%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n002.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 10:12:12 AM UTC 2026
% Result : Unsatisfiable 6.33s 1.95s
% Output : Refutation 7.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 82 ( 31 unt; 4 def)
% Number of atoms : 155 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 127 ( 54 ~; 70 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',associativity1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f9,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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,definition,
sF0 = inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
inverse(a) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
product(b,sF0,c),
inference(definition_folding,[],[f14,f18]) ).
fof(f20,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a)
| subgroup_member(d) ),
inference(resolution,[],[f10,f15]) ).
fof(f21,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f20,f16]) ).
fof(f23,definition,
( spl1_1
<=> subgroup_member(a) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f24,plain,
( subgroup_member(a)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f25,plain,
( ~ subgroup_member(a)
| spl1_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f27,definition,
( spl1_2
<=> subgroup_member(c) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f30,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f21,f27,f23]) ).
fof(f31,plain,
( ~ subgroup_member(sF0)
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[],[f19,f10]) ).
fof(f32,plain,
( ~ subgroup_member(sF0)
| subgroup_member(c) ),
inference(forward_subsumption_resolution,[],[f31,f13]) ).
fof(f34,definition,
( spl1_3
<=> subgroup_member(sF0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f36,plain,
( ~ subgroup_member(sF0)
| spl1_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f32,f34,f27]) ).
fof(f39,plain,
product(sF0,a,identity),
inference(superposition,[],[f3,f18]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f1,f7]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f5,f6]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X3),X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X4) ),
inference(resolution,[],[f5,f8]) ).
fof(f82,plain,
! [X0] : multiply(X0,identity) = X0,
inference(resolution,[],[f77,f2]) ).
fof(f84,plain,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
inference(resolution,[],[f77,f12]) ).
fof(f86,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(resolution,[],[f77,f3]) ).
fof(f92,plain,
! [X0] :
( subgroup_member(X0)
| multiply(d,element_in_O2(d,X0)) = X0 ),
inference(resolution,[],[f84,f16]) ).
fof(f99,plain,
identity = multiply(sF0,a),
inference(superposition,[],[f86,f18]) ).
fof(f128,plain,
! [X2,X0,X1] :
( product(inverse(X0),X2,X1)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f68,f3]) ).
fof(f130,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| product(sF0,X1,X0) ),
inference(resolution,[],[f68,f39]) ).
fof(f137,plain,
product(sF0,d,c),
inference(resolution,[],[f130,f15]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(inverse(X0),X2) = X1 ),
inference(resolution,[],[f128,f77]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| ~ subgroup_member(X2)
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(resolution,[],[f128,f10]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(resolution,[],[f155,f5]) ).
fof(f168,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(resolution,[],[f155,f3]) ).
fof(f173,plain,
a = multiply(inverse(sF0),identity),
inference(resolution,[],[f155,f39]) ).
fof(f175,plain,
a = inverse(sF0),
inference(forward_demodulation,[],[f173,f82]) ).
fof(f178,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f168,f82]) ).
fof(f183,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(superposition,[],[f9,f178]) ).
fof(f185,plain,
! [X0,X1] :
( ~ subgroup_member(multiply(X0,X1))
| ~ subgroup_member(inverse(X0))
| subgroup_member(X1) ),
inference(resolution,[],[f159,f5]) ).
fof(f256,plain,
( ~ subgroup_member(a)
| subgroup_member(sF0) ),
inference(superposition,[],[f183,f175]) ).
fof(f475,plain,
( subgroup_member(sF0)
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f256,f24]) ).
fof(f481,plain,
( $false
| ~ spl1_1
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f475,f36]) ).
fof(f482,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f496,plain,
( a = multiply(d,element_in_O2(d,a))
| spl1_1 ),
inference(resolution,[],[f25,f92]) ).
fof(f743,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f78,f5]) ).
fof(f790,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,multiply(X1,X3)) = multiply(X2,X3) ),
inference(resolution,[],[f743,f77]) ).
fof(f855,plain,
! [X0] : multiply(b,multiply(sF0,X0)) = multiply(c,X0),
inference(resolution,[],[f790,f19]) ).
fof(f862,plain,
! [X0] : multiply(c,X0) = multiply(sF0,multiply(d,X0)),
inference(resolution,[],[f790,f137]) ).
fof(f926,plain,
multiply(c,a) = multiply(b,identity),
inference(superposition,[],[f855,f99]) ).
fof(f941,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f926,f82]) ).
fof(f949,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(inverse(c))
| subgroup_member(a) ),
inference(superposition,[],[f185,f941]) ).
fof(f952,plain,
( ~ subgroup_member(inverse(c))
| subgroup_member(a) ),
inference(forward_subsumption_resolution,[],[f949,f13]) ).
fof(f953,plain,
( ~ subgroup_member(inverse(c))
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f952,f25]) ).
fof(f954,plain,
( multiply(sF0,a) = multiply(c,element_in_O2(d,a))
| spl1_1 ),
inference(superposition,[],[f862,f496]) ).
fof(f974,plain,
( identity = multiply(c,element_in_O2(d,a))
| spl1_1 ),
inference(forward_demodulation,[],[f954,f99]) ).
fof(f982,plain,
( element_in_O2(d,a) = multiply(inverse(c),identity)
| spl1_1 ),
inference(superposition,[],[f163,f974]) ).
fof(f988,plain,
( inverse(c) = element_in_O2(d,a)
| spl1_1 ),
inference(forward_demodulation,[],[f982,f82]) ).
fof(f998,plain,
( subgroup_member(inverse(c))
| subgroup_member(a)
| subgroup_member(d)
| spl1_1 ),
inference(superposition,[],[f11,f988]) ).
fof(f999,plain,
( subgroup_member(a)
| subgroup_member(d)
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f998,f953]) ).
fof(f1004,plain,
( subgroup_member(d)
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f999,f25]) ).
fof(f1009,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f1004,f16]) ).
fof(f1010,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f1009]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f37]) ).
cnf(s7,plain,
( ~ spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f482]) ).
cnf(s8,plain,
spl1_1,
inference(sat_conversion,[],[f1010]) ).
cnf(s9,plain,
spl1_3,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
spl1_2,
inference(rat,[],[s2,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s8]) ).
fof(f1011,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:18:52 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.33/1.95 % (3267111)Input is clausal, will run a generic CNF schedule.
% 6.33/1.95 % (3267136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3699153489:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.33/1.95 % (3267137)dis-21_1_sil=8000:lcm=predicate:random_seed=4037668289: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)
% 6.33/1.95 % (3267133)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1863250105:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.33/1.95 % (3267134)lrs+10_1_sil=8000:sp=occurrence:random_seed=800951395:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.33/1.95 % (3267132)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2698301222:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.33/1.95 % (3267131)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=2566005804:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.33/1.95 % (3267135)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=496891072:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.33/1.95 % (3267137)Instruction limit reached!
% 6.33/1.95 % (3267137)------------------------------
% 6.33/1.95 % (3267137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267137)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267137)Termination reason: Instruction limit
% 6.33/1.95 % (3267137)Termination phase: Saturation
% 6.33/1.95 % (3267137)Time elapsed: 0.029 s
% 6.33/1.95 % (3267137)Peak memory usage: 87 MB
% 6.33/1.95 % (3267137)Instructions burned: 121 (million)
% 6.33/1.95 % (3267135)Instruction limit reached!
% 6.33/1.95 % (3267135)------------------------------
% 6.33/1.95 % (3267135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267135)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267135)Termination reason: Instruction limit
% 6.33/1.95 % (3267135)Termination phase: Saturation
% 6.33/1.95 % (3267135)Time elapsed: 0.059 s
% 6.33/1.95 % (3267135)Peak memory usage: 88 MB
% 6.33/1.95 % (3267135)Instructions burned: 114 (million)
% 6.33/1.95 % (3267136)Instruction limit reached!
% 6.33/1.95 % (3267136)------------------------------
% 6.33/1.95 % (3267136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267136)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267136)Termination reason: Instruction limit
% 6.33/1.95 % (3267136)Termination phase: Saturation
% 6.33/1.95 % (3267136)Time elapsed: 0.112 s
% 6.33/1.95 % (3267136)Peak memory usage: 89 MB
% 6.33/1.95 % (3267136)Instructions burned: 180 (million)
% 6.33/1.95 % (3267134)Instruction limit reached!
% 6.33/1.95 % (3267134)------------------------------
% 6.33/1.95 % (3267134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267134)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267134)Termination reason: Instruction limit
% 6.33/1.95 % (3267134)Termination phase: Saturation
% 6.33/1.95 % (3267134)Time elapsed: 0.069 s
% 6.33/1.95 % (3267134)Peak memory usage: 89 MB
% 6.33/1.95 % (3267134)Instructions burned: 108 (million)
% 6.33/1.95 % (3267146)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=2519619704:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.33/1.95 % (3267146)Instruction limit reached!
% 6.33/1.95 % (3267146)------------------------------
% 6.33/1.95 % (3267146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267146)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267146)Termination reason: Instruction limit
% 6.33/1.95 % (3267146)Termination phase: Saturation
% 6.33/1.95 % (3267146)Time elapsed: 0.054 s
% 6.33/1.95 % (3267146)Peak memory usage: 89 MB
% 6.33/1.95 % (3267146)Instructions burned: 146 (million)
% 6.33/1.95 % (3267149)lrs+10_64_to=lpo:sil=8000:random_seed=2805425516:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.33/1.95 % (3267148)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3622123468:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.33/1.95 % (3267147)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3275919039: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)
% 6.33/1.95 % (3267148)Refutation not found, incomplete strategy
% 6.33/1.95 % (3267148)------------------------------
% 6.33/1.95 % (3267148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267148)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267148)Termination reason: Refutation not found, incomplete strategy
% 6.33/1.95 % (3267148)Time elapsed: 0.001 s
% 6.33/1.95 % (3267148)Peak memory usage: 88 MB
% 6.33/1.95 % (3267187)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2094811446:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.33/1.95 % (3267149)Instruction limit reached!
% 6.33/1.95 % (3267149)------------------------------
% 6.33/1.95 % (3267149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267149)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267149)Termination reason: Instruction limit
% 6.33/1.95 % (3267149)Termination phase: Saturation
% 6.33/1.95 % (3267149)Time elapsed: 0.084 s
% 6.33/1.95 % (3267149)Peak memory usage: 89 MB
% 6.33/1.95 % (3267149)Instructions burned: 127 (million)
% 6.33/1.95 % (3267147)Instruction limit reached!
% 6.33/1.95 % (3267147)------------------------------
% 6.33/1.95 % (3267147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267147)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267147)Termination reason: Instruction limit
% 6.33/1.95 % (3267147)Termination phase: Saturation
% 6.33/1.95 % (3267147)Time elapsed: 0.103 s
% 6.33/1.95 % (3267147)Peak memory usage: 89 MB
% 6.33/1.95 % (3267147)Instructions burned: 189 (million)
% 6.33/1.95 % (3267187)Instruction limit reached!
% 6.33/1.95 % (3267187)------------------------------
% 6.33/1.95 % (3267187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267187)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267187)Termination reason: Instruction limit
% 6.33/1.95 % (3267187)Termination phase: Saturation
% 6.33/1.95 % (3267187)Time elapsed: 0.074 s
% 6.33/1.95 % (3267187)Peak memory usage: 89 MB
% 6.33/1.95 % (3267187)Instructions burned: 197 (million)
% 6.33/1.95 % (3267223)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4016513194:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.33/1.95 % (3267237)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1264553052:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.33/1.95 % (3267230)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=62447855:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.33/1.95 % (3267148)------------------------------
% 6.33/1.95 % (3267148)------------------------------
% 6.33/1.95 % (3267237)Instruction limit reached!
% 6.33/1.95 % (3267237)------------------------------
% 6.33/1.95 % (3267237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267237)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267237)Termination reason: Instruction limit
% 6.33/1.95 % (3267237)Termination phase: Saturation
% 6.33/1.95 % (3267237)Time elapsed: 0.029 s
% 6.33/1.95 % (3267237)Peak memory usage: 89 MB
% 6.33/1.95 % (3267237)Instructions burned: 109 (million)
% 6.33/1.95 % (3267223)Instruction limit reached!
% 6.33/1.95 % (3267223)------------------------------
% 6.33/1.95 % (3267223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267223)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267223)Termination reason: Instruction limit
% 6.33/1.95 % (3267223)Termination phase: Saturation
% 6.33/1.95 % (3267223)Time elapsed: 0.115 s
% 6.33/1.95 % (3267223)Peak memory usage: 90 MB
% 6.33/1.95 % (3267223)Instructions burned: 158 (million)
% 6.33/1.95 % (3267267)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1943576403:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.33/1.95 % (3267268)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1427431985:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.33/1.95 % (3267267)Instruction limit reached!
% 6.33/1.95 % (3267267)------------------------------
% 6.33/1.95 % (3267267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267267)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267267)Termination reason: Instruction limit
% 6.33/1.95 % (3267267)Termination phase: Saturation
% 6.33/1.95 % (3267267)Time elapsed: 0.041 s
% 6.33/1.95 % (3267267)Peak memory usage: 89 MB
% 6.33/1.95 % (3267267)Instructions burned: 108 (million)
% 6.33/1.95 % (3267269)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3285011577:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.33/1.95 % (3267277)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2353486741:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.33/1.95 % (3267277)Instruction limit reached!
% 6.33/1.95 % (3267277)------------------------------
% 6.33/1.95 % (3267277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267277)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267277)Termination reason: Instruction limit
% 6.33/1.95 % (3267277)Termination phase: Saturation
% 6.33/1.95 % (3267277)Time elapsed: 0.050 s
% 6.33/1.95 % (3267277)Peak memory usage: 89 MB
% 6.33/1.95 % (3267277)Instructions burned: 136 (million)
% 6.33/1.95 % (3267268)Instruction limit reached!
% 6.33/1.95 % (3267268)------------------------------
% 6.33/1.95 % (3267268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.95 % (3267268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.95 % (3267268)CaDiCaL version: 2.1.3
% 6.33/1.95 % (3267268)Termination reason: Instruction limit
% 6.33/1.95 % (3267268)Termination phase: Saturation
% 6.33/1.95 % (3267268)Time elapsed: 0.158 s
% 6.33/1.95 % (3267268)Peak memory usage: 89 MB
% 6.33/1.95 % (3267268)Instructions burned: 242 (million)
% 6.33/1.95 % (3267131)First to succeed.
% 6.33/1.95 % (3267131)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3267111"
% 6.33/1.95 % (3267280)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3675673151:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.33/1.95 % (3267281)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3913839605:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 6.33/1.95 % (3267131)Refutation found. Thanks to Tanya!
% 6.33/1.95 % SZS status Unsatisfiable for theBenchmark
% 6.33/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 7.94/2.07 % (3267131)------------------------------
% 7.94/2.07 % (3267131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.94/2.07 % (3267131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.94/2.07 % (3267131)CaDiCaL version: 2.1.3
% 7.94/2.07 % (3267131)Termination reason: Refutation
% 7.94/2.07 % (3267131)Time elapsed: 0.734 s
% 7.94/2.07 % (3267131)Peak memory usage: 130 MB
% 7.94/2.07 % (3267131)Instructions burned: 1074 (million)
% 7.94/2.07 % (3267131)------------------------------
% 7.94/2.07 % (3267131)------------------------------
% 7.94/2.07 % (3267111)Success in time 1.036 s
% 7.94/2.07 % Vampire exiting
%------------------------------------------------------------------------------