%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN037-2 : 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 03:33:32 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.10s
% Output : Proof 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 22
% Syntax : Number of formulae : 161 ( 6 unt; 0 def)
% Number of atoms : 531 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 559 ( 189 ~; 370 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 139 ( 73 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f14,negated_conjecture,
( q(cw)
| m3
| m2
| ~ q(Z3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f14_nnf,plain,
! [Z3] :
( q(cw)
| m3
| m2
| ~ q(Z3) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [Z3] :
( q(cw)
| m3
| m2
| ~ q(Z3) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( q(cw)
| m3
| m2
| ~ q(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f21,negated_conjecture,
( q(cu)
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f21_nnf,plain,
( q(cu)
| m1 ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( q(cu)
| m1 ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( q(cu)
| m1 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p22,plain,
( m1
| q(cw)
| m3
| m2 ),
inference(resolution,[status(thm)],[c14,c21]) ).
cnf(f13,negated_conjecture,
( q(Z4)
| m3
| m2
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f13_nnf,plain,
! [Z4] :
( q(Z4)
| m3
| m2
| ~ q(cw) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [Z4] :
( q(Z4)
| m3
| m2
| ~ q(cw) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( q(X0)
| m3
| m2
| ~ q(cw) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p23,plain,
( q(X0)
| m3
| m2
| m1
| m3
| m2 ),
inference(resolution,[status(thm)],[p22,c13]) ).
cnf(p26,plain,
( q(X0)
| m3
| m1
| m3
| m2 ),
inference(factoring,[status(thm)],[p23]) ).
cnf(p28,plain,
( q(X0)
| m1
| m3
| m2 ),
inference(factoring,[status(thm)],[p26]) ).
cnf(f19,negated_conjecture,
( m1
| ~ q(cuu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f19_nnf,plain,
( m1
| ~ q(cuu) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( m1
| ~ q(cuu) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( m1
| ~ q(cuu) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p29,plain,
( m1
| m1
| m3
| m2 ),
inference(resolution,[status(thm)],[p28,c19]) ).
cnf(p30,plain,
( m1
| m3
| m2 ),
inference(factoring,[status(thm)],[p29]) ).
cnf(f17,negated_conjecture,
( p(Vv1)
| ~ p(V1)
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f17_nnf,plain,
! [V1,Vv1] :
( p(Vv1)
| ~ p(V1)
| ~ m2 ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [V1,Vv1] :
( p(Vv1)
| ~ p(V1)
| ~ m2 ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( p(X1)
| ~ p(X0)
| ~ m2 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p31,plain,
( p(X1)
| ~ p(X0)
| m1
| m3 ),
inference(resolution,[status(thm)],[p30,c17]) ).
cnf(f15,negated_conjecture,
( p(fy3(X2))
| p(X2)
| m3
| m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f15_nnf,plain,
! [X2] :
( p(fy3(X2))
| p(X2)
| m3
| m1 ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X2] :
( p(fy3(X2))
| p(X2)
| m3
| m1 ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( p(fy3(X0))
| p(X0)
| m3
| m1 ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p34,plain,
( p(X1)
| m3
| m1
| p(X0)
| m1
| m3 ),
inference(resolution,[status(thm)],[p31,c15]) ).
cnf(p42,plain,
( m3
| m1
| p(X0)
| m1
| m3 ),
inference(factoring,[status(thm)],[p34]) ).
cnf(p43,plain,
( m1
| p(X0)
| m1
| m3 ),
inference(factoring,[status(thm)],[p42]) ).
cnf(p45,plain,
( p(X0)
| m1
| m3 ),
inference(factoring,[status(thm)],[p43]) ).
cnf(f12,negated_conjecture,
( m3
| m1
| ~ p(fy3(X2))
| ~ p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f12_nnf,plain,
! [X2] :
( m3
| m1
| ~ p(fy3(X2))
| ~ p(X2) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X2] :
( m3
| m1
| ~ p(fy3(X2))
| ~ p(X2) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( m3
| m1
| ~ p(fy3(X0))
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p48,plain,
( m3
| m1
| ~ p(fy3(X0))
| m1
| m3 ),
inference(resolution,[status(thm)],[p45,c12]) ).
cnf(p49,plain,
( m1
| ~ p(fy3(X0))
| m1
| m3 ),
inference(factoring,[status(thm)],[p48]) ).
cnf(p51,plain,
( ~ p(fy3(X0))
| m1
| m3 ),
inference(factoring,[status(thm)],[p49]) ).
cnf(p52,plain,
( m1
| m3
| m1
| m3 ),
inference(resolution,[status(thm)],[p51,p45]) ).
cnf(p54,plain,
( m1
| m1
| m3 ),
inference(factoring,[status(thm)],[p52]) ).
cnf(p56,plain,
( m1
| m3 ),
inference(factoring,[status(thm)],[p54]) ).
cnf(f9,negated_conjecture,
( p(cx)
| m1
| ~ p(Y2)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
! [Y2] :
( p(cx)
| m1
| ~ p(Y2)
| ~ m3 ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Y2] :
( p(cx)
| m1
| ~ p(Y2)
| ~ m3 ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( p(cx)
| m1
| ~ p(X0)
| ~ m3 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p58,plain,
( p(cx)
| m1
| ~ p(X0)
| m1 ),
inference(resolution,[status(thm)],[p56,c9]) ).
cnf(p62,plain,
( p(cx)
| ~ p(X0)
| m1 ),
inference(factoring,[status(thm)],[p58]) ).
cnf(f20,negated_conjecture,
( p(cv)
| m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f20_nnf,plain,
( p(cv)
| m2 ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( p(cv)
| m2 ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( p(cv)
| m2 ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p63,plain,
( m2
| p(cx)
| m1 ),
inference(resolution,[status(thm)],[p62,c20]) ).
cnf(f8,negated_conjecture,
( p(Y1)
| m1
| ~ p(cx)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
! [Y1] :
( p(Y1)
| m1
| ~ p(cx)
| ~ m3 ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [Y1] :
( p(Y1)
| m1
| ~ p(cx)
| ~ m3 ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( p(X0)
| m1
| ~ p(cx)
| ~ m3 ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p57,plain,
( p(X0)
| m1
| ~ p(cx)
| m1 ),
inference(resolution,[status(thm)],[p56,c8]) ).
cnf(p61,plain,
( p(X0)
| ~ p(cx)
| m1 ),
inference(factoring,[status(thm)],[p57]) ).
cnf(p64,plain,
( p(X0)
| m1
| m2
| m1 ),
inference(resolution,[status(thm)],[p63,p61]) ).
cnf(p65,plain,
( p(X0)
| m2
| m1 ),
inference(factoring,[status(thm)],[p64]) ).
cnf(f18,negated_conjecture,
( m2
| ~ p(cvv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f18_nnf,plain,
( m2
| ~ p(cvv) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( m2
| ~ p(cvv) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( m2
| ~ p(cvv) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p67,plain,
( m2
| m2
| m1 ),
inference(resolution,[status(thm)],[p65,c18]) ).
cnf(p68,plain,
( m2
| m1 ),
inference(factoring,[status(thm)],[p67]) ).
cnf(f5,negated_conjecture,
( q(cw)
| ~ q(Z)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
! [Z] :
( q(cw)
| ~ q(Z)
| ~ m3
| ~ m2 ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Z] :
( q(cw)
| ~ q(Z)
| ~ m3
| ~ m2 ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( q(cw)
| ~ q(X0)
| ~ m3
| ~ m2 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p71,plain,
( q(cw)
| ~ q(X0)
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[p68,c5]) ).
cnf(p73,plain,
( m1
| q(cw)
| ~ q(X0)
| m1 ),
inference(resolution,[status(thm)],[p71,p56]) ).
cnf(p75,plain,
( q(cw)
| ~ q(X0)
| m1 ),
inference(factoring,[status(thm)],[p73]) ).
cnf(p76,plain,
( m1
| q(cw)
| m1 ),
inference(resolution,[status(thm)],[p75,c21]) ).
cnf(p77,plain,
( q(cw)
| m1 ),
inference(factoring,[status(thm)],[p76]) ).
cnf(f4,negated_conjecture,
( q(Z1)
| ~ q(cw)
| ~ m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [Z1] :
( q(Z1)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [Z1] :
( q(Z1)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( q(X0)
| ~ q(cw)
| ~ m3
| ~ m2 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p70,plain,
( q(X0)
| ~ q(cw)
| ~ m3
| m1 ),
inference(resolution,[status(thm)],[p68,c4]) ).
cnf(p72,plain,
( m1
| q(X0)
| ~ q(cw)
| m1 ),
inference(resolution,[status(thm)],[p70,p56]) ).
cnf(p74,plain,
( q(X0)
| ~ q(cw)
| m1 ),
inference(factoring,[status(thm)],[p72]) ).
cnf(p78,plain,
( q(X0)
| m1
| m1 ),
inference(resolution,[status(thm)],[p77,p74]) ).
cnf(p79,plain,
( q(X0)
| m1 ),
inference(factoring,[status(thm)],[p78]) ).
cnf(p80,plain,
( m1
| m1 ),
inference(resolution,[status(thm)],[p79,c19]) ).
cnf(p81,plain,
m1,
inference(factoring,[status(thm)],[p80]) ).
cnf(f3,negated_conjecture,
( p(cx)
| m3
| ~ p(Y5)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
! [Y5] :
( p(cx)
| m3
| ~ p(Y5)
| ~ m1 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [Y5] :
( p(cx)
| m3
| ~ p(Y5)
| ~ m1 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( p(cx)
| m3
| ~ p(X0)
| ~ m1 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p85,plain,
( p(cx)
| m3
| ~ p(X0) ),
inference(resolution,[status(thm)],[p81,c3]) ).
cnf(p87,plain,
( m2
| p(cx)
| m3 ),
inference(resolution,[status(thm)],[p85,c20]) ).
cnf(f2,negated_conjecture,
( p(Y4)
| m3
| ~ p(cx)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
! [Y4] :
( p(Y4)
| m3
| ~ p(cx)
| ~ m1 ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y4] :
( p(Y4)
| m3
| ~ p(cx)
| ~ m1 ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( p(X0)
| m3
| ~ p(cx)
| ~ m1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p84,plain,
( p(X0)
| m3
| ~ p(cx) ),
inference(resolution,[status(thm)],[p81,c2]) ).
cnf(p88,plain,
( p(X0)
| m3
| m2
| m3 ),
inference(resolution,[status(thm)],[p87,p84]) ).
cnf(p89,plain,
( p(X0)
| m2
| m3 ),
inference(factoring,[status(thm)],[p88]) ).
cnf(p90,plain,
( m2
| m2
| m3 ),
inference(resolution,[status(thm)],[p89,c18]) ).
cnf(p91,plain,
( m2
| m3 ),
inference(factoring,[status(thm)],[p90]) ).
cnf(f7,negated_conjecture,
( q(fz5(W2))
| q(W2)
| m3
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
! [W2] :
( q(fz5(W2))
| q(W2)
| m3
| ~ m2 ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [W2] :
( q(fz5(W2))
| q(W2)
| m3
| ~ m2 ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( q(fz5(X0))
| q(X0)
| m3
| ~ m2 ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p94,plain,
( q(fz5(X0))
| q(X0)
| m3
| m3 ),
inference(resolution,[status(thm)],[p91,c7]) ).
cnf(p96,plain,
( q(fz5(X0))
| q(X0)
| m3 ),
inference(factoring,[status(thm)],[p94]) ).
cnf(f16,negated_conjecture,
( q(Uu1)
| ~ q(U1)
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f16_nnf,plain,
! [U1,Uu1] :
( q(Uu1)
| ~ q(U1)
| ~ m1 ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [U1,Uu1] :
( q(Uu1)
| ~ q(U1)
| ~ m1 ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( q(X1)
| ~ q(X0)
| ~ m1 ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p83,plain,
( q(X1)
| ~ q(X0) ),
inference(resolution,[status(thm)],[p81,c16]) ).
cnf(p97,plain,
( q(X1)
| q(X0)
| m3 ),
inference(resolution,[status(thm)],[p96,p83]) ).
cnf(p98,plain,
( q(X0)
| m3 ),
inference(factoring,[status(thm)],[p97]) ).
cnf(f6,negated_conjecture,
( m3
| ~ q(fz5(W2))
| ~ q(W2)
| ~ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [W2] :
( m3
| ~ q(fz5(W2))
| ~ q(W2)
| ~ m2 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [W2] :
( m3
| ~ q(fz5(W2))
| ~ q(W2)
| ~ m2 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| ~ m2 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p93,plain,
( m3
| ~ q(fz5(X0))
| ~ q(X0)
| m3 ),
inference(resolution,[status(thm)],[p91,c6]) ).
cnf(p95,plain,
( ~ q(fz5(X0))
| ~ q(X0)
| m3 ),
inference(factoring,[status(thm)],[p93]) ).
cnf(p99,plain,
( ~ q(fz5(X0))
| m3
| m3 ),
inference(resolution,[status(thm)],[p98,p95]) ).
cnf(p100,plain,
( ~ q(fz5(X0))
| m3 ),
inference(factoring,[status(thm)],[p99]) ).
cnf(p101,plain,
( m3
| m3 ),
inference(resolution,[status(thm)],[p100,p98]) ).
cnf(p102,plain,
m3,
inference(factoring,[status(thm)],[p101]) ).
cnf(f11,negated_conjecture,
( q(fz2(W1))
| q(W1)
| m2
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f11_nnf,plain,
! [W1] :
( q(fz2(W1))
| q(W1)
| m2
| ~ m3 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [W1] :
( q(fz2(W1))
| q(W1)
| m2
| ~ m3 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( q(fz2(X0))
| q(X0)
| m2
| ~ m3 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p104,plain,
( q(fz2(X0))
| q(X0)
| m2 ),
inference(resolution,[status(thm)],[p102,c11]) ).
cnf(p109,plain,
( q(X1)
| q(X0)
| m2 ),
inference(resolution,[status(thm)],[p104,p83]) ).
cnf(p110,plain,
( q(X0)
| m2 ),
inference(factoring,[status(thm)],[p109]) ).
cnf(f10,negated_conjecture,
( m2
| ~ q(fz2(W1))
| ~ q(W1)
| ~ m3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f10_nnf,plain,
! [W1] :
( m2
| ~ q(fz2(W1))
| ~ q(W1)
| ~ m3 ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [W1] :
( m2
| ~ q(fz2(W1))
| ~ q(W1)
| ~ m3 ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( m2
| ~ q(fz2(X0))
| ~ q(X0)
| ~ m3 ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p103,plain,
( m2
| ~ q(fz2(X0))
| ~ q(X0) ),
inference(resolution,[status(thm)],[p102,c10]) ).
cnf(p111,plain,
( m2
| ~ q(fz2(X0))
| m2 ),
inference(resolution,[status(thm)],[p110,p103]) ).
cnf(p112,plain,
( ~ q(fz2(X0))
| m2 ),
inference(factoring,[status(thm)],[p111]) ).
cnf(p113,plain,
( m2
| m2 ),
inference(resolution,[status(thm)],[p112,p110]) ).
cnf(p114,plain,
m2,
inference(factoring,[status(thm)],[p113]) ).
cnf(p115,plain,
( p(X1)
| ~ p(X0) ),
inference(resolution,[status(thm)],[p114,c17]) ).
cnf(f1,negated_conjecture,
( p(fy(X1))
| p(X1)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
! [X1] :
( p(fy(X1))
| p(X1)
| ~ m3
| ~ m1 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X1] :
( p(fy(X1))
| p(X1)
| ~ m3
| ~ m1 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( p(fy(X0))
| p(X0)
| ~ m3
| ~ m1 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p86,plain,
( p(fy(X0))
| p(X0)
| ~ m3 ),
inference(resolution,[status(thm)],[p81,c1]) ).
cnf(p106,plain,
( p(fy(X0))
| p(X0) ),
inference(resolution,[status(thm)],[p102,p86]) ).
cnf(p116,plain,
( p(X1)
| p(X0) ),
inference(resolution,[status(thm)],[p115,p106]) ).
cnf(p117,plain,
p(X0),
inference(factoring,[status(thm)],[p116]) ).
cnf(f0,negated_conjecture,
( ~ p(fy(X1))
| ~ p(X1)
| ~ m3
| ~ m1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [X1] :
( ~ p(fy(X1))
| ~ p(X1)
| ~ m3
| ~ m1 ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X1] :
( ~ p(fy(X1))
| ~ p(X1)
| ~ m3
| ~ m1 ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3
| ~ m1 ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p82,plain,
( ~ p(fy(X0))
| ~ p(X0)
| ~ m3 ),
inference(resolution,[status(thm)],[p81,c0]) ).
cnf(p105,plain,
( ~ p(fy(X0))
| ~ p(X0) ),
inference(resolution,[status(thm)],[p102,p82]) ).
cnf(p118,plain,
~ p(fy(X0)),
inference(resolution,[status(thm)],[p117,p105]) ).
cnf(p119,plain,
$false,
inference(resolution,[status(thm)],[p118,p117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN037-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 23:53:29 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.73/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/1.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------