%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG368-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12.61s 2.13s
% Output : Refutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 18 unt; 1 def)
% Number of atoms : 54 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f552,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(X0,c_RealDef_Oreal(c_RComplete_Osko__RComplete__Xreals__Archimedean6__1__1(X0),tc_nat),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_reals__Archimedean6_1) ).
fof(f713,axiom,
! [X0,X1] :
( ~ class_RealVector_Ometric__space(X0)
| c_RealVector_Odist__class_Odist(X1,X1,X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dist__self_0) ).
fof(f714,plain,
! [X0,X1] :
( ~ class_RealVector_Ometric__space(X0)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Odist__class_Odist(X1,X1,X0) ),
inference(reorient_equations,[],[f713]) ).
fof(f899,axiom,
! [X0] : c_lessequals(X0,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__refl_0) ).
fof(f975,axiom,
! [X0,X1] : c_RealVector_Odist__class_Odist(X0,X1,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dist__complex__def_0) ).
fof(f993,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__0_0) ).
fof(f994,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
inference(reorient_equations,[],[f993]) ).
fof(f997,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ep_0) ).
fof(f1038,negated_conjecture,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X0),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1153,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1170,axiom,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Ometric__space) ).
fof(f1581,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_RealDef_Oreal(c_RComplete_Osko__RComplete__Xreals__Archimedean6__1__1(X0),tc_nat),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f552]) ).
fof(f1675,plain,
! [X0,X1] :
( class_RealVector_Ometric__space(X0)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Odist__class_Odist(X1,X1,X0) ),
inference(consistent_polarity_flipping,[],[f714]) ).
fof(f1803,plain,
! [X0] : ~ c_lessequals(X0,X0,tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f899]) ).
fof(f1871,plain,
! [X0,X1] :
( class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) ),
inference(consistent_polarity_flipping,[],[f994]) ).
fof(f1873,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f997]) ).
fof(f1899,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X0),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f1038]) ).
fof(f1952,plain,
~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1153]) ).
fof(f1958,plain,
~ class_RealVector_Ometric__space(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1170]) ).
fof(f2128,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Odist__class_Odist(X0,X0,tc_Complex_Ocomplex),
inference(resolution,[],[f1675,f1958]) ).
fof(f2511,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,X0),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(superposition,[],[f1899,f975]) ).
fof(f2893,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
inference(resolution,[],[f1871,f1952]) ).
fof(f27356,definition,
( spl0_436
<=> ! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
fof(f27357,plain,
( ! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f27356]) ).
fof(f49736,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(superposition,[],[f2511,f2893]) ).
fof(f49880,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f49736,f2893]) ).
fof(f49911,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f49880,f2128]) ).
fof(f49937,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f49911,f1873]) ).
fof(f49963,plain,
spl0_436,
inference(avatar_split_clause,[],[f49937,f27356]) ).
fof(f50152,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_436 ),
inference(resolution,[],[f27357,f1581]) ).
fof(f50229,plain,
( $false
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f50152,f1803]) ).
fof(f50230,plain,
~ spl0_436,
inference(avatar_contradiction_clause,[],[f50229]) ).
cnf(s1790,plain,
spl0_436,
inference(sat_conversion,[],[f49963]) ).
cnf(s1844,plain,
~ spl0_436,
inference(sat_conversion,[],[f50230]) ).
cnf(s1860,plain,
$false,
inference(rat,[],[s1790,s1844]) ).
fof(f50252,plain,
$false,
inference(avatar_sat_refutation,[],[s1860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG368-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:19:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.50/1.83 % (679703)Will run a generic schedule for satisfiability detection.
% 9.50/1.83 % (679727)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2668108722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.50/1.83 % (679726)% WARNING: option uhcvi not known.
% 9.50/1.83 % (679725)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2806465864_2999 on theBenchmark for (2999ds/0Mi)
% 9.50/1.83 % (679730)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2479956979:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.50/1.83 % (679726)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3039793570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.50/1.83 % (679728)dis+10_1_sil=32000:sp=arity:random_seed=586447492:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.50/1.83 % (679732)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1891395297:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.50/1.83 % (679731)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=425775380:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.50/1.83 % (679728)Instruction limit reached!
% 9.50/1.83 % (679728)------------------------------
% 9.50/1.83 % (679728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.83 % (679728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (679728)CaDiCaL version: 2.1.3
% 9.50/1.83 % (679728)Termination reason: Instruction limit
% 9.50/1.83 % (679728)Termination phase: Saturation
% 9.50/1.83 % (679728)Time elapsed: 0.066 s
% 9.50/1.83 % (679728)Peak memory usage: 13 MB
% 9.50/1.83 % (679728)Instructions burned: 104 (million)
% 9.50/1.83 % (679730)Instruction limit reached!
% 9.50/1.83 % (679730)------------------------------
% 9.50/1.83 % (679730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.83 % (679730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (679730)CaDiCaL version: 2.1.3
% 9.50/1.83 % (679730)Termination reason: Instruction limit
% 9.50/1.83 % (679730)Termination phase: Saturation
% 9.50/1.83 % (679730)Time elapsed: 0.071 s
% 9.50/1.83 % (679730)Peak memory usage: 14 MB
% 9.50/1.83 % (679730)Instructions burned: 116 (million)
% 9.50/1.83 % (679731)Instruction limit reached!
% 9.50/1.83 % (679731)------------------------------
% 9.50/1.83 % (679731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.83 % (679731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (679731)CaDiCaL version: 2.1.3
% 9.50/1.83 % (679731)Termination reason: Instruction limit
% 9.50/1.83 % (679731)Termination phase: Saturation
% 9.50/1.83 % (679731)Time elapsed: 0.078 s
% 9.50/1.83 % (679731)Peak memory usage: 14 MB
% 9.50/1.83 % (679731)Instructions burned: 132 (million)
% 9.50/1.83 % (679775)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=520846965:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.50/1.83 % (679778)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4203133690:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.50/1.83 % (679783)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=65048320:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.50/1.83 % (679732)Instruction limit reached!
% 9.50/1.83 % (679732)------------------------------
% 9.50/1.83 % (679732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.83 % (679732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (679732)CaDiCaL version: 2.1.3
% 9.50/1.83 % (679732)Termination reason: Instruction limit
% 9.50/1.83 % (679732)Termination phase: Saturation
% 9.50/1.83 % (679732)Time elapsed: 0.106 s
% 9.50/1.83 % (679732)Peak memory usage: 15 MB
% 9.50/1.83 % (679732)Instructions burned: 160 (million)
% 9.50/1.83 % TRYING [1]
% 9.50/1.83 % TRYING [2]
% 9.50/1.83 % (679793)ott-21_1_sil=16000:fs=off:random_seed=3727428937:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.50/1.83 % (679778)Instruction limit reached!
% 9.50/1.83 % (679778)------------------------------
% 9.50/1.83 % (679778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.83 % (679778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.83 % (679778)CaDiCaL version: 2.1.3
% 9.50/1.83 % (679778)Termination reason: Instruction limit
% 12.61/2.13 % (679778)Termination phase: Saturation
% 12.61/2.13 % (679778)Time elapsed: 0.083 s
% 12.61/2.13 % (679778)Peak memory usage: 14 MB
% 12.61/2.13 % (679778)Instructions burned: 132 (million)
% 12.61/2.13 % (679806)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3013232911:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.61/2.13 % TRYING [1]
% 12.61/2.13 % TRYING [2]
% 12.61/2.13 % TRYING [3]
% 12.61/2.13 % (679793)Instruction limit reached!
% 12.61/2.13 % (679793)------------------------------
% 12.61/2.13 % (679793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679793)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679793)Termination reason: Instruction limit
% 12.61/2.13 % (679793)Termination phase: Saturation
% 12.61/2.13 % (679793)Time elapsed: 0.102 s
% 12.61/2.13 % (679793)Peak memory usage: 13 MB
% 12.61/2.13 % (679793)Instructions burned: 181 (million)
% 12.61/2.13 % (679808)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3811920917:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.61/2.13 % TRYING [3]
% 12.61/2.13 % TRYING [1]
% 12.61/2.13 % (679775)Instruction limit reached!
% 12.61/2.13 % (679775)------------------------------
% 12.61/2.13 % (679775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679775)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679775)Termination reason: Instruction limit
% 12.61/2.13 % (679775)Termination phase: Finite model building constraint generation
% 12.61/2.13 % (679775)Time elapsed: 0.282 s
% 12.61/2.13 % (679775)Peak memory usage: 30 MB
% 12.61/2.13 % (679775)Instructions burned: 717 (million)
% 12.61/2.13 % TRYING [2]
% 12.61/2.13 % (679857)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=679206389:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 12.61/2.13 % (679783)Instruction limit reached!
% 12.61/2.13 % (679783)------------------------------
% 12.61/2.13 % (679783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679783)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679783)Termination reason: Instruction limit
% 12.61/2.13 % (679783)Termination phase: Saturation
% 12.61/2.13 % (679783)Time elapsed: 0.349 s
% 12.61/2.13 % (679783)Peak memory usage: 20 MB
% 12.61/2.13 % (679783)Instructions burned: 684 (million)
% 12.61/2.13 % (679859)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3335592055:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.61/2.13 % (679806)Instruction limit reached!
% 12.61/2.13 % (679806)------------------------------
% 12.61/2.13 % (679806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679806)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679806)Termination reason: Instruction limit
% 12.61/2.13 % (679806)Termination phase: Saturation
% 12.61/2.13 % (679806)Time elapsed: 0.287 s
% 12.61/2.13 % (679806)Peak memory usage: 15 MB
% 12.61/2.13 % (679806)Instructions burned: 478 (million)
% 12.61/2.13 % (679861)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=3244167741: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)
% 12.61/2.13 % (679808)Instruction limit reached!
% 12.61/2.13 % (679808)------------------------------
% 12.61/2.13 % (679808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679808)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679808)Termination reason: Instruction limit
% 12.61/2.13 % (679808)Termination phase: Finite model building SAT solving
% 12.61/2.13 % (679808)Time elapsed: 0.394 s
% 12.61/2.13 % (679808)Peak memory usage: 30 MB
% 12.61/2.13 % (679808)Instructions burned: 868 (million)
% 12.61/2.13 % (679863)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1864351898:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.61/2.13 % (679861)Instruction limit reached!
% 12.61/2.13 % (679861)------------------------------
% 12.61/2.13 % (679861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679861)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679861)Termination reason: Instruction limit
% 12.61/2.13 % (679861)Termination phase: Saturation
% 12.61/2.13 % (679861)Time elapsed: 0.390 s
% 12.61/2.13 % (679861)Peak memory usage: 18 MB
% 12.61/2.13 % (679861)Instructions burned: 693 (million)
% 12.61/2.13 % (679859)Instruction limit reached!
% 12.61/2.13 % (679859)------------------------------
% 12.61/2.13 % (679859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679859)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679859)Termination reason: Instruction limit
% 12.61/2.13 % (679859)Termination phase: Finite model building constraint generation
% 12.61/2.13 % (679859)Time elapsed: 0.426 s
% 12.61/2.13 % (679859)Peak memory usage: 95 MB
% 12.61/2.13 % (679859)Instructions burned: 890 (million)
% 12.61/2.13 % TRYING [4]
% 12.61/2.13 % (679865)fmb+10_1_sil=64000:random_seed=711888532:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 12.61/2.13 % (679866)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3741200957:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.61/2.13 % TRYING [1]
% 12.61/2.13 % (679866)Cannot represent all propositional literals internally
% 12.61/2.13 % (679866)Refutation not found, incomplete strategy
% 12.61/2.13 % (679866)------------------------------
% 12.61/2.13 % (679866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679866)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679866)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.13 % (679866)Time elapsed: 0.103 s
% 12.61/2.13 % (679866)Peak memory usage: 15 MB
% 12.61/2.13 % (679866)Instructions burned: 214 (million)
% 12.61/2.13 % (679866)------------------------------
% 12.61/2.13 % (679866)------------------------------
% 12.61/2.13 % TRYING [2]
% 12.61/2.13 % (679869)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=28942850:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.61/2.13 % (679857)Instruction limit reached!
% 12.61/2.13 % (679857)------------------------------
% 12.61/2.13 % (679857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679857)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679857)Termination reason: Instruction limit
% 12.61/2.13 % (679857)Termination phase: Saturation
% 12.61/2.13 % (679857)Time elapsed: 0.686 s
% 12.61/2.13 % (679857)Peak memory usage: 20 MB
% 12.61/2.13 % (679857)Instructions burned: 1179 (million)
% 12.61/2.13 % (679871)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1804124700:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.61/2.13 % (679863)Instruction limit reached!
% 12.61/2.13 % (679863)------------------------------
% 12.61/2.13 % (679863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679863)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679863)Termination reason: Instruction limit
% 12.61/2.13 % (679863)Termination phase: Saturation
% 12.61/2.13 % (679863)Time elapsed: 0.475 s
% 12.61/2.13 % (679863)Peak memory usage: 20 MB
% 12.61/2.13 % (679863)Instructions burned: 880 (million)
% 12.61/2.13 % TRYING [8]
% 12.61/2.13 % (679873)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=216537989:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 12.61/2.13 % (679869)Instruction limit reached!
% 12.61/2.13 % (679869)------------------------------
% 12.61/2.13 % (679869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679869)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679869)Termination reason: Instruction limit
% 12.61/2.13 % (679869)Termination phase: Finite model building constraint generation
% 12.61/2.13 % (679869)Time elapsed: 0.351 s
% 12.61/2.13 % (679869)Peak memory usage: 60 MB
% 12.61/2.13 % (679869)Instructions burned: 921 (million)
% 12.61/2.13 % (679875)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=248040899:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 12.61/2.13 % TRYING [3]
% 12.61/2.13 % (679875)Cannot represent all propositional literals internally
% 12.61/2.13 % (679875)Refutation not found, incomplete strategy
% 12.61/2.13 % (679875)------------------------------
% 12.61/2.13 % (679875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679875)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679875)Termination reason: Refutation not found, incomplete strategy
% 12.61/2.13 % (679875)Time elapsed: 0.114 s
% 12.61/2.13 % (679875)Peak memory usage: 16 MB
% 12.61/2.13 % (679875)Instructions burned: 231 (million)
% 12.61/2.13 % (679875)------------------------------
% 12.61/2.13 % (679875)------------------------------
% 12.61/2.13 % (679877)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3736021213:fmbsr=2.30978:i=2174_2984 on theBenchmark for (2984ds/2174Mi)
% 12.61/2.13 % (679726) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-679703-679726"...
% 12.61/2.13 % (679726)...printing done.
% 12.61/2.13 % (679726)Refutation found. Thanks to Tanya!
% 12.61/2.13 % SZS status Unsatisfiable for theBenchmark
% 12.61/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.13 % (679726)------------------------------
% 12.61/2.13 % (679726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.61/2.13 % (679726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.61/2.13 % (679726)CaDiCaL version: 2.1.3
% 12.61/2.13 % (679726)Termination reason: Refutation
% 12.61/2.13 % (679726)Time elapsed: 1.796 s
% 12.61/2.13 % (679726)Peak memory usage: 28 MB
% 12.61/2.13 % (679726)Instructions burned: 2882 (million)
% 12.61/2.13 % (679703)Success in time 1.892 s
% 12.61/2.13 % Vampire exiting
%------------------------------------------------------------------------------