%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:33:31 PM UTC 2026
% Result : Unsatisfiable 4.05s 1.08s
% Output : Proof 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 30
% Syntax : Number of formulae : 219 ( 7 unt; 0 def)
% Number of atoms : 606 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 574 ( 187 ~; 387 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 102 ( 46 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f25,negated_conjecture,
( n1(X)
| p(s1(X))
| p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f25_nnf,plain,
! [X] :
( n1(X)
| p(s1(X))
| p(X) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( n1(X)
| p(s1(X))
| p(X) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( n1(X0)
| p(s1(X0))
| p(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(f10,negated_conjecture,
( n7
| ~ p(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f10_nnf,plain,
! [X7] :
( n7
| ~ p(X7) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X7] :
( n7
| ~ p(X7) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( n7
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p50,plain,
( n7
| n1(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c25,c10]) ).
cnf(f22,negated_conjecture,
( n2
| ~ n1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f22_nnf,plain,
! [X2] :
( n2
| ~ n1(X2) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X2] :
( n2
| ~ n1(X2) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( n2
| ~ n1(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p52,plain,
( n2
| n7
| p(X0) ),
inference(resolution,[status(thm)],[p50,c22]) ).
cnf(p54,plain,
( n7
| n2
| n7 ),
inference(resolution,[status(thm)],[p52,c10]) ).
cnf(p57,plain,
( n2
| n7 ),
inference(factoring,[status(thm)],[p54]) ).
cnf(f34,negated_conjecture,
( ~ n10
| n8
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
fof(f34_nnf,plain,
( ~ n10
| n8
| ~ n7 ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
( ~ n10
| n8
| ~ n7 ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ n10
| n8
| ~ n7 ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p60,plain,
( ~ n10
| n8
| n2 ),
inference(resolution,[status(thm)],[p57,c34]) ).
cnf(f3,negated_conjecture,
( n10
| n6
| n9
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
( n10
| n6
| n9
| n2 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( n10
| n6
| n9
| n2 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( n10
| n6
| n9
| n2 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p62,plain,
( n6
| n9
| n2
| n8
| n2 ),
inference(resolution,[status(thm)],[p60,c3]) ).
cnf(p63,plain,
( n6
| n9
| n8
| n2 ),
inference(factoring,[status(thm)],[p62]) ).
cnf(f9,negated_conjecture,
( p(X8)
| ~ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
! [X8] :
( p(X8)
| ~ n8 ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X8] :
( p(X8)
| ~ n8 ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( p(X0)
| ~ n8 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p64,plain,
( p(X0)
| n6
| n9
| n2 ),
inference(resolution,[status(thm)],[p63,c9]) ).
cnf(f11,negated_conjecture,
( p(s7)
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f11_nnf,plain,
( p(s7)
| ~ n7 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( p(s7)
| ~ n7 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( p(s7)
| ~ n7 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p58,plain,
( p(s7)
| n2 ),
inference(resolution,[status(thm)],[p57,c11]) ).
cnf(f24,negated_conjecture,
( n1(X)
| ~ p(s1(X))
| ~ p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f24_nnf,plain,
! [X] :
( n1(X)
| ~ p(s1(X))
| ~ p(X) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( n1(X)
| ~ p(s1(X))
| ~ p(X) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( n1(X0)
| ~ p(s1(X0))
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p61,plain,
( n1(s7)
| ~ p(s1(s7))
| n2 ),
inference(resolution,[status(thm)],[p58,c24]) ).
cnf(p66,plain,
( n1(s7)
| n2
| n6
| n9
| n2 ),
inference(resolution,[status(thm)],[p64,p61]) ).
cnf(p67,plain,
( n1(s7)
| n6
| n9
| n2 ),
inference(factoring,[status(thm)],[p66]) ).
cnf(p68,plain,
( n2
| n6
| n9
| n2 ),
inference(resolution,[status(thm)],[p67,c22]) ).
cnf(p69,plain,
( n6
| n9
| n2 ),
inference(factoring,[status(thm)],[p68]) ).
cnf(f13,negated_conjecture,
( n5(s6)
| ~ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f13_nnf,plain,
( n5(s6)
| ~ n6 ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( n5(s6)
| ~ n6 ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( n5(s6)
| ~ n6 ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p70,plain,
( n5(s6)
| n9
| n2 ),
inference(resolution,[status(thm)],[p69,c13]) ).
cnf(f17,negated_conjecture,
( ~ q(X5)
| q(X)
| ~ n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f17_nnf,plain,
! [X,X5] :
( ~ q(X5)
| q(X)
| ~ n5(X) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X,X5] :
( ~ q(X5)
| q(X)
| ~ n5(X) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ q(X1)
| q(X0)
| ~ n5(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p73,plain,
( ~ q(X0)
| q(s6)
| n9
| n2 ),
inference(resolution,[status(thm)],[p70,c17]) ).
cnf(f29,negated_conjecture,
( n9
| n4
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f29_nnf,plain,
( n9
| n4
| n3 ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
( n9
| n4
| n3 ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( n9
| n4
| n3 ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f21,negated_conjecture,
( q(s3)
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f21_nnf,plain,
( q(s3)
| ~ n3 ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( q(s3)
| ~ n3 ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( q(s3)
| ~ n3 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p36,plain,
( q(s3)
| n9
| n4 ),
inference(resolution,[status(thm)],[c29,c21]) ).
cnf(p77,plain,
( n9
| n4
| q(s6)
| n9
| n2 ),
inference(resolution,[status(thm)],[p73,p36]) ).
cnf(p79,plain,
( n4
| q(s6)
| n9
| n2 ),
inference(factoring,[status(thm)],[p77]) ).
cnf(f16,negated_conjecture,
( q(X5)
| ~ q(X)
| ~ n5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f16_nnf,plain,
! [X,X5] :
( q(X5)
| ~ q(X)
| ~ n5(X) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,X5] :
( q(X5)
| ~ q(X)
| ~ n5(X) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( q(X1)
| ~ q(X0)
| ~ n5(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p72,plain,
( q(X0)
| ~ q(s6)
| n9
| n2 ),
inference(resolution,[status(thm)],[p70,c16]) ).
cnf(p80,plain,
( q(X0)
| n9
| n2
| n4
| n9
| n2 ),
inference(resolution,[status(thm)],[p79,p72]) ).
cnf(p83,plain,
( q(X0)
| n9
| n4
| n9
| n2 ),
inference(factoring,[status(thm)],[p80]) ).
cnf(p85,plain,
( q(X0)
| n4
| n9
| n2 ),
inference(factoring,[status(thm)],[p83]) ).
cnf(f18,negated_conjecture,
( n4
| ~ q(s4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f18_nnf,plain,
( n4
| ~ q(s4) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( n4
| ~ q(s4) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( n4
| ~ q(s4) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p86,plain,
( n4
| n4
| n9
| n2 ),
inference(resolution,[status(thm)],[p85,c18]) ).
cnf(p88,plain,
( n4
| n9
| n2 ),
inference(factoring,[status(thm)],[p86]) ).
cnf(f19,negated_conjecture,
( q(X4)
| ~ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f19_nnf,plain,
! [X4] :
( q(X4)
| ~ n4 ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X4] :
( q(X4)
| ~ n4 ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( q(X0)
| ~ n4 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p92,plain,
( q(X0)
| n9
| n2 ),
inference(resolution,[status(thm)],[p88,c19]) ).
cnf(f20,negated_conjecture,
( n3
| ~ q(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f20_nnf,plain,
! [X3] :
( n3
| ~ q(X3) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X3] :
( n3
| ~ q(X3) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( n3
| ~ q(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p93,plain,
( n3
| n9
| n2 ),
inference(resolution,[status(thm)],[p92,c20]) ).
cnf(f28,negated_conjecture,
( n9
| ~ n4
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f28_nnf,plain,
( n9
| ~ n4
| ~ n3 ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( n9
| ~ n4
| ~ n3 ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( n9
| ~ n4
| ~ n3 ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p95,plain,
( n9
| ~ n4
| n9
| n2 ),
inference(resolution,[status(thm)],[p93,c28]) ).
cnf(p96,plain,
( ~ n4
| n9
| n2 ),
inference(factoring,[status(thm)],[p95]) ).
cnf(p98,plain,
( n9
| n2
| n9
| n2 ),
inference(resolution,[status(thm)],[p96,p88]) ).
cnf(p99,plain,
( n9
| n9
| n2 ),
inference(factoring,[status(thm)],[p98]) ).
cnf(p101,plain,
( n9
| n2 ),
inference(factoring,[status(thm)],[p99]) ).
cnf(f15,negated_conjecture,
( n5(X)
| q(s5(X))
| q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f15_nnf,plain,
! [X] :
( n5(X)
| q(s5(X))
| q(X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] :
( n5(X)
| q(s5(X))
| q(X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( n5(X0)
| q(s5(X0))
| q(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p39,plain,
( n3
| n5(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c15,c20]) ).
cnf(p41,plain,
( n3
| n3
| n5(X0) ),
inference(resolution,[status(thm)],[p39,c20]) ).
cnf(p43,plain,
( n3
| n5(X0) ),
inference(factoring,[status(thm)],[p41]) ).
cnf(f12,negated_conjecture,
( n6
| ~ n5(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f12_nnf,plain,
! [X6] :
( n6
| ~ n5(X6) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X6] :
( n6
| ~ n5(X6) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( n6
| ~ n5(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p44,plain,
( n6
| n3 ),
inference(resolution,[status(thm)],[p43,c12]) ).
cnf(f30,negated_conjecture,
( ~ n9
| n4
| ~ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f30_nnf,plain,
( ~ n9
| n4
| ~ n3 ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
( ~ n9
| n4
| ~ n3 ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ n9
| n4
| ~ n3 ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p48,plain,
( ~ n9
| n4
| n6 ),
inference(resolution,[status(thm)],[p44,c30]) ).
cnf(p104,plain,
( n4
| n6
| n2 ),
inference(resolution,[status(thm)],[p101,p48]) ).
cnf(p106,plain,
( q(X0)
| n6
| n2 ),
inference(resolution,[status(thm)],[p104,c19]) ).
cnf(p46,plain,
( q(s3)
| n6 ),
inference(resolution,[status(thm)],[p44,c21]) ).
cnf(f14,negated_conjecture,
( n5(X)
| ~ q(s5(X))
| ~ q(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f14_nnf,plain,
! [X] :
( n5(X)
| ~ q(s5(X))
| ~ q(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X] :
( n5(X)
| ~ q(s5(X))
| ~ q(X) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( n5(X0)
| ~ q(s5(X0))
| ~ q(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p49,plain,
( n5(s3)
| ~ q(s5(s3))
| n6 ),
inference(resolution,[status(thm)],[p46,c14]) ).
cnf(p108,plain,
( n5(s3)
| n6
| n6
| n2 ),
inference(resolution,[status(thm)],[p106,p49]) ).
cnf(p111,plain,
( n5(s3)
| n6
| n2 ),
inference(factoring,[status(thm)],[p108]) ).
cnf(p112,plain,
( n6
| n6
| n2 ),
inference(resolution,[status(thm)],[p111,c12]) ).
cnf(p113,plain,
( n6
| n2 ),
inference(factoring,[status(thm)],[p112]) ).
cnf(f6,negated_conjecture,
( n10
| ~ n6
| ~ n9
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p102,plain,
( n10
| ~ n6
| n2
| n2 ),
inference(resolution,[status(thm)],[p101,c6]) ).
cnf(p105,plain,
( n10
| ~ n6
| n2 ),
inference(factoring,[status(thm)],[p102]) ).
cnf(p115,plain,
( n10
| n2
| n2 ),
inference(resolution,[status(thm)],[p113,p105]) ).
cnf(p118,plain,
( n10
| n2 ),
inference(factoring,[status(thm)],[p115]) ).
cnf(p119,plain,
( n8
| n2
| n2 ),
inference(resolution,[status(thm)],[p118,p60]) ).
cnf(p120,plain,
( n8
| n2 ),
inference(factoring,[status(thm)],[p119]) ).
cnf(p121,plain,
( p(X0)
| n2 ),
inference(resolution,[status(thm)],[p120,c9]) ).
cnf(p122,plain,
( n1(X0)
| ~ p(s1(X0))
| n2 ),
inference(resolution,[status(thm)],[p121,c24]) ).
cnf(p124,plain,
( n2
| n1(X0)
| n2 ),
inference(resolution,[status(thm)],[p122,p121]) ).
cnf(p128,plain,
( n1(X0)
| n2 ),
inference(factoring,[status(thm)],[p124]) ).
cnf(p129,plain,
( n2
| n2 ),
inference(resolution,[status(thm)],[p128,c22]) ).
cnf(p130,plain,
n2,
inference(factoring,[status(thm)],[p129]) ).
cnf(f23,negated_conjecture,
( n1(s2)
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f23_nnf,plain,
( n1(s2)
| ~ n2 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( n1(s2)
| ~ n2 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( n1(s2)
| ~ n2 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p133,plain,
n1(s2),
inference(resolution,[status(thm)],[p130,c23]) ).
cnf(f27,negated_conjecture,
( ~ p(X1)
| p(X)
| ~ n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
fof(f27_nnf,plain,
! [X,X1] :
( ~ p(X1)
| p(X)
| ~ n1(X) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X,X1] :
( ~ p(X1)
| p(X)
| ~ n1(X) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p(X1)
| p(X0)
| ~ n1(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p137,plain,
( ~ p(X0)
| p(s2) ),
inference(resolution,[status(thm)],[p133,c27]) ).
cnf(f33,negated_conjecture,
( n10
| n8
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f33_nnf,plain,
( n10
| n8
| n7 ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
( n10
| n8
| n7 ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( n10
| n8
| n7 ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p37,plain,
( p(s7)
| n10
| n8 ),
inference(resolution,[status(thm)],[c33,c11]) ).
cnf(p138,plain,
( n10
| n8
| p(s2) ),
inference(resolution,[status(thm)],[p137,p37]) ).
cnf(f26,negated_conjecture,
( p(X1)
| ~ p(X)
| ~ n1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f26_nnf,plain,
! [X,X1] :
( p(X1)
| ~ p(X)
| ~ n1(X) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X,X1] :
( p(X1)
| ~ p(X)
| ~ n1(X) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( p(X1)
| ~ p(X0)
| ~ n1(X0) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p136,plain,
( p(X0)
| ~ p(s2) ),
inference(resolution,[status(thm)],[p133,c26]) ).
cnf(p140,plain,
( p(X0)
| n10
| n8 ),
inference(resolution,[status(thm)],[p138,p136]) ).
cnf(f8,negated_conjecture,
( n8
| ~ p(s8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
( n8
| ~ p(s8) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( n8
| ~ p(s8) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( n8
| ~ p(s8) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p141,plain,
( n8
| n10
| n8 ),
inference(resolution,[status(thm)],[p140,c8]) ).
cnf(p143,plain,
( n10
| n8 ),
inference(factoring,[status(thm)],[p141]) ).
cnf(p144,plain,
( p(X0)
| n10 ),
inference(resolution,[status(thm)],[p143,c9]) ).
cnf(p145,plain,
( n7
| n10 ),
inference(resolution,[status(thm)],[p144,c10]) ).
cnf(f32,negated_conjecture,
( n10
| ~ n8
| ~ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f32_nnf,plain,
( n10
| ~ n8
| ~ n7 ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
( n10
| ~ n8
| ~ n7 ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( n10
| ~ n8
| ~ n7 ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p147,plain,
( n10
| ~ n8
| n10 ),
inference(resolution,[status(thm)],[p145,c32]) ).
cnf(p148,plain,
( ~ n8
| n10 ),
inference(factoring,[status(thm)],[p147]) ).
cnf(p150,plain,
( n10
| n10 ),
inference(resolution,[status(thm)],[p148,p143]) ).
cnf(p151,plain,
n10,
inference(factoring,[status(thm)],[p150]) ).
cnf(f5,negated_conjecture,
( ~ n10
| n6
| n9
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p135,plain,
( ~ n10
| n6
| n9 ),
inference(resolution,[status(thm)],[p130,c5]) ).
cnf(p152,plain,
( n6
| n9 ),
inference(resolution,[status(thm)],[p151,p135]) ).
cnf(p153,plain,
( n5(s6)
| n9 ),
inference(resolution,[status(thm)],[p152,c13]) ).
cnf(p155,plain,
( ~ q(X0)
| q(s6)
| n9 ),
inference(resolution,[status(thm)],[p153,c17]) ).
cnf(p156,plain,
( n9
| n4
| q(s6)
| n9 ),
inference(resolution,[status(thm)],[p155,p36]) ).
cnf(p158,plain,
( n4
| q(s6)
| n9 ),
inference(factoring,[status(thm)],[p156]) ).
cnf(p154,plain,
( q(X0)
| ~ q(s6)
| n9 ),
inference(resolution,[status(thm)],[p153,c16]) ).
cnf(p159,plain,
( q(X0)
| n9
| n4
| n9 ),
inference(resolution,[status(thm)],[p158,p154]) ).
cnf(p162,plain,
( q(X0)
| n4
| n9 ),
inference(factoring,[status(thm)],[p159]) ).
cnf(p163,plain,
( n4
| n4
| n9 ),
inference(resolution,[status(thm)],[p162,c18]) ).
cnf(p165,plain,
( n4
| n9 ),
inference(factoring,[status(thm)],[p163]) ).
cnf(p166,plain,
( q(X0)
| n9 ),
inference(resolution,[status(thm)],[p165,c19]) ).
cnf(p167,plain,
( n3
| n9 ),
inference(resolution,[status(thm)],[p166,c20]) ).
cnf(p169,plain,
( n9
| ~ n4
| n9 ),
inference(resolution,[status(thm)],[p167,c28]) ).
cnf(p170,plain,
( ~ n4
| n9 ),
inference(factoring,[status(thm)],[p169]) ).
cnf(p171,plain,
( n9
| n9 ),
inference(resolution,[status(thm)],[p170,p165]) ).
cnf(p172,plain,
n9,
inference(factoring,[status(thm)],[p171]) ).
cnf(p173,plain,
( n4
| n6 ),
inference(resolution,[status(thm)],[p172,p48]) ).
cnf(p175,plain,
( q(X0)
| n6 ),
inference(resolution,[status(thm)],[p173,c19]) ).
cnf(p176,plain,
( n5(X0)
| ~ q(s5(X0))
| n6 ),
inference(resolution,[status(thm)],[p175,c14]) ).
cnf(p177,plain,
( n6
| n5(X0)
| n6 ),
inference(resolution,[status(thm)],[p176,p175]) ).
cnf(p178,plain,
( n5(X0)
| n6 ),
inference(factoring,[status(thm)],[p177]) ).
cnf(p179,plain,
( n6
| n6 ),
inference(resolution,[status(thm)],[p178,c12]) ).
cnf(p180,plain,
n6,
inference(factoring,[status(thm)],[p179]) ).
cnf(f0,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p131,plain,
( ~ n10
| ~ n6
| ~ n9 ),
inference(resolution,[status(thm)],[p130,c0]) ).
cnf(p174,plain,
( ~ n10
| ~ n6 ),
inference(resolution,[status(thm)],[p172,p131]) ).
cnf(p182,plain,
~ n10,
inference(resolution,[status(thm)],[p180,p174]) ).
cnf(p183,plain,
$false,
inference(resolution,[status(thm)],[p182,p151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 23:53:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.05/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.05/1.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------