%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG370-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:19:53 AM UTC 2026
% Result : Unsatisfiable 2.19s 1.14s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 17 unt; 5 def)
% Number of atoms : 92 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 40 ~; 37 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f249,axiom,
! [X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f250,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f374,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X0,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
fof(f432,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(f451,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
fof(f498,axiom,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f499,axiom,
c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f500,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f735,definition,
( spl0_5
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f736,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| spl0_5 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f759,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
inference(superposition,[],[f500,f432]) ).
fof(f765,plain,
( v_e = c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ),
inference(resolution,[],[f759,f250]) ).
fof(f767,definition,
( spl0_9
<=> c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f771,definition,
( spl0_10
<=> v_e = c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f773,plain,
( v_e = c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f774,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f765,f771,f767]) ).
fof(f782,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_e,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| spl0_5 ),
inference(resolution,[],[f374,f737]) ).
fof(f784,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_e,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| spl0_5 ),
inference(forward_demodulation,[],[f782,f432]) ).
fof(f937,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f499,f432]) ).
fof(f1018,plain,
( ! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,v_e,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) )
| spl0_5 ),
inference(resolution,[],[f784,f249]) ).
fof(f1025,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl0_5 ),
inference(resolution,[],[f1018,f498]) ).
fof(f1027,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1025,f937]) ).
fof(f1028,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1029,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Odist__class_Odist(v_w____,v_z,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,c_HOL_Ominus__class_Ominus(v_w____,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f736,f432]) ).
fof(f1034,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1029,f735,f767]) ).
fof(f1035,plain,
( c_lessequals(v_e,c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl0_10 ),
inference(superposition,[],[f937,f773]) ).
fof(f1061,plain,
( v_e = c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| ~ spl0_10 ),
inference(resolution,[],[f1035,f112]) ).
fof(f1063,definition,
( spl0_19
<=> c_lessequals(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f1065,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| spl0_19 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1067,definition,
( spl0_20
<=> v_e = c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1069,plain,
( v_e = c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1061,f771,f1067,f1063]) ).
fof(f1082,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_da____,v_m____,tc_RealDef_Oreal),v_e,tc_RealDef_Oreal)
| spl0_19 ),
inference(resolution,[],[f1065,f249]) ).
fof(f1083,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f1082,f498]) ).
fof(f1084,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1088,plain,
( c_HOL_Oord__class_Oless(v_e,v_e,tc_RealDef_Oreal)
| ~ spl0_20 ),
inference(superposition,[],[f498,f1069]) ).
fof(f1109,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1088,f451]) ).
fof(f1110,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f1109]) ).
cnf(s5,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f774]) ).
cnf(s9,plain,
spl0_5,
inference(sat_conversion,[],[f1028]) ).
cnf(s12,plain,
( ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s17,plain,
( ~ spl0_10
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s18,plain,
spl0_19,
inference(sat_conversion,[],[f1084]) ).
cnf(s23,plain,
~ spl0_20,
inference(sat_conversion,[],[f1110]) ).
cnf(s24,plain,
~ spl0_10,
inference(rat,[],[s17,s23,s18]) ).
cnf(s26,plain,
spl0_9,
inference(rat,[],[s12,s9]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s5,s24,s26]) ).
fof(f1112,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG370-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.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 20:14:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.19/1.14 % (2584810)Input is clausal, will run a generic CNF schedule.
% 2.19/1.14 % (2584815)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4215102118:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.19/1.14 % (2584816)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=433501610:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.19/1.14 % (2584820)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=837803659:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.19/1.14 % (2584818)lrs+10_1_sil=8000:sp=occurrence:random_seed=3486030128:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.19/1.14 % (2584821)dis-21_1_sil=8000:lcm=predicate:random_seed=1719127015:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.19/1.14 % (2584819)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3766256770:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.19/1.14 % (2584817)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3675400189:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.19/1.14 % (2584820)First to succeed.
% 2.19/1.14 % (2584820)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2584810"
% 2.19/1.14 % (2584821)Instruction limit reached!
% 2.19/1.14 % (2584821)------------------------------
% 2.19/1.14 % (2584821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.14 % (2584821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.14 % (2584821)CaDiCaL version: 2.1.3
% 2.19/1.14 % (2584821)Termination reason: Instruction limit
% 2.19/1.14 % (2584821)Termination phase: Saturation
% 2.19/1.14 % (2584821)Time elapsed: 0.061 s
% 2.19/1.14 % (2584821)Peak memory usage: 89 MB
% 2.19/1.14 % (2584821)Instructions burned: 117 (million)
% 2.19/1.14 % (2584819)Instruction limit reached!
% 2.19/1.14 % (2584819)------------------------------
% 2.19/1.14 % (2584819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.14 % (2584819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.14 % (2584819)CaDiCaL version: 2.1.3
% 2.19/1.14 % (2584819)Termination reason: Instruction limit
% 2.19/1.14 % (2584819)Termination phase: Saturation
% 2.19/1.14 % (2584819)Time elapsed: 0.065 s
% 2.19/1.14 % (2584819)Peak memory usage: 89 MB
% 2.19/1.14 % (2584819)Instructions burned: 115 (million)
% 2.19/1.14 % (2584818)Instruction limit reached!
% 2.19/1.14 % (2584818)------------------------------
% 2.19/1.14 % (2584818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.14 % (2584818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.14 % (2584818)CaDiCaL version: 2.1.3
% 2.19/1.14 % (2584818)Termination reason: Instruction limit
% 2.19/1.14 % (2584818)Termination phase: Saturation
% 2.19/1.14 % (2584818)Time elapsed: 0.072 s
% 2.19/1.14 % (2584818)Peak memory usage: 89 MB
% 2.19/1.14 % (2584818)Instructions burned: 108 (million)
% 2.19/1.14 % (2584829)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=198133624:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.19/1.14 % (2584830)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=40118495:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.19/1.14 % (2584829)Refutation not found, incomplete strategy
% 2.19/1.14 % (2584829)------------------------------
% 2.19/1.14 % (2584829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.19/1.14 % (2584829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/1.14 % (2584829)CaDiCaL version: 2.1.3
% 2.19/1.14 % (2584829)Termination reason: Refutation not found, incomplete strategy
% 2.19/1.14 % (2584829)Time elapsed: 0.005 s
% 2.19/1.14 % (2584829)Peak memory usage: 88 MB
% 2.19/1.14 % (2584829)Instructions burned: 6 (million)
% 2.19/1.14 % (2584831)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2049259465:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.19/1.14 % (2584820)Refutation found. Thanks to Tanya!
% 2.19/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.19/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.33 % (2584820)------------------------------
% 3.91/1.33 % (2584820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.33 % (2584820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.33 % (2584820)CaDiCaL version: 2.1.3
% 3.91/1.33 % (2584820)Termination reason: Refutation
% 3.91/1.33 % (2584820)Time elapsed: 0.029 s
% 3.91/1.33 % (2584820)Peak memory usage: 90 MB
% 3.91/1.33 % (2584820)Instructions burned: 43 (million)
% 3.91/1.33 % (2584820)------------------------------
% 3.91/1.33 % (2584820)------------------------------
% 3.91/1.33 % (2584810)Success in time 0.478 s
% 3.91/1.33 % Vampire exiting
%------------------------------------------------------------------------------