%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:35:14 PM UTC 2026
% Result : Unsatisfiable 20.52s 3.10s
% Output : Proof 20.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 34 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 147 ( 75 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f22,negated_conjecture,
( ~ p9(f8(X33,X34),f6(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p9(c12,X33)
| ~ p11(X34,c15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).
fof(f22_nnf,plain,
! [X34,X33] :
( ~ p9(f8(X33,X34),f6(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p9(c12,X33)
| ~ p11(X34,c15) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X34,X33] :
( ~ p9(f8(X33,X34),f6(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p9(c12,X33)
| ~ p11(X34,c15) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p9(f8(X1,X0),f6(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p101,plain,
( ~ p9(f8(f6(X0),X0),f6(X0))
| ~ p9(c12,f6(X0))
| ~ p11(X0,c15) ),
inference(factoring,[status(thm)],[c22]) ).
cnf(f5,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).
fof(f5_nnf,plain,
p11(c14,c15),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
p11(c14,c15),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p1307,plain,
( ~ p9(f8(f6(c14),c14),f6(c14))
| ~ p9(c12,f6(c14)) ),
inference(resolution,[status(thm)],[p101,c5]) ).
cnf(f19,negated_conjecture,
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).
fof(f19_nnf,plain,
! [X28,X29,X31,X30] :
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X28,X29,X31,X30] :
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(f1,negated_conjecture,
p7(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f1_nnf,plain,
! [X21] : p7(X21,X21),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X21] : p7(X21,X21),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p70,plain,
( ~ p3(X2,X1)
| ~ p9(X0,X2)
| p9(X0,X1) ),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(f10,negated_conjecture,
( ~ p9(X32,c13)
| p9(X32,f6(c16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).
fof(f10_nnf,plain,
! [X32] :
( ~ p9(X32,c13)
| p9(X32,f6(c16)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X32] :
( ~ p9(X32,c13)
| p9(X32,f6(c16)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ p9(X0,c13)
| p9(X0,f6(c16)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f4,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).
fof(f4_nnf,plain,
p9(c12,c13),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
p9(c12,c13),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p23,plain,
p9(c12,f6(c16)),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(p274,plain,
( ~ p3(f6(c16),X0)
| p9(c12,X0) ),
inference(resolution,[status(thm)],[p70,p23]) ).
cnf(f16,negated_conjecture,
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f16_nnf,plain,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f8,negated_conjecture,
p3(f6(f5(X20)),f6(X20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f8_nnf,plain,
! [X20] : p3(f6(f5(X20)),f6(X20)),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X20] : p3(f6(f5(X20)),f6(X20)),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
p3(f6(f5(X0)),f6(X0)),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p37,plain,
( ~ p3(f6(f5(X0)),X1)
| p3(f6(X0),X1) ),
inference(resolution,[status(thm)],[c16,c8]) ).
cnf(f17,negated_conjecture,
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
fof(f17_nnf,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(f6,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f6_nnf,plain,
p2(c16,f5(c14)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p2(c16,f5(c14)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p49,plain,
( ~ p2(c16,X0)
| p2(f5(c14),X0) ),
inference(resolution,[status(thm)],[c17,c6]) ).
cnf(f3,negated_conjecture,
p2(X7,X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
! [X7] : p2(X7,X7),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X7] : p2(X7,X7),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p56,plain,
p2(f5(c14),c16),
inference(resolution,[status(thm)],[p49,c3]) ).
cnf(f12,negated_conjecture,
( ~ p2(X18,X19)
| p3(f6(X18),f6(X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
fof(f12_nnf,plain,
! [X18,X19] :
( ~ p2(X18,X19)
| p3(f6(X18),f6(X19)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X18,X19] :
( ~ p2(X18,X19)
| p3(f6(X18),f6(X19)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p2(X0,X1)
| p3(f6(X0),f6(X1)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p58,plain,
p3(f6(f5(c14)),f6(c16)),
inference(resolution,[status(thm)],[p56,c12]) ).
cnf(p118,plain,
p3(f6(c14),f6(c16)),
inference(resolution,[status(thm)],[p37,p58]) ).
cnf(p120,plain,
( ~ p3(f6(c14),X0)
| p3(f6(c16),X0) ),
inference(resolution,[status(thm)],[p118,c16]) ).
cnf(f2,negated_conjecture,
p3(X12,X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f2_nnf,plain,
! [X12] : p3(X12,X12),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X12] : p3(X12,X12),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p138,plain,
p3(f6(c16),f6(c14)),
inference(resolution,[status(thm)],[p120,c2]) ).
cnf(p283,plain,
p9(c12,f6(c14)),
inference(resolution,[status(thm)],[p274,p138]) ).
cnf(p2660,plain,
~ p9(f8(f6(c14),c14),f6(c14)),
inference(resolution,[status(thm)],[p1307,p283]) ).
cnf(f21,negated_conjecture,
( ~ p9(c12,X33)
| ~ p11(X34,c15)
| p9(f8(X33,X34),f6(X34))
| p9(f8(X33,X34),X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).
fof(f21_nnf,plain,
! [X33,X34] :
( ~ p9(c12,X33)
| ~ p11(X34,c15)
| p9(f8(X33,X34),f6(X34))
| p9(f8(X33,X34),X33) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X33,X34] :
( ~ p9(c12,X33)
| ~ p11(X34,c15)
| p9(f8(X33,X34),f6(X34))
| p9(f8(X33,X34),X33) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p9(c12,X0)
| ~ p11(X1,c15)
| p9(f8(X0,X1),f6(X1))
| p9(f8(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p93,plain,
( ~ p9(c12,f6(X0))
| ~ p11(X0,c15)
| p9(f8(f6(X0),X0),f6(X0)) ),
inference(factoring,[status(thm)],[c21]) ).
cnf(p1226,plain,
( ~ p9(c12,f6(c14))
| p9(f8(f6(c14),c14),f6(c14)) ),
inference(resolution,[status(thm)],[p93,c5]) ).
cnf(p2596,plain,
p9(f8(f6(c14),c14),f6(c14)),
inference(resolution,[status(thm)],[p1226,p283]) ).
cnf(p2661,plain,
$false,
inference(resolution,[status(thm)],[p2660,p2596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 01:50:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.52/3.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.52/3.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------