~ p57(f26(c70,f22(f24(c71,X101),X100)),f22(f24(c71,X244),X245)) ),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
! [X101,X100,X244,X245] :
( ~ p3(f19(f5(c66,X100),X101),f19(f5(c66,f10(f32(c88,X100),f10(c72,f10(c89,c73)))),X101))
| ~ p57(f26(c70,f22(f24(c71,X101),X100)),f22(f24(c71,X244),X245)) ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c110,plain,
( ~ p3(f19(f5(c66,X1),X0),f19(f5(c66,f10(f32(c88,X1),f10(c72,f10(c89,c73)))),X0))
| ~ p57(f26(c70,f22(f24(c71,X0),X1)),f22(f24(c71,X2),X3)) ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(f115,negated_conjecture,
( ~ p3(f19(f5(c66,f10(c72,c73)),f34(f44(f46(f48(c93,X90),X88),X89),X91)),f10(c72,c73))
| ~ p57(f26(c70,f22(f24(c71,X89),X90)),f22(f24(c71,X91),X88))
| ~ p3(f19(f5(c66,f10(c72,c73)),X91),f10(c72,c73))
| ~ p61(f51(c92,X90),c80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p61_116) ).
fof(f115_nnf,plain,
! [X90,X91,X89,X88] :
( ~ p3(f19(f5(c66,f10(c72,c73)),f34(f44(f46(f48(c93,X90),X88),X89),X91)),f10(c72,c73))
| ~ p57(f26(c70,f22(f24(c71,X89),X90)),f22(f24(c71,X91),X88))
| ~ p3(f19(f5(c66,f10(c72,c73)),X91),f10(c72,c73))
| ~ p61(f51(c92,X90),c80) ),
inference(nnf_transformation,[status(thm)],[f115]) ).
fof(f115_sk,plain,
! [X90,X91,X89,X88] :
( ~ p3(f19(f5(c66,f10(c72,c73)),f34(f44(f46(f48(c93,X90),X88),X89),X91)),f10(c72,c73))
| ~ p57(f26(c70,f22(f24(c71,X89),X90)),f22(f24(c71,X91),X88))
| ~ p3(f19(f5(c66,f10(c72,c73)),X91),f10(c72,c73))
| ~ p61(f51(c92,X90),c80) ),
inference(skolemisation,[status(esa)],[f115_nnf]) ).
cnf(c115,plain,
( ~ p3(f19(f5(c66,f10(c72,c73)),f34(f44(f46(f48(c93,X0),X3),X2),X1)),f10(c72,c73))
| ~ p57(f26(c70,f22(f24(c71,X2),X0)),f22(f24(c71,X1),X3))
| ~ p3(f19(f5(c66,f10(c72,c73)),X1),f10(c72,c73))
| ~ p61(f51(c92,X0),c80) ),
inference(cnf_transformation,[status(esa)],[f115_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c70,c104,c110,c115]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t389]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.38 % Computer : n015.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 02:13:33 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.45/7.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.45/7.92 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------