%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 01:37:37 PM UTC 2026
% Result : Unsatisfiable 5.95s 1.61s
% Output : Proof 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 55
% Syntax : Number of formulae : 409 ( 6 unt; 0 def)
% Number of atoms : 1295 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1241 ( 355 ~; 886 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f58,negated_conjecture,
( c2
| c1
| ~ conjline19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19C) ).
fof(f58_nnf,plain,
( c2
| c1
| ~ conjline19 ),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
( c2
| c1
| ~ conjline19 ),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
( c2
| c1
| ~ conjline19 ),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(f60,negated_conjecture,
( conjline19
| conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f60_nnf,plain,
( conjline19
| conjline18 ),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
( conjline19
| conjline18 ),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
( conjline19
| conjline18 ),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(p70,plain,
( conjline18
| c2
| c1 ),
inference(resolution,[status(thm)],[c58,c60]) ).
cnf(f54,negated_conjecture,
( s2
| s1
| ~ conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18C) ).
fof(f54_nnf,plain,
( s2
| s1
| ~ conjline18 ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
( s2
| s1
| ~ conjline18 ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c54,plain,
( s2
| s1
| ~ conjline18 ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
cnf(p75,plain,
( s2
| s1
| c2
| c1 ),
inference(resolution,[status(thm)],[p70,c54]) ).
cnf(f51,negated_conjecture,
( a26
| a22
| ~ c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17C) ).
fof(f51_nnf,plain,
( a26
| a22
| ~ c2 ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
( a26
| a22
| ~ c2 ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c51,plain,
( a26
| a22
| ~ c2 ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p84,plain,
( a26
| a22
| s2
| s1
| c1 ),
inference(resolution,[status(thm)],[p75,c51]) ).
cnf(f47,negated_conjecture,
( a21
| cI
| ~ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16C) ).
fof(f47_nnf,plain,
( a21
| cI
| ~ s2 ),
inference(nnf_transformation,[status(thm)],[f47]) ).
fof(f47_sk,plain,
( a21
| cI
| ~ s2 ),
inference(skolemisation,[status(esa)],[f47_nnf]) ).
cnf(c47,plain,
( a21
| cI
| ~ s2 ),
inference(cnf_transformation,[status(esa)],[f47_sk]) ).
cnf(p91,plain,
( a21
| cI
| a26
| a22
| s1
| c1 ),
inference(resolution,[status(thm)],[p84,c47]) ).
cnf(f43,negated_conjecture,
( a25
| ~ a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15B) ).
fof(f43_nnf,plain,
( a25
| ~ a26 ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
( a25
| ~ a26 ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( a25
| ~ a26 ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p102,plain,
( a25
| a21
| cI
| a22
| s1
| c1 ),
inference(resolution,[status(thm)],[p91,c43]) ).
cnf(f39,negated_conjecture,
( a
| ~ a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14A) ).
fof(f39_nnf,plain,
( a
| ~ a25 ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
( a
| ~ a25 ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( a
| ~ a25 ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p113,plain,
( a
| a21
| cI
| a22
| s1
| c1 ),
inference(resolution,[status(thm)],[p102,c39]) ).
cnf(f31,negated_conjecture,
( cI
| ~ a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11A) ).
fof(f31_nnf,plain,
( cI
| ~ a22 ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
( cI
| ~ a22 ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( cI
| ~ a22 ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p126,plain,
( cI
| a
| a21
| cI
| s1
| c1 ),
inference(resolution,[status(thm)],[p113,c31]) ).
cnf(p145,plain,
( a
| a21
| cI
| s1
| c1 ),
inference(factoring,[status(thm)],[p126]) ).
cnf(f29,negated_conjecture,
( b
| a
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10C) ).
fof(f29_nnf,plain,
( b
| a
| ~ a21 ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
( b
| a
| ~ a21 ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( b
| a
| ~ a21 ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p147,plain,
( b
| a
| a
| cI
| s1
| c1 ),
inference(resolution,[status(thm)],[p145,c29]) ).
cnf(p163,plain,
( b
| a
| cI
| s1
| c1 ),
inference(factoring,[status(thm)],[p147]) ).
cnf(f26,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9C) ).
fof(f26_nnf,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p179,plain,
( ~ a11
| ~ a15
| b
| a
| cI
| s1 ),
inference(resolution,[status(thm)],[p163,c26]) ).
cnf(f12,negated_conjecture,
( a14
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5A) ).
fof(f12_nnf,plain,
( a14
| a15 ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( a14
| a15 ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( a14
| a15 ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p184,plain,
( a14
| ~ a11
| b
| a
| cI
| s1 ),
inference(resolution,[status(thm)],[p179,c12]) ).
cnf(f41,negated_conjecture,
( ~ b
| ~ a
| a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14C) ).
fof(f41_nnf,plain,
( ~ b
| ~ a
| a25 ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
( ~ b
| ~ a
| a25 ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( ~ b
| ~ a
| a25 ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(f0,negated_conjecture,
( a
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1A) ).
fof(f0_nnf,plain,
( a
| a11 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( a
| a11 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( a
| a11 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p63,plain,
( a11
| ~ b
| a25 ),
inference(resolution,[status(thm)],[c41,c0]) ).
cnf(f1,negated_conjecture,
( b
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1B) ).
fof(f1_nnf,plain,
( b
| a11 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( b
| a11 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( b
| a11 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p73,plain,
( a11
| a11
| a25 ),
inference(resolution,[status(thm)],[p63,c1]) ).
cnf(p80,plain,
( a11
| a25 ),
inference(factoring,[status(thm)],[p73]) ).
cnf(f44,negated_conjecture,
( ~ a25
| ~ a24
| a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15C) ).
fof(f44_nnf,plain,
( ~ a25
| ~ a24
| a26 ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
( ~ a25
| ~ a24
| a26 ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( ~ a25
| ~ a24
| a26 ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(f37,negated_conjecture,
( cI
| a24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13A) ).
fof(f37_nnf,plain,
( cI
| a24 ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
( cI
| a24 ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( cI
| a24 ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p64,plain,
( cI
| ~ a25
| a26 ),
inference(resolution,[status(thm)],[c44,c37]) ).
cnf(p81,plain,
( cI
| a26
| a11 ),
inference(resolution,[status(thm)],[p80,p64]) ).
cnf(f50,negated_conjecture,
( ~ a26
| c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17B) ).
fof(f50_nnf,plain,
( ~ a26
| c2 ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
( ~ a26
| c2 ),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
( ~ a26
| c2 ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p86,plain,
( c2
| cI
| a11 ),
inference(resolution,[status(thm)],[p81,c50]) ).
cnf(f59,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19D) ).
fof(f59_nnf,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(nnf_transformation,[status(thm)],[f59]) ).
fof(f59_sk,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(skolemisation,[status(esa)],[f59_nnf]) ).
cnf(c59,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(cnf_transformation,[status(esa)],[f59_sk]) ).
cnf(p71,plain,
( conjline18
| ~ c2
| ~ c1 ),
inference(resolution,[status(thm)],[c59,c60]) ).
cnf(f25,negated_conjecture,
( a11
| c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9B) ).
fof(f25_nnf,plain,
( a11
| c1 ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( a11
| c1 ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( a11
| c1 ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p77,plain,
( a11
| conjline18
| ~ c2 ),
inference(resolution,[status(thm)],[p71,c25]) ).
cnf(p87,plain,
( a11
| conjline18
| cI
| a11 ),
inference(resolution,[status(thm)],[p86,p77]) ).
cnf(p96,plain,
( conjline18
| cI
| a11 ),
inference(factoring,[status(thm)],[p87]) ).
cnf(p97,plain,
( s2
| s1
| cI
| a11 ),
inference(resolution,[status(thm)],[p96,c54]) ).
cnf(p101,plain,
( a21
| cI
| s1
| cI
| a11 ),
inference(resolution,[status(thm)],[p97,c47]) ).
cnf(p106,plain,
( a21
| s1
| cI
| a11 ),
inference(factoring,[status(thm)],[p101]) ).
cnf(f30,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10D) ).
fof(f30_nnf,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p107,plain,
( ~ b
| ~ a
| s1
| cI
| a11 ),
inference(resolution,[status(thm)],[p106,c30]) ).
cnf(p110,plain,
( a11
| ~ b
| s1
| cI
| a11 ),
inference(resolution,[status(thm)],[p107,c0]) ).
cnf(p111,plain,
( ~ b
| s1
| cI
| a11 ),
inference(factoring,[status(thm)],[p110]) ).
cnf(p112,plain,
( a11
| s1
| cI
| a11 ),
inference(resolution,[status(thm)],[p111,c1]) ).
cnf(p115,plain,
( s1
| cI
| a11 ),
inference(factoring,[status(thm)],[p112]) ).
cnf(f23,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8C) ).
fof(f23_nnf,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p116,plain,
( ~ a17
| ~ a16
| cI
| a11 ),
inference(resolution,[status(thm)],[p115,c23]) ).
cnf(f15,negated_conjecture,
( a14
| a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6A) ).
fof(f15_nnf,plain,
( a14
| a16 ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( a14
| a16 ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( a14
| a16 ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p118,plain,
( a14
| ~ a17
| cI
| a11 ),
inference(resolution,[status(thm)],[p116,c15]) ).
cnf(f19,negated_conjecture,
( cI
| a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7B) ).
fof(f19_nnf,plain,
( cI
| a17 ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( cI
| a17 ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( cI
| a17 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p119,plain,
( cI
| a14
| cI
| a11 ),
inference(resolution,[status(thm)],[p118,c19]) ).
cnf(p121,plain,
( a14
| cI
| a11 ),
inference(factoring,[status(thm)],[p119]) ).
cnf(f33,negated_conjecture,
( ~ a23
| ~ cI
| a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11C) ).
fof(f33_nnf,plain,
( ~ a23
| ~ cI
| a22 ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
( ~ a23
| ~ cI
| a22 ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( ~ a23
| ~ cI
| a22 ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p122,plain,
( ~ a23
| a22
| a14
| a11 ),
inference(resolution,[status(thm)],[p121,c33]) ).
cnf(f34,negated_conjecture,
( ~ a
| a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12A) ).
fof(f34_nnf,plain,
( ~ a
| a23 ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
( ~ a
| a23 ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ a
| a23 ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p61,plain,
( a11
| a23 ),
inference(resolution,[status(thm)],[c34,c0]) ).
cnf(p124,plain,
( a11
| a22
| a14
| a11 ),
inference(resolution,[status(thm)],[p122,p61]) ).
cnf(p129,plain,
( a22
| a14
| a11 ),
inference(factoring,[status(thm)],[p124]) ).
cnf(f49,negated_conjecture,
( ~ a22
| c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17A) ).
fof(f49_nnf,plain,
( ~ a22
| c2 ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
( ~ a22
| c2 ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( ~ a22
| c2 ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(p130,plain,
( c2
| a14
| a11 ),
inference(resolution,[status(thm)],[p129,c49]) ).
cnf(p131,plain,
( a11
| conjline18
| a14
| a11 ),
inference(resolution,[status(thm)],[p130,p77]) ).
cnf(p132,plain,
( conjline18
| a14
| a11 ),
inference(factoring,[status(thm)],[p131]) ).
cnf(f55,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18D) ).
fof(f55_nnf,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(nnf_transformation,[status(thm)],[f55]) ).
fof(f55_sk,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p137,plain,
( ~ s2
| ~ s1
| a14
| a11 ),
inference(resolution,[status(thm)],[p132,c55]) ).
cnf(f22,negated_conjecture,
( a17
| s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8B) ).
fof(f22_nnf,plain,
( a17
| s1 ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
( a17
| s1 ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( a17
| s1 ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p139,plain,
( a17
| ~ s2
| a14
| a11 ),
inference(resolution,[status(thm)],[p137,c22]) ).
cnf(f46,negated_conjecture,
( a21
| ~ cI
| s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16B) ).
fof(f46_nnf,plain,
( a21
| ~ cI
| s2 ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
( a21
| ~ cI
| s2 ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( a21
| ~ cI
| s2 ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(p123,plain,
( a21
| s2
| a14
| a11 ),
inference(resolution,[status(thm)],[p121,c46]) ).
cnf(p140,plain,
( a21
| a14
| a11
| a17
| a14
| a11 ),
inference(resolution,[status(thm)],[p139,p123]) ).
cnf(p152,plain,
( a21
| a14
| a17
| a14
| a11 ),
inference(factoring,[status(thm)],[p140]) ).
cnf(p156,plain,
( a21
| a17
| a14
| a11 ),
inference(factoring,[status(thm)],[p152]) ).
cnf(p157,plain,
( ~ b
| ~ a
| a17
| a14
| a11 ),
inference(resolution,[status(thm)],[p156,c30]) ).
cnf(p159,plain,
( a11
| ~ b
| a17
| a14
| a11 ),
inference(resolution,[status(thm)],[p157,c0]) ).
cnf(p160,plain,
( ~ b
| a17
| a14
| a11 ),
inference(factoring,[status(thm)],[p159]) ).
cnf(p161,plain,
( a11
| a17
| a14
| a11 ),
inference(resolution,[status(thm)],[p160,c1]) ).
cnf(p162,plain,
( a17
| a14
| a11 ),
inference(factoring,[status(thm)],[p161]) ).
cnf(f20,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7C) ).
fof(f20_nnf,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p164,plain,
( ~ cI
| ~ a15
| a14
| a11 ),
inference(resolution,[status(thm)],[p162,c20]) ).
cnf(p165,plain,
( a14
| ~ cI
| a14
| a11 ),
inference(resolution,[status(thm)],[p164,c12]) ).
cnf(p166,plain,
( ~ cI
| a14
| a11 ),
inference(factoring,[status(thm)],[p165]) ).
cnf(p167,plain,
( a14
| a11
| a14
| a11 ),
inference(resolution,[status(thm)],[p166,p121]) ).
cnf(p169,plain,
( a14
| a14
| a11 ),
inference(factoring,[status(thm)],[p167]) ).
cnf(p171,plain,
( a14
| a11 ),
inference(factoring,[status(thm)],[p169]) ).
cnf(f11,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4C) ).
fof(f11_nnf,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p172,plain,
( ~ a13
| ~ a12
| a11 ),
inference(resolution,[status(thm)],[p171,c11]) ).
cnf(f4,negated_conjecture,
( a11
| a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2B) ).
fof(f4_nnf,plain,
( a11
| a12 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( a11
| a12 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( a11
| a12 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p173,plain,
( a11
| ~ a13
| a11 ),
inference(resolution,[status(thm)],[p172,c4]) ).
cnf(p175,plain,
( ~ a13
| a11 ),
inference(factoring,[status(thm)],[p173]) ).
cnf(f7,negated_conjecture,
( a11
| a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3B) ).
fof(f7_nnf,plain,
( a11
| a13 ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( a11
| a13 ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( a11
| a13 ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p176,plain,
( a11
| a11 ),
inference(resolution,[status(thm)],[p175,c7]) ).
cnf(p177,plain,
a11,
inference(factoring,[status(thm)],[p176]) ).
cnf(p187,plain,
( a14
| b
| a
| cI
| s1 ),
inference(resolution,[status(thm)],[p184,p177]) ).
cnf(p188,plain,
( ~ a17
| ~ a16
| a14
| b
| a
| cI ),
inference(resolution,[status(thm)],[p187,c23]) ).
cnf(p191,plain,
( a14
| ~ a17
| a14
| b
| a
| cI ),
inference(resolution,[status(thm)],[p188,c15]) ).
cnf(p192,plain,
( ~ a17
| a14
| b
| a
| cI ),
inference(factoring,[status(thm)],[p191]) ).
cnf(p193,plain,
( cI
| a14
| b
| a
| cI ),
inference(resolution,[status(thm)],[p192,c19]) ).
cnf(p194,plain,
( a14
| b
| a
| cI ),
inference(factoring,[status(thm)],[p193]) ).
cnf(p195,plain,
( a21
| s2
| a14
| b
| a ),
inference(resolution,[status(thm)],[p194,c46]) ).
cnf(p76,plain,
( ~ s2
| ~ s1
| c2
| c1 ),
inference(resolution,[status(thm)],[p70,c55]) ).
cnf(p89,plain,
( a17
| ~ s2
| c2
| c1 ),
inference(resolution,[status(thm)],[p76,c22]) ).
cnf(p197,plain,
( a17
| c2
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p195,p89]) ).
cnf(p198,plain,
( a26
| a22
| a17
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p197,c51]) ).
cnf(p201,plain,
( a25
| a22
| a17
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p198,c43]) ).
cnf(p204,plain,
( a
| a22
| a17
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p201,c39]) ).
cnf(p206,plain,
( a22
| a17
| c1
| a21
| a14
| b
| a ),
inference(factoring,[status(thm)],[p204]) ).
cnf(f32,negated_conjecture,
( a23
| ~ a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11B) ).
fof(f32_nnf,plain,
( a23
| ~ a22 ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
( a23
| ~ a22 ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( a23
| ~ a22 ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p207,plain,
( a23
| a17
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p206,c32]) ).
cnf(f36,negated_conjecture,
( b
| a
| ~ a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12C) ).
fof(f36_nnf,plain,
( b
| a
| ~ a23 ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
( b
| a
| ~ a23 ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( b
| a
| ~ a23 ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p208,plain,
( b
| a
| a17
| c1
| a21
| a14
| b
| a ),
inference(resolution,[status(thm)],[p207,c36]) ).
cnf(p209,plain,
( b
| a17
| c1
| a21
| a14
| b
| a ),
inference(factoring,[status(thm)],[p208]) ).
cnf(p211,plain,
( a17
| c1
| a21
| a14
| b
| a ),
inference(factoring,[status(thm)],[p209]) ).
cnf(p212,plain,
( b
| a
| a17
| c1
| a14
| b
| a ),
inference(resolution,[status(thm)],[p211,c29]) ).
cnf(p213,plain,
( b
| a17
| c1
| a14
| b
| a ),
inference(factoring,[status(thm)],[p212]) ).
cnf(p215,plain,
( a17
| c1
| a14
| b
| a ),
inference(factoring,[status(thm)],[p213]) ).
cnf(p216,plain,
( ~ a11
| ~ a15
| a17
| a14
| b
| a ),
inference(resolution,[status(thm)],[p215,c26]) ).
cnf(p219,plain,
( a14
| ~ a11
| a17
| a14
| b
| a ),
inference(resolution,[status(thm)],[p216,c12]) ).
cnf(p220,plain,
( ~ a11
| a17
| a14
| b
| a ),
inference(factoring,[status(thm)],[p219]) ).
cnf(p221,plain,
( a17
| a14
| b
| a ),
inference(resolution,[status(thm)],[p220,p177]) ).
cnf(p222,plain,
( ~ cI
| ~ a15
| a14
| b
| a ),
inference(resolution,[status(thm)],[p221,c20]) ).
cnf(p223,plain,
( a14
| ~ cI
| a14
| b
| a ),
inference(resolution,[status(thm)],[p222,c12]) ).
cnf(p224,plain,
( ~ cI
| a14
| b
| a ),
inference(factoring,[status(thm)],[p223]) ).
cnf(p225,plain,
( a14
| b
| a
| a14
| b
| a ),
inference(resolution,[status(thm)],[p224,p194]) ).
cnf(p226,plain,
( a14
| b
| a14
| b
| a ),
inference(factoring,[status(thm)],[p225]) ).
cnf(p229,plain,
( a14
| a14
| b
| a ),
inference(factoring,[status(thm)],[p226]) ).
cnf(p231,plain,
( a14
| b
| a ),
inference(factoring,[status(thm)],[p229]) ).
cnf(p232,plain,
( ~ a13
| ~ a12
| b
| a ),
inference(resolution,[status(thm)],[p231,c11]) ).
cnf(f3,negated_conjecture,
( a
| a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2A) ).
fof(f3_nnf,plain,
( a
| a12 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( a
| a12 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( a
| a12 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p233,plain,
( a
| ~ a13
| b
| a ),
inference(resolution,[status(thm)],[p232,c3]) ).
cnf(p234,plain,
( ~ a13
| b
| a ),
inference(factoring,[status(thm)],[p233]) ).
cnf(f6,negated_conjecture,
( b
| a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3A) ).
fof(f6_nnf,plain,
( b
| a13 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( b
| a13 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( b
| a13 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p235,plain,
( b
| b
| a ),
inference(resolution,[status(thm)],[p234,c6]) ).
cnf(p236,plain,
( b
| a ),
inference(factoring,[status(thm)],[p235]) ).
cnf(f27,negated_conjecture,
( ~ b
| a
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10A) ).
fof(f27_nnf,plain,
( ~ b
| a
| a21 ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( ~ b
| a
| a21 ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ b
| a
| a21 ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p238,plain,
( a
| a21
| a ),
inference(resolution,[status(thm)],[p236,c27]) ).
cnf(p240,plain,
( a21
| a ),
inference(factoring,[status(thm)],[p238]) ).
cnf(f45,negated_conjecture,
( ~ a21
| cI
| s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16A) ).
fof(f45_nnf,plain,
( ~ a21
| cI
| s2 ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
( ~ a21
| cI
| s2 ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( ~ a21
| cI
| s2 ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(p241,plain,
( cI
| s2
| a ),
inference(resolution,[status(thm)],[p240,c45]) ).
cnf(f21,negated_conjecture,
( a16
| s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8A) ).
fof(f21_nnf,plain,
( a16
| s1 ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( a16
| s1 ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( a16
| s1 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p88,plain,
( a16
| ~ s2
| c2
| c1 ),
inference(resolution,[status(thm)],[p76,c21]) ).
cnf(p244,plain,
( a16
| c2
| c1
| cI
| a ),
inference(resolution,[status(thm)],[p241,p88]) ).
cnf(p249,plain,
( a26
| a22
| a16
| c1
| cI
| a ),
inference(resolution,[status(thm)],[p244,c51]) ).
cnf(p254,plain,
( a25
| a22
| a16
| c1
| cI
| a ),
inference(resolution,[status(thm)],[p249,c43]) ).
cnf(p265,plain,
( a
| a22
| a16
| c1
| cI
| a ),
inference(resolution,[status(thm)],[p254,c39]) ).
cnf(p267,plain,
( a22
| a16
| c1
| cI
| a ),
inference(factoring,[status(thm)],[p265]) ).
cnf(p268,plain,
( cI
| a16
| c1
| cI
| a ),
inference(resolution,[status(thm)],[p267,c31]) ).
cnf(p269,plain,
( a16
| c1
| cI
| a ),
inference(factoring,[status(thm)],[p268]) ).
cnf(p270,plain,
( ~ a11
| ~ a15
| a16
| cI
| a ),
inference(resolution,[status(thm)],[p269,c26]) ).
cnf(f35,negated_conjecture,
( ~ b
| a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12B) ).
fof(f35_nnf,plain,
( ~ b
| a23 ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
( ~ b
| a23 ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ~ b
| a23 ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p237,plain,
( a23
| a ),
inference(resolution,[status(thm)],[p236,c35]) ).
cnf(f13,negated_conjecture,
( cI
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5B) ).
fof(f13_nnf,plain,
( cI
| a15 ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( cI
| a15 ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( cI
| a15 ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p62,plain,
( a15
| ~ a23
| a22 ),
inference(resolution,[status(thm)],[c33,c13]) ).
cnf(p239,plain,
( a15
| a22
| a ),
inference(resolution,[status(thm)],[p237,p62]) ).
cnf(p242,plain,
( c2
| a15
| a ),
inference(resolution,[status(thm)],[p239,c49]) ).
cnf(f24,negated_conjecture,
( a15
| c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9A) ).
fof(f24_nnf,plain,
( a15
| c1 ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
( a15
| c1 ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( a15
| c1 ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p78,plain,
( a15
| conjline18
| ~ c2 ),
inference(resolution,[status(thm)],[p71,c24]) ).
cnf(p245,plain,
( a15
| conjline18
| a15
| a ),
inference(resolution,[status(thm)],[p242,p78]) ).
cnf(p246,plain,
( conjline18
| a15
| a ),
inference(factoring,[status(thm)],[p245]) ).
cnf(p247,plain,
( s2
| s1
| a15
| a ),
inference(resolution,[status(thm)],[p246,c54]) ).
cnf(f48,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16D) ).
fof(f48_nnf,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(p251,plain,
( ~ a21
| ~ cI
| s1
| a15
| a ),
inference(resolution,[status(thm)],[p247,c48]) ).
cnf(p252,plain,
( a15
| ~ a21
| s1
| a15
| a ),
inference(resolution,[status(thm)],[p251,c13]) ).
cnf(p253,plain,
( ~ a21
| s1
| a15
| a ),
inference(factoring,[status(thm)],[p252]) ).
cnf(p255,plain,
( a
| s1
| a15
| a ),
inference(resolution,[status(thm)],[p253,p240]) ).
cnf(p256,plain,
( s1
| a15
| a ),
inference(factoring,[status(thm)],[p255]) ).
cnf(p257,plain,
( ~ a17
| ~ a16
| a15
| a ),
inference(resolution,[status(thm)],[p256,c23]) ).
cnf(f16,negated_conjecture,
( a15
| a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6B) ).
fof(f16_nnf,plain,
( a15
| a16 ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( a15
| a16 ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( a15
| a16 ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p259,plain,
( a15
| ~ a17
| a15
| a ),
inference(resolution,[status(thm)],[p257,c16]) ).
cnf(p261,plain,
( ~ a17
| a15
| a ),
inference(factoring,[status(thm)],[p259]) ).
cnf(f18,negated_conjecture,
( a15
| a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7A) ).
fof(f18_nnf,plain,
( a15
| a17 ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( a15
| a17 ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( a15
| a17 ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p262,plain,
( a15
| a15
| a ),
inference(resolution,[status(thm)],[p261,c18]) ).
cnf(p263,plain,
( a15
| a ),
inference(factoring,[status(thm)],[p262]) ).
cnf(p273,plain,
( a
| ~ a11
| a16
| cI
| a ),
inference(resolution,[status(thm)],[p270,p263]) ).
cnf(p274,plain,
( ~ a11
| a16
| cI
| a ),
inference(factoring,[status(thm)],[p273]) ).
cnf(p275,plain,
( a16
| cI
| a ),
inference(resolution,[status(thm)],[p274,p177]) ).
cnf(f17,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6C) ).
fof(f17_nnf,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p276,plain,
( ~ a15
| ~ a14
| cI
| a ),
inference(resolution,[status(thm)],[p275,c17]) ).
cnf(f10,negated_conjecture,
( a13
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4B) ).
fof(f10_nnf,plain,
( a13
| a14 ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( a13
| a14 ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( a13
| a14 ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p277,plain,
( a13
| ~ a15
| cI
| a ),
inference(resolution,[status(thm)],[p276,c10]) ).
cnf(p278,plain,
( a
| a13
| cI
| a ),
inference(resolution,[status(thm)],[p277,p263]) ).
cnf(p279,plain,
( a13
| cI
| a ),
inference(factoring,[status(thm)],[p278]) ).
cnf(f14,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5C) ).
fof(f14_nnf,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p264,plain,
( ~ cI
| ~ a14
| a ),
inference(resolution,[status(thm)],[p263,c14]) ).
cnf(p266,plain,
( a13
| ~ cI
| a ),
inference(resolution,[status(thm)],[p264,c10]) ).
cnf(p282,plain,
( a13
| a
| a13
| a ),
inference(resolution,[status(thm)],[p279,p266]) ).
cnf(p284,plain,
( a13
| a13
| a ),
inference(factoring,[status(thm)],[p282]) ).
cnf(p286,plain,
( a13
| a ),
inference(factoring,[status(thm)],[p284]) ).
cnf(f8,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3C) ).
fof(f8_nnf,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p287,plain,
( ~ a11
| ~ b
| a ),
inference(resolution,[status(thm)],[p286,c8]) ).
cnf(p288,plain,
( a
| ~ a11
| a ),
inference(resolution,[status(thm)],[p287,p236]) ).
cnf(p289,plain,
( ~ a11
| a ),
inference(factoring,[status(thm)],[p288]) ).
cnf(p290,plain,
a,
inference(resolution,[status(thm)],[p289,p177]) ).
cnf(f28,negated_conjecture,
( b
| ~ a
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10B) ).
fof(f28_nnf,plain,
( b
| ~ a
| a21 ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
( b
| ~ a
| a21 ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( b
| ~ a
| a21 ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p292,plain,
( b
| a21 ),
inference(resolution,[status(thm)],[p290,c28]) ).
cnf(p295,plain,
( cI
| s2
| b ),
inference(resolution,[status(thm)],[p292,c45]) ).
cnf(p299,plain,
( a16
| c2
| c1
| cI
| b ),
inference(resolution,[status(thm)],[p295,p88]) ).
cnf(p306,plain,
( a26
| a22
| a16
| c1
| cI
| b ),
inference(resolution,[status(thm)],[p299,c51]) ).
cnf(p313,plain,
( a25
| a22
| a16
| c1
| cI
| b ),
inference(resolution,[status(thm)],[p306,c43]) ).
cnf(f40,negated_conjecture,
( b
| ~ a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14B) ).
fof(f40_nnf,plain,
( b
| ~ a25 ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
( b
| ~ a25 ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( b
| ~ a25 ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(p320,plain,
( b
| a22
| a16
| c1
| cI
| b ),
inference(resolution,[status(thm)],[p313,c40]) ).
cnf(p321,plain,
( a22
| a16
| c1
| cI
| b ),
inference(factoring,[status(thm)],[p320]) ).
cnf(p322,plain,
( cI
| a16
| c1
| cI
| b ),
inference(resolution,[status(thm)],[p321,c31]) ).
cnf(p323,plain,
( a16
| c1
| cI
| b ),
inference(factoring,[status(thm)],[p322]) ).
cnf(p324,plain,
( ~ a11
| ~ a15
| a16
| cI
| b ),
inference(resolution,[status(thm)],[p323,c26]) ).
cnf(p291,plain,
a23,
inference(resolution,[status(thm)],[p290,c34]) ).
cnf(p294,plain,
( a15
| a22 ),
inference(resolution,[status(thm)],[p291,p62]) ).
cnf(p296,plain,
( c2
| a15 ),
inference(resolution,[status(thm)],[p294,c49]) ).
cnf(p297,plain,
( a15
| conjline18
| a15 ),
inference(resolution,[status(thm)],[p296,p78]) ).
cnf(p300,plain,
( conjline18
| a15 ),
inference(factoring,[status(thm)],[p297]) ).
cnf(p301,plain,
( s2
| s1
| a15 ),
inference(resolution,[status(thm)],[p300,c54]) ).
cnf(p303,plain,
( ~ a21
| ~ cI
| s1
| a15 ),
inference(resolution,[status(thm)],[p301,c48]) ).
cnf(p304,plain,
( a15
| ~ a21
| s1
| a15 ),
inference(resolution,[status(thm)],[p303,c13]) ).
cnf(p305,plain,
( ~ a21
| s1
| a15 ),
inference(factoring,[status(thm)],[p304]) ).
cnf(p308,plain,
( b
| s1
| a15 ),
inference(resolution,[status(thm)],[p305,p292]) ).
cnf(p309,plain,
( ~ a17
| ~ a16
| b
| a15 ),
inference(resolution,[status(thm)],[p308,c23]) ).
cnf(p311,plain,
( a15
| ~ a17
| b
| a15 ),
inference(resolution,[status(thm)],[p309,c16]) ).
cnf(p314,plain,
( ~ a17
| b
| a15 ),
inference(factoring,[status(thm)],[p311]) ).
cnf(p315,plain,
( a15
| b
| a15 ),
inference(resolution,[status(thm)],[p314,c18]) ).
cnf(p316,plain,
( b
| a15 ),
inference(factoring,[status(thm)],[p315]) ).
cnf(p327,plain,
( b
| ~ a11
| a16
| cI
| b ),
inference(resolution,[status(thm)],[p324,p316]) ).
cnf(p328,plain,
( ~ a11
| a16
| cI
| b ),
inference(factoring,[status(thm)],[p327]) ).
cnf(p329,plain,
( a16
| cI
| b ),
inference(resolution,[status(thm)],[p328,p177]) ).
cnf(p330,plain,
( ~ a15
| ~ a14
| cI
| b ),
inference(resolution,[status(thm)],[p329,c17]) ).
cnf(f9,negated_conjecture,
( a12
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4A) ).
fof(f9_nnf,plain,
( a12
| a14 ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( a12
| a14 ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( a12
| a14 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p331,plain,
( a12
| ~ a15
| cI
| b ),
inference(resolution,[status(thm)],[p330,c9]) ).
cnf(p332,plain,
( b
| a12
| cI
| b ),
inference(resolution,[status(thm)],[p331,p316]) ).
cnf(p333,plain,
( a12
| cI
| b ),
inference(factoring,[status(thm)],[p332]) ).
cnf(p318,plain,
( ~ cI
| ~ a14
| b ),
inference(resolution,[status(thm)],[p316,c14]) ).
cnf(p319,plain,
( a12
| ~ cI
| b ),
inference(resolution,[status(thm)],[p318,c9]) ).
cnf(p336,plain,
( a12
| b
| a12
| b ),
inference(resolution,[status(thm)],[p333,p319]) ).
cnf(p340,plain,
( a12
| a12
| b ),
inference(factoring,[status(thm)],[p336]) ).
cnf(p342,plain,
( a12
| b ),
inference(factoring,[status(thm)],[p340]) ).
cnf(f5,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2C) ).
fof(f5_nnf,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p343,plain,
( ~ a11
| ~ a
| b ),
inference(resolution,[status(thm)],[p342,c5]) ).
cnf(p344,plain,
( ~ a11
| b ),
inference(resolution,[status(thm)],[p343,p290]) ).
cnf(p345,plain,
b,
inference(resolution,[status(thm)],[p344,p177]) ).
cnf(f2,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1C) ).
fof(f2_nnf,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p178,plain,
( ~ b
| ~ a ),
inference(resolution,[status(thm)],[p177,c2]) ).
cnf(p293,plain,
~ b,
inference(resolution,[status(thm)],[p290,p178]) ).
cnf(p346,plain,
$false,
inference(resolution,[status(thm)],[p345,p293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 16:22:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.95/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.95/1.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------