%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG374-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 09:30:25 AM UTC 2026
% Result : Unsatisfiable 18.36s 5.27s
% Output : Refutation 18.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 42 ( 26 unt; 6 def)
% Number of atoms : 65 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 29 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Oordered__semidom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__one_0) ).
fof(f248,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_divide__pos__pos_0) ).
fof(f359,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).
fof(f507,axiom,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(X0),tc_nat),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__of__nat__Suc__gt__zero_0) ).
fof(f541,axiom,
! [X0] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_s1_1) ).
fof(f542,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_s1_2) ).
fof(f558,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X0),c_HOL_Oplus__class_Oplus(X1,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).
fof(f704,negated_conjecture,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_n____),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f729,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f743,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f747,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
fof(f757,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
fof(f792,definition,
sF0 = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f793,plain,
c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) = sF0,
inference(reorient_equations,[],[f792]) ).
fof(f794,definition,
sF1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f795,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = sF1,
inference(reorient_equations,[],[f794]) ).
fof(f796,definition,
sF2 = c_Suc(v_n____),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f797,plain,
c_Suc(v_n____) = sF2,
inference(reorient_equations,[],[f796]) ).
fof(f798,definition,
sF3 = c_RealDef_Oreal(sF2,tc_nat),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f799,plain,
c_RealDef_Oreal(sF2,tc_nat) = sF3,
inference(reorient_equations,[],[f798]) ).
fof(f800,definition,
sF4 = c_HOL_Oinverse__class_Odivide(sF1,sF3,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f801,plain,
c_HOL_Oinverse__class_Odivide(sF1,sF3,tc_RealDef_Oreal) = sF4,
inference(reorient_equations,[],[f800]) ).
fof(f802,definition,
sF5 = c_HOL_Oplus__class_Oplus(sF0,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f803,plain,
c_HOL_Oplus__class_Oplus(sF0,sF4,tc_RealDef_Oreal) = sF5,
inference(reorient_equations,[],[f802]) ).
fof(f804,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),sF5,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
inference(definition_folding,[],[f704,f803,f801,f799,f797,f795,f793]) ).
fof(f843,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF1,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
inference(superposition,[],[f86,f795]) ).
fof(f844,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF1,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f843,f743]) ).
fof(f853,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(sF2,tc_nat),tc_RealDef_Oreal),
inference(superposition,[],[f507,f797]) ).
fof(f854,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f853,f799]) ).
fof(f975,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(resolution,[],[f359,f757]) ).
fof(f9733,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(sF0,X0,tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,sF4,tc_RealDef_Oreal) ),
inference(superposition,[],[f558,f803]) ).
fof(f9735,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(sF0,X0,tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,sF4,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f9733,f729]) ).
fof(f12715,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,sF5),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
inference(resolution,[],[f542,f804]) ).
fof(f12762,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),sF5,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f12715,f541]) ).
fof(f12782,plain,
~ c_HOL_Oord__class_Oless(sF0,sF5,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f12762,f793]) ).
fof(f14084,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF1,tc_RealDef_Oreal) ),
inference(superposition,[],[f248,f801]) ).
fof(f14092,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF1,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f14084,f747]) ).
fof(f14094,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF1,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f14092,f854]) ).
fof(f14095,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f14094,f844]) ).
fof(f40139,plain,
( c_HOL_Oord__class_Oless(sF0,sF5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal) ),
inference(superposition,[],[f9735,f975]) ).
fof(f40143,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f40139,f12782]) ).
fof(f40158,plain,
$false,
inference(forward_subsumption_resolution,[],[f40143,f14095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG374-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:14:00 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.94/2.52 % (3413047)Will run a generic schedule for satisfiability detection.
% 15.94/2.52 % (3413055)dis+10_1_sil=32000:sp=arity:random_seed=4023306097:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.94/2.52 % (3413053)% WARNING: option uhcvi not known.
% 15.94/2.52 % (3413052)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2203347183_2999 on theBenchmark for (2999ds/0Mi)
% 15.94/2.52 % (3413053)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3226839777:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.94/2.52 % (3413054)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4264399989:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.94/2.52 % (3413056)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1599156799:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.94/2.52 % (3413057)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4234527024:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.94/2.52 % (3413058)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1631948952:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.94/2.52 % (3413055)Instruction limit reached!
% 15.94/2.52 % (3413055)------------------------------
% 15.94/2.52 % (3413055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.52 % (3413055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.52 % (3413055)CaDiCaL version: 2.1.3
% 15.94/2.52 % (3413055)Termination reason: Instruction limit
% 15.94/2.52 % (3413055)Termination phase: Saturation
% 15.94/2.52 % (3413055)Time elapsed: 0.038 s
% 15.94/2.52 % (3413055)Peak memory usage: 13 MB
% 15.94/2.52 % (3413055)Instructions burned: 106 (million)
% 15.94/2.52 % (3413066)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2385780871:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.94/2.52 % TRYING [1]
% 15.94/2.52 % TRYING [2]
% 15.94/2.52 % TRYING [1]
% 15.94/2.52 % TRYING [2]
% 15.94/2.52 % (3413056)Instruction limit reached!
% 15.94/2.52 % (3413056)------------------------------
% 15.94/2.52 % (3413056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.52 % (3413056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.52 % (3413056)CaDiCaL version: 2.1.3
% 15.94/2.52 % (3413056)Termination reason: Instruction limit
% 15.94/2.52 % (3413056)Termination phase: Saturation
% 15.94/2.52 % (3413056)Time elapsed: 0.075 s
% 15.94/2.52 % (3413056)Peak memory usage: 13 MB
% 15.94/2.52 % (3413056)Instructions burned: 116 (million)
% 15.94/2.52 % (3413057)Instruction limit reached!
% 15.94/2.52 % (3413057)------------------------------
% 15.94/2.52 % (3413057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.52 % (3413057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.52 % (3413057)CaDiCaL version: 2.1.3
% 15.94/2.52 % (3413057)Termination reason: Instruction limit
% 15.94/2.52 % (3413057)Termination phase: Saturation
% 15.94/2.52 % (3413057)Time elapsed: 0.079 s
% 15.94/2.52 % (3413057)Peak memory usage: 13 MB
% 15.94/2.52 % (3413057)Instructions burned: 132 (million)
% 15.94/2.52 % TRYING [3]
% 15.94/2.52 % (3413069)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3372522886:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.94/2.52 % TRYING [3]
% 15.94/2.52 % (3413058)Instruction limit reached!
% 15.94/2.52 % (3413058)------------------------------
% 15.94/2.52 % (3413058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.52 % (3413058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.52 % (3413058)CaDiCaL version: 2.1.3
% 15.94/2.52 % (3413058)Termination reason: Instruction limit
% 15.94/2.52 % (3413058)Termination phase: Saturation
% 15.94/2.52 % (3413058)Time elapsed: 0.103 s
% 15.94/2.52 % (3413058)Peak memory usage: 14 MB
% 15.94/2.52 % (3413058)Instructions burned: 159 (million)
% 15.94/2.52 % (3413068)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1817214058:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.94/2.52 % (3413071)ott-21_1_sil=16000:fs=off:random_seed=97980020:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.94/2.52 % (3413068)Instruction limit reached!
% 15.94/2.52 % (3413068)------------------------------
% 15.94/2.52 % (3413068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.52 % (3413068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413068)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413068)Termination reason: Instruction limit
% 18.36/5.27 % (3413068)Termination phase: Saturation
% 18.36/5.27 % (3413068)Time elapsed: 0.087 s
% 18.36/5.27 % (3413068)Peak memory usage: 13 MB
% 18.36/5.27 % (3413068)Instructions burned: 131 (million)
% 18.36/5.27 % (3413066)Instruction limit reached!
% 18.36/5.27 % (3413066)------------------------------
% 18.36/5.27 % (3413066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413066)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413066)Termination reason: Instruction limit
% 18.36/5.27 % (3413066)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413066)Time elapsed: 0.156 s
% 18.36/5.27 % (3413066)Peak memory usage: 43 MB
% 18.36/5.27 % (3413066)Instructions burned: 716 (million)
% 18.36/5.27 % (3413074)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1243999578:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.36/5.27 % (3413071)Instruction limit reached!
% 18.36/5.27 % (3413071)------------------------------
% 18.36/5.27 % (3413071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413071)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413071)Termination reason: Instruction limit
% 18.36/5.27 % (3413071)Termination phase: Saturation
% 18.36/5.27 % (3413071)Time elapsed: 0.095 s
% 18.36/5.27 % (3413071)Peak memory usage: 13 MB
% 18.36/5.27 % (3413071)Instructions burned: 181 (million)
% 18.36/5.27 % (3413075)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3402467520:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.36/5.27 % (3413077)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3859327905:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.36/5.27 % TRYING [1]
% 18.36/5.27 % TRYING [2]
% 18.36/5.27 % TRYING [4]
% 18.36/5.27 % TRYING [3]
% 18.36/5.27 % (3413069)Instruction limit reached!
% 18.36/5.27 % (3413069)------------------------------
% 18.36/5.27 % (3413069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413069)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413069)Termination reason: Instruction limit
% 18.36/5.27 % (3413069)Termination phase: Saturation
% 18.36/5.27 % (3413069)Time elapsed: 0.411 s
% 18.36/5.27 % (3413069)Peak memory usage: 18 MB
% 18.36/5.27 % (3413069)Instructions burned: 685 (million)
% 18.36/5.27 % (3413080)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1194416339:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.36/5.27 % (3413074)Instruction limit reached!
% 18.36/5.27 % (3413074)------------------------------
% 18.36/5.27 % (3413074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413074)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413074)Termination reason: Instruction limit
% 18.36/5.27 % (3413074)Termination phase: Saturation
% 18.36/5.27 % (3413074)Time elapsed: 0.318 s
% 18.36/5.27 % (3413074)Peak memory usage: 14 MB
% 18.36/5.27 % (3413074)Instructions burned: 478 (million)
% 18.36/5.27 % (3413082)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1060762274:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.36/5.27 % (3413075)Instruction limit reached!
% 18.36/5.27 % (3413075)------------------------------
% 18.36/5.27 % (3413075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413075)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413075)Termination reason: Instruction limit
% 18.36/5.27 % (3413075)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413075)Time elapsed: 0.369 s
% 18.36/5.27 % (3413075)Peak memory usage: 36 MB
% 18.36/5.27 % (3413075)Instructions burned: 866 (million)
% 18.36/5.27 % (3413084)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=67162287:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.36/5.27 % (3413077)Instruction limit reached!
% 18.36/5.27 % (3413077)------------------------------
% 18.36/5.27 % (3413077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413077)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413077)Termination reason: Instruction limit
% 18.36/5.27 % (3413077)Termination phase: Saturation
% 18.36/5.27 % (3413077)Time elapsed: 0.392 s
% 18.36/5.27 % (3413077)Peak memory usage: 20 MB
% 18.36/5.27 % (3413077)Instructions burned: 1181 (million)
% 18.36/5.27 % (3413086)fmb+10_1_sil=64000:random_seed=619043451:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 18.36/5.27 % TRYING [1]
% 18.36/5.27 % TRYING [2]
% 18.36/5.27 % TRYING [3]
% 18.36/5.27 % TRYING [5]
% 18.36/5.27 % (3413080)Instruction limit reached!
% 18.36/5.27 % (3413080)------------------------------
% 18.36/5.27 % (3413080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413080)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413080)Termination reason: Instruction limit
% 18.36/5.27 % (3413080)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413080)Time elapsed: 0.410 s
% 18.36/5.27 % (3413080)Peak memory usage: 99 MB
% 18.36/5.27 % (3413080)Instructions burned: 890 (million)
% 18.36/5.27 % (3413088)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1564327521:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 18.36/5.27 % (3413082)Instruction limit reached!
% 18.36/5.27 % (3413082)------------------------------
% 18.36/5.27 % (3413082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413082)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413082)Termination reason: Instruction limit
% 18.36/5.27 % (3413082)Termination phase: Saturation
% 18.36/5.27 % (3413082)Time elapsed: 0.446 s
% 18.36/5.27 % (3413082)Peak memory usage: 18 MB
% 18.36/5.27 % (3413082)Instructions burned: 692 (million)
% 18.36/5.27 % (3413090)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2612673762:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 18.36/5.27 % TRYING [20]
% 18.36/5.27 % TRYING [8]
% 18.36/5.27 % (3413084)Instruction limit reached!
% 18.36/5.27 % (3413084)------------------------------
% 18.36/5.27 % (3413084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413084)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413084)Termination reason: Instruction limit
% 18.36/5.27 % (3413084)Termination phase: Saturation
% 18.36/5.27 % (3413084)Time elapsed: 0.503 s
% 18.36/5.27 % (3413084)Peak memory usage: 19 MB
% 18.36/5.27 % (3413084)Instructions burned: 880 (million)
% 18.36/5.27 % (3413092)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1225571529:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 18.36/5.27 % TRYING [4]
% 18.36/5.27 % (3413090)Instruction limit reached!
% 18.36/5.27 % (3413090)------------------------------
% 18.36/5.27 % (3413090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413090)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413090)Termination reason: Instruction limit
% 18.36/5.27 % (3413090)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413090)Time elapsed: 0.332 s
% 18.36/5.27 % (3413090)Peak memory usage: 63 MB
% 18.36/5.27 % (3413090)Instructions burned: 922 (million)
% 18.36/5.27 % (3413094)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=815401957:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 18.36/5.27 % (3413094)Instruction limit reached!
% 18.36/5.27 % (3413094)------------------------------
% 18.36/5.27 % (3413094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413094)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413094)Termination reason: Instruction limit
% 18.36/5.27 % (3413094)Termination phase: Saturation
% 18.36/5.27 % (3413094)Time elapsed: 0.775 s
% 18.36/5.27 % (3413094)Peak memory usage: 27 MB
% 18.36/5.27 % (3413094)Instructions burned: 1473 (million)
% 18.36/5.27 % (3413096)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3389988819:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 18.36/5.27 % (3413096)Cannot represent all propositional literals internally
% 18.36/5.27 % (3413096)Refutation not found, incomplete strategy
% 18.36/5.27 % (3413096)------------------------------
% 18.36/5.27 % (3413096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413096)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413096)Termination reason: Refutation not found, incomplete strategy
% 18.36/5.27 % (3413096)Time elapsed: 0.063 s
% 18.36/5.27 % (3413096)Peak memory usage: 13 MB
% 18.36/5.27 % (3413096)Instructions burned: 128 (million)
% 18.36/5.27 % (3413096)------------------------------
% 18.36/5.27 % (3413096)------------------------------
% 18.36/5.27 % (3413098)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2125281125:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 18.36/5.27 % TRYING [5]
% 18.36/5.27 % TRYING [16]
% 18.36/5.27 % TRYING [6]
% 18.36/5.27 % (3413098)Instruction limit reached!
% 18.36/5.27 % (3413098)------------------------------
% 18.36/5.27 % (3413098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413098)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413098)Termination reason: Instruction limit
% 18.36/5.27 % (3413098)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413098)Time elapsed: 0.828 s
% 18.36/5.27 % (3413098)Peak memory usage: 111 MB
% 18.36/5.27 % (3413098)Instructions burned: 2177 (million)
% 18.36/5.27 % (3413100)ott-2_1_sil=16000:newcnf=on:random_seed=3950407826:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 18.36/5.27 % (3413100)Instruction limit reached!
% 18.36/5.27 % (3413100)------------------------------
% 18.36/5.27 % (3413100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413100)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413100)Termination reason: Instruction limit
% 18.36/5.27 % (3413100)Termination phase: Saturation
% 18.36/5.27 % (3413100)Time elapsed: 0.449 s
% 18.36/5.27 % (3413100)Peak memory usage: 15 MB
% 18.36/5.27 % (3413100)Instructions burned: 869 (million)
% 18.36/5.27 % (3413102)ott+10_1_sil=32000:tgt=ground:random_seed=1715431242:i=5114:av=off_2963 on theBenchmark for (2963ds/5114Mi)
% 18.36/5.27 % (3413092)Instruction limit reached!
% 18.36/5.27 % (3413092)------------------------------
% 18.36/5.27 % (3413092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413092)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413092)Termination reason: Instruction limit
% 18.36/5.27 % (3413092)Termination phase: Saturation
% 18.36/5.27 % (3413092)Time elapsed: 3.094 s
% 18.36/5.27 % (3413092)Peak memory usage: 35 MB
% 18.36/5.27 % (3413092)Instructions burned: 5131 (million)
% 18.36/5.27 % (3413104)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3959190135:i=54282_2957 on theBenchmark for (2957ds/54282Mi)
% 18.36/5.27 % TRYING [1]
% 18.36/5.27 % TRYING [2]
% 18.36/5.27 % TRYING [3]
% 18.36/5.27 % (3413088)Instruction limit reached!
% 18.36/5.27 % (3413088)------------------------------
% 18.36/5.27 % (3413088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413088)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413088)Termination reason: Instruction limit
% 18.36/5.27 % (3413088)Termination phase: Finite model building constraint generation
% 18.36/5.27 % (3413088)Time elapsed: 3.440 s
% 18.36/5.27 % (3413088)Peak memory usage: 620 MB
% 18.36/5.27 % (3413088)Instructions burned: 9518 (million)
% 18.36/5.27 % (3413106)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=30633223:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 18.36/5.27 % TRYING [4]
% 18.36/5.27 % (3413102) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3413047-3413102"...
% 18.36/5.27 % (3413102)...printing done.
% 18.36/5.27 % (3413102)Refutation found. Thanks to Tanya!
% 18.36/5.27 % SZS status Unsatisfiable for theBenchmark
% 18.36/5.27 % SZS output start Proof for theBenchmark
% See solution above
% 18.36/5.27 % (3413102)------------------------------
% 18.36/5.27 % (3413102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.36/5.27 % (3413102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.36/5.27 % (3413102)CaDiCaL version: 2.1.3
% 18.36/5.27 % (3413102)Termination reason: Refutation
% 18.36/5.27 % (3413102)Time elapsed: 1.320 s
% 18.36/5.27 % (3413102)Peak memory usage: 22 MB
% 18.36/5.27 % (3413102)Instructions burned: 2074 (million)
% 18.36/5.27 % (3413047)Success in time 5.049 s
% 18.36/5.27 % Vampire exiting
%------------------------------------------------------------------------------