%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP039-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:27 AM UTC 2026
% Result : Unsatisfiable 1.61s 0.70s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 99 ( 33 unt; 4 def)
% Number of atoms : 207 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 186 ( 78 ~; 104 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',associativity2) ).
fof(f9,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_inverse) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-1.ax',closure_of_product) ).
fof(f11,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f12,axiom,
! [X0,X1] :
( product(X0,element_in_O2(X0,X1),X1)
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f13,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f14,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f15,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f16,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
fof(f17,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f6,f5]) ).
fof(f24,plain,
! [X0] : multiply(identity,X0) = X0,
inference(resolution,[],[f17,f5]) ).
fof(f45,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f4,f19]) ).
fof(f72,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(d) ),
inference(resolution,[],[f10,f15]) ).
fof(f73,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f72,f16]) ).
fof(f78,definition,
( spl0_1
<=> subgroup_member(a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f80,plain,
( ~ subgroup_member(a)
| spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl0_2
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f83,plain,
( subgroup_member(c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( ~ subgroup_member(c)
| spl0_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f73,f82,f78]) ).
fof(f87,definition,
( spl0_3
<=> subgroup_member(inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f88,plain,
( subgroup_member(inverse(a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( ~ subgroup_member(inverse(a))
| spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f120,plain,
( ~ subgroup_member(inverse(a))
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[],[f10,f14]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f7,f1]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X0,X4)
| ~ product(X0,X1,X2)
| product(X3,X2,multiply(X4,X1)) ),
inference(resolution,[],[f7,f5]) ).
fof(f425,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,identity)
| ~ product(X2,X0,X3)
| product(X3,X1,X2) ),
inference(resolution,[],[f8,f2]) ).
fof(f447,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,c)
| ~ product(a,X0,X2)
| product(X2,X1,d) ),
inference(resolution,[],[f8,f15]) ).
fof(f462,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| product(X1,element_in_O2(X0,c),d)
| subgroup_member(c)
| subgroup_member(X0) ),
inference(resolution,[],[f447,f12]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ product(a,X0,X1)
| product(X1,element_in_O2(X0,c),d)
| subgroup_member(X0) )
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f462,f84]) ).
fof(f696,definition,
( spl0_13
<=> product(inverse(b),c,inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f697,plain,
( ~ product(inverse(b),c,inverse(a))
| spl0_13 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f698,plain,
( product(inverse(b),c,inverse(a))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f847,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(inverse(X0),X2,X1) ),
inference(resolution,[],[f140,f3]) ).
fof(f1424,plain,
( product(identity,element_in_O2(inverse(a),c),d)
| subgroup_member(inverse(a))
| spl0_2 ),
inference(resolution,[],[f463,f4]) ).
fof(f1462,plain,
( product(identity,element_in_O2(inverse(a),c),d)
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1424,f89]) ).
fof(f1465,plain,
( d = element_in_O2(inverse(a),c)
| spl0_2
| spl0_3 ),
inference(resolution,[],[f1462,f17]) ).
fof(f1479,plain,
( subgroup_member(d)
| subgroup_member(c)
| subgroup_member(inverse(a))
| spl0_2
| spl0_3 ),
inference(superposition,[],[f11,f1465]) ).
fof(f1480,plain,
( subgroup_member(c)
| subgroup_member(inverse(a))
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1479,f16]) ).
fof(f1482,plain,
( subgroup_member(inverse(a))
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1480,f84]) ).
fof(f1484,plain,
( $false
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1482,f89]) ).
fof(f1485,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1488,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f120,f13]) ).
fof(f1518,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1488,f87,f82]) ).
fof(f2565,plain,
! [X0,X1] :
( ~ product(inverse(a),X0,X1)
| product(b,X1,multiply(c,X0)) ),
inference(resolution,[],[f145,f14]) ).
fof(f2572,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(a,X1,multiply(d,X0)) ),
inference(resolution,[],[f145,f15]) ).
fof(f2953,plain,
! [X0] : product(a,multiply(c,X0),multiply(d,X0)),
inference(resolution,[],[f2572,f5]) ).
fof(f3012,plain,
product(a,multiply(c,inverse(d)),identity),
inference(superposition,[],[f2953,f45]) ).
fof(f3016,plain,
! [X0,X1] :
( ~ product(X0,a,X1)
| product(X1,multiply(c,inverse(d)),X0) ),
inference(resolution,[],[f3012,f425]) ).
fof(f3148,plain,
product(b,identity,multiply(c,a)),
inference(resolution,[],[f2565,f3]) ).
fof(f3163,plain,
b = multiply(c,a),
inference(resolution,[],[f3148,f18]) ).
fof(f3178,plain,
product(c,a,b),
inference(superposition,[],[f5,f3163]) ).
fof(f3188,plain,
! [X0,X1] :
( product(c,X1,multiply(b,X0))
| ~ product(a,X0,X1) ),
inference(resolution,[],[f3178,f145]) ).
fof(f3458,plain,
! [X0] :
( ~ product(a,X0,identity)
| c = multiply(b,X0) ),
inference(resolution,[],[f3188,f18]) ).
fof(f3499,plain,
c = multiply(b,multiply(c,inverse(d))),
inference(resolution,[],[f3458,f3012]) ).
fof(f3504,plain,
product(b,multiply(c,inverse(d)),c),
inference(superposition,[],[f5,f3499]) ).
fof(f3763,plain,
product(identity,multiply(c,inverse(d)),inverse(a)),
inference(resolution,[],[f3016,f3]) ).
fof(f3764,plain,
! [X0] : product(multiply(X0,a),multiply(c,inverse(d)),X0),
inference(resolution,[],[f3016,f5]) ).
fof(f3775,plain,
inverse(a) = multiply(c,inverse(d)),
inference(resolution,[],[f3763,f17]) ).
fof(f3836,plain,
! [X0] : product(multiply(X0,a),inverse(a),X0),
inference(forward_demodulation,[],[f3764,f3775]) ).
fof(f3847,plain,
! [X0,X1] :
( ~ product(inverse(a),X0,X1)
| product(multiply(identity,a),X1,X0) ),
inference(resolution,[],[f3836,f140]) ).
fof(f3870,plain,
! [X0,X1] :
( ~ product(inverse(a),X0,X1)
| product(a,X1,X0) ),
inference(forward_demodulation,[],[f3847,f24]) ).
fof(f3917,plain,
product(a,identity,inverse(inverse(a))),
inference(resolution,[],[f3870,f4]) ).
fof(f3935,plain,
a = inverse(inverse(a)),
inference(resolution,[],[f3917,f18]) ).
fof(f3961,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(a)) ),
inference(superposition,[],[f9,f3935]) ).
fof(f3971,plain,
( ~ subgroup_member(inverse(a))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f3961,f80]) ).
fof(f3974,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3971,f88]) ).
fof(f3975,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f3974]) ).
fof(f4087,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(inverse(b))
| subgroup_member(inverse(a))
| ~ spl0_13 ),
inference(resolution,[],[f698,f10]) ).
fof(f4091,plain,
( ~ subgroup_member(inverse(b))
| subgroup_member(inverse(a))
| ~ spl0_2
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4087,f83]) ).
fof(f4093,plain,
( ~ subgroup_member(inverse(b))
| ~ spl0_2
| spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4091,f89]) ).
fof(f4094,plain,
( ~ subgroup_member(b)
| ~ spl0_2
| spl0_3
| ~ spl0_13 ),
inference(resolution,[],[f4093,f9]) ).
fof(f4105,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4094,f13]) ).
fof(f4106,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4105]) ).
fof(f4755,plain,
product(inverse(b),c,multiply(c,inverse(d))),
inference(resolution,[],[f847,f3504]) ).
fof(f4793,plain,
product(inverse(b),c,inverse(a)),
inference(forward_demodulation,[],[f4755,f3775]) ).
fof(f4823,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f4793,f697]) ).
fof(f4824,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f4823]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f85]) ).
cnf(s33,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s42,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s74,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f3975]) ).
cnf(s89,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_13 ),
inference(sat_conversion,[],[f4106]) ).
cnf(s97,plain,
spl0_13,
inference(sat_conversion,[],[f4824]) ).
cnf(s99,plain,
( ~ spl0_2
| spl0_3 ),
inference(rat,[],[s89,s97]) ).
cnf(s116,plain,
spl0_3,
inference(rat,[],[s33,s99]) ).
cnf(s119,plain,
spl0_1,
inference(rat,[],[s74,s116]) ).
cnf(s121,plain,
spl0_2,
inference(rat,[],[s42,s116]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s1,s121,s119]) ).
fof(f4832,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP039-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:18:57 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.61/0.70 % (2561566)Will run a generic schedule for satisfiability detection.
% 1.61/0.70 % (2561574)dis+10_1_sil=32000:sp=arity:random_seed=269163668:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.61/0.70 % (2561572)% WARNING: option uhcvi not known.
% 1.61/0.70 % (2561571)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3681273532_2999 on theBenchmark for (2999ds/0Mi)
% 1.61/0.70 % (2561572)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=854237104:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.61/0.70 % (2561573)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4220121054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.61/0.70 % (2561575)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1601346912:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.61/0.70 % (2561577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=335427967:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.61/0.70 % (2561576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3059963502:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.61/0.70 % TRYING [1]
% 1.61/0.70 % TRYING [2]
% 1.61/0.70 % TRYING [3]
% 1.61/0.70 % TRYING [4]
% 1.61/0.70 % TRYING [5]
% 1.61/0.70 % (2561574)Instruction limit reached!
% 1.61/0.70 % (2561574)------------------------------
% 1.61/0.70 % (2561574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561574)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561574)Termination reason: Instruction limit
% 1.61/0.70 % (2561574)Termination phase: Saturation
% 1.61/0.70 % (2561574)Time elapsed: 0.038 s
% 1.61/0.70 % (2561574)Peak memory usage: 12 MB
% 1.61/0.70 % (2561574)Instructions burned: 104 (million)
% 1.61/0.70 % TRYING [6]
% 1.61/0.70 % (2561585)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=592854780:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.61/0.70 % TRYING [1]
% 1.61/0.70 % TRYING [2]
% 1.61/0.70 % TRYING [3]
% 1.61/0.70 % TRYING [4]
% 1.61/0.70 % TRYING [5]
% 1.61/0.70 % TRYING [6]
% 1.61/0.70 % (2561575)Instruction limit reached!
% 1.61/0.70 % (2561575)------------------------------
% 1.61/0.70 % (2561575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561575)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561575)Termination reason: Instruction limit
% 1.61/0.70 % (2561575)Termination phase: Saturation
% 1.61/0.70 % (2561575)Time elapsed: 0.067 s
% 1.61/0.70 % (2561575)Peak memory usage: 12 MB
% 1.61/0.70 % (2561575)Instructions burned: 116 (million)
% 1.61/0.70 % TRYING [7]
% 1.61/0.70 % (2561576)Instruction limit reached!
% 1.61/0.70 % (2561576)------------------------------
% 1.61/0.70 % (2561576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561576)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561576)Termination reason: Instruction limit
% 1.61/0.70 % (2561576)Termination phase: Saturation
% 1.61/0.70 % (2561576)Time elapsed: 0.080 s
% 1.61/0.70 % (2561576)Peak memory usage: 12 MB
% 1.61/0.70 % (2561576)Instructions burned: 140 (million)
% 1.61/0.70 % (2561587)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3061759679:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.61/0.70 % TRYING [7]
% 1.61/0.70 % (2561588)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=2279646370:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.61/0.70 % (2561577)Instruction limit reached!
% 1.61/0.70 % (2561577)------------------------------
% 1.61/0.70 % (2561577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561577)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561577)Termination reason: Instruction limit
% 1.61/0.70 % (2561577)Termination phase: Saturation
% 1.61/0.70 % (2561577)Time elapsed: 0.103 s
% 1.61/0.70 % (2561577)Peak memory usage: 14 MB
% 1.61/0.70 % (2561577)Instructions burned: 159 (million)
% 1.61/0.70 % (2561591)ott-21_1_sil=16000:fs=off:random_seed=1703366899:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.61/0.70 % TRYING [8]
% 1.61/0.70 % (2561587)Instruction limit reached!
% 1.61/0.70 % (2561587)------------------------------
% 1.61/0.70 % (2561587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561587)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561587)Termination reason: Instruction limit
% 1.61/0.70 % (2561587)Termination phase: Saturation
% 1.61/0.70 % (2561587)Time elapsed: 0.086 s
% 1.61/0.70 % (2561587)Peak memory usage: 13 MB
% 1.61/0.70 % (2561587)Instructions burned: 133 (million)
% 1.61/0.70 % (2561585)Instruction limit reached!
% 1.61/0.70 % (2561585)------------------------------
% 1.61/0.70 % (2561585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561585)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561585)Termination reason: Instruction limit
% 1.61/0.70 % (2561585)Termination phase: Finite model building constraint generation
% 1.61/0.70 % (2561585)Time elapsed: 0.138 s
% 1.61/0.70 % (2561585)Peak memory usage: 25 MB
% 1.61/0.70 % (2561585)Instructions burned: 719 (million)
% 1.61/0.70 % (2561594)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3123380782:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.61/0.70 % TRYING [1]
% 1.61/0.70 % TRYING [2]
% 1.61/0.70 % TRYING [3]
% 1.61/0.70 % (2561593)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=166575682:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.61/0.70 % TRYING [4]
% 1.61/0.70 % TRYING [5]
% 1.61/0.70 % (2561591)Instruction limit reached!
% 1.61/0.70 % (2561591)------------------------------
% 1.61/0.70 % (2561591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561591)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561591)Termination reason: Instruction limit
% 1.61/0.70 % (2561591)Termination phase: Saturation
% 1.61/0.70 % (2561591)Time elapsed: 0.086 s
% 1.61/0.70 % (2561591)Peak memory usage: 12 MB
% 1.61/0.70 % (2561591)Instructions burned: 180 (million)
% 1.61/0.70 % TRYING [6]
% 1.61/0.70 % (2561588) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2561566-2561588"...
% 1.61/0.70 % (2561588)...printing done.
% 1.61/0.70 % (2561588)Refutation found. Thanks to Tanya!
% 1.61/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.61/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.70 % (2561588)------------------------------
% 1.61/0.70 % (2561588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.61/0.70 % (2561588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/0.70 % (2561588)CaDiCaL version: 2.1.3
% 1.61/0.70 % (2561588)Termination reason: Refutation
% 1.61/0.70 % (2561588)Time elapsed: 0.123 s
% 1.61/0.70 % (2561588)Peak memory usage: 14 MB
% 1.61/0.70 % (2561588)Instructions burned: 185 (million)
% 1.61/0.70 % (2561566)Success in time 0.272 s
% 1.61/0.70 % Vampire exiting
%------------------------------------------------------------------------------