%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD008-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:48:58 AM UTC 2026
% Result : Unsatisfiable 4.90s 1.81s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 80 ( 29 unt; 9 def)
% Number of atoms : 168 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 175 ( 87 ~; 84 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f13,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f15,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,definition,
sF0 = add(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f31,plain,
add(a,b) = sF0,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF1 = additive_inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f33,plain,
additive_inverse(sF0) = sF1,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF2 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f35,plain,
additive_inverse(a) = sF2,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF3 = additive_inverse(b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f37,plain,
additive_inverse(b) = sF3,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF4 = add(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f39,plain,
add(sF2,sF3) = sF4,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
~ sum(additive_identity,sF1,sF4),
inference(definition_folding,[],[f29,f39,f37,f35,f33,f31]) ).
fof(f41,plain,
( sum(sF3,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f4,f37]) ).
fof(f42,plain,
sum(sF3,b,additive_identity),
inference(forward_subsumption_resolution,[],[f41,f28]) ).
fof(f43,plain,
( sum(sF2,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f4,f35]) ).
fof(f44,plain,
sum(sF2,a,additive_identity),
inference(forward_subsumption_resolution,[],[f43,f27]) ).
fof(f47,definition,
( spl5_1
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f48,plain,
( defined(sF0)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f49,plain,
( ~ defined(sF0)
| spl5_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f55,plain,
( sum(sF2,sF3,sF4)
| ~ defined(sF2)
| ~ defined(sF3) ),
inference(superposition,[],[f19,f39]) ).
fof(f56,plain,
( sum(a,b,sF0)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f19,f31]) ).
fof(f57,plain,
( sum(a,b,sF0)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f56,f27]) ).
fof(f59,definition,
( spl5_3
<=> defined(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f61,plain,
( ~ defined(sF3)
| spl5_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl5_4
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f64,plain,
( defined(sF2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl5_5
<=> sum(sF2,sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f69,plain,
( sum(sF2,sF3,sF4)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f55,f67,f63,f59]) ).
fof(f71,plain,
sum(a,b,sF0),
inference(forward_subsumption_resolution,[],[f57,f28]) ).
fof(f72,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f5,f4]) ).
fof(f73,plain,
sum(b,sF3,additive_identity),
inference(resolution,[],[f5,f42]) ).
fof(f76,plain,
( defined(sF3)
| ~ defined(b) ),
inference(superposition,[],[f15,f37]) ).
fof(f77,plain,
( defined(sF2)
| ~ defined(a) ),
inference(superposition,[],[f15,f35]) ).
fof(f79,plain,
defined(sF2),
inference(forward_subsumption_resolution,[],[f77,f27]) ).
fof(f80,plain,
( ~ defined(b)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f76,f61]) ).
fof(f81,plain,
spl5_4,
inference(avatar_split_clause,[],[f79,f63]) ).
fof(f82,plain,
( $false
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f80,f28]) ).
fof(f83,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,X0,X3)
| ~ sum(X1,X2,additive_identity)
| ~ defined(X0)
| sum(X1,X3,X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f94,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f3,f5]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,additive_identity,X3)
| ~ sum(X1,X0,X2)
| sum(X2,additive_inverse(X0),X3)
| ~ defined(X0) ),
inference(resolution,[],[f72,f2]) ).
fof(f104,plain,
( ! [X2,X0,X1] :
( ~ sum(X1,sF3,X2)
| ~ sum(X0,X1,sF2)
| sum(X0,X2,sF4) )
| ~ spl5_5 ),
inference(resolution,[],[f69,f1]) ).
fof(f119,plain,
( defined(sF0)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f13,f31]) ).
fof(f120,plain,
( ~ defined(a)
| ~ defined(b)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f119,f49]) ).
fof(f122,plain,
( ~ defined(b)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f120,f27]) ).
fof(f124,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f122,f28]) ).
fof(f125,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f144,plain,
! [X0] :
( ~ sum(X0,a,additive_identity)
| ~ defined(b)
| sum(X0,sF0,b) ),
inference(resolution,[],[f92,f71]) ).
fof(f153,plain,
! [X0] :
( ~ sum(X0,a,additive_identity)
| sum(X0,sF0,b) ),
inference(forward_subsumption_resolution,[],[f144,f28]) ).
fof(f193,plain,
( ! [X0] :
( ~ sum(X0,b,sF2)
| sum(X0,additive_identity,sF4) )
| ~ spl5_5 ),
inference(resolution,[],[f104,f73]) ).
fof(f286,plain,
sum(sF2,sF0,b),
inference(resolution,[],[f153,f44]) ).
fof(f323,plain,
! [X2,X0,X1] :
( sum(X2,additive_inverse(X1),X0)
| ~ sum(X0,X1,X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f99,f94]) ).
fof(f339,plain,
! [X0,X1] :
( sum(X0,sF1,X1)
| ~ sum(X1,sF0,X0)
| ~ defined(sF0)
| ~ defined(X1) ),
inference(superposition,[],[f323,f33]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ sum(X1,sF0,X0)
| sum(X0,sF1,X1)
| ~ defined(X1) )
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f339,f48]) ).
fof(f419,plain,
( sum(b,sF1,sF2)
| ~ defined(sF2)
| ~ spl5_1 ),
inference(resolution,[],[f341,f286]) ).
fof(f422,plain,
( sum(b,sF1,sF2)
| ~ spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f419,f64]) ).
fof(f461,plain,
( sum(sF1,b,sF2)
| ~ spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f422,f5]) ).
fof(f493,plain,
( sum(sF1,additive_identity,sF4)
| ~ spl5_1
| ~ spl5_4
| ~ spl5_5 ),
inference(resolution,[],[f461,f193]) ).
fof(f510,plain,
( sum(additive_identity,sF1,sF4)
| ~ spl5_1
| ~ spl5_4
| ~ spl5_5 ),
inference(resolution,[],[f493,f5]) ).
fof(f511,plain,
( $false
| ~ spl5_1
| ~ spl5_4
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f510,f40]) ).
fof(f512,plain,
( ~ spl5_1
| ~ spl5_4
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f511]) ).
cnf(s2,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_5 ),
inference(sat_conversion,[],[f70]) ).
cnf(s3,plain,
spl5_4,
inference(sat_conversion,[],[f81]) ).
cnf(s4,plain,
spl5_3,
inference(sat_conversion,[],[f83]) ).
cnf(s5,plain,
spl5_1,
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( ~ spl5_1
| ~ spl5_4
| ~ spl5_5 ),
inference(sat_conversion,[],[f512]) ).
cnf(s7,plain,
~ spl5_5,
inference(rat,[],[s6,s5,s3]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s7,s3,s4]) ).
fof(f516,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD008-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:21:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.90/1.81 % (1739712)Input is clausal, will run a generic CNF schedule.
% 4.90/1.81 % (1739723)dis-21_1_sil=8000:lcm=predicate:random_seed=1613510508: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)
% 4.90/1.81 % (1739723)Instruction limit reached!
% 4.90/1.81 % (1739723)------------------------------
% 4.90/1.81 % (1739723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739723)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739723)Termination reason: Instruction limit
% 4.90/1.81 % (1739723)Termination phase: Saturation
% 4.90/1.81 % (1739723)Time elapsed: 0.042 s
% 4.90/1.81 % (1739723)Peak memory usage: 89 MB
% 4.90/1.81 % (1739723)Instructions burned: 118 (million)
% 4.90/1.81 % (1739722)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4222148148:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.90/1.81 % (1739721)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1975190839:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.90/1.81 % (1739717)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=2261004988:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.90/1.81 % (1739720)lrs+10_1_sil=8000:sp=occurrence:random_seed=1690904401:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.90/1.81 % (1739719)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3010481468:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.90/1.81 % (1739718)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3278528598:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.90/1.81 % (1739720)Instruction limit reached!
% 4.90/1.81 % (1739720)------------------------------
% 4.90/1.81 % (1739720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739720)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739720)Termination reason: Instruction limit
% 4.90/1.81 % (1739720)Termination phase: Saturation
% 4.90/1.81 % (1739720)Time elapsed: 0.067 s
% 4.90/1.81 % (1739720)Peak memory usage: 89 MB
% 4.90/1.81 % (1739720)Instructions burned: 108 (million)
% 4.90/1.81 % (1739721)Instruction limit reached!
% 4.90/1.81 % (1739721)------------------------------
% 4.90/1.81 % (1739721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739721)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739721)Termination reason: Instruction limit
% 4.90/1.81 % (1739721)Termination phase: Saturation
% 4.90/1.81 % (1739721)Time elapsed: 0.072 s
% 4.90/1.81 % (1739721)Peak memory usage: 88 MB
% 4.90/1.81 % (1739721)Instructions burned: 115 (million)
% 4.90/1.81 % (1739722)Instruction limit reached!
% 4.90/1.81 % (1739722)------------------------------
% 4.90/1.81 % (1739722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739722)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739722)Termination reason: Instruction limit
% 4.90/1.81 % (1739722)Termination phase: Saturation
% 4.90/1.81 % (1739722)Time elapsed: 0.109 s
% 4.90/1.81 % (1739722)Peak memory usage: 89 MB
% 4.90/1.81 % (1739722)Instructions burned: 181 (million)
% 4.90/1.81 % (1739731)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=2316051407:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.90/1.81 % (1739731)Instruction limit reached!
% 4.90/1.81 % (1739731)------------------------------
% 4.90/1.81 % (1739731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739731)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739731)Termination reason: Instruction limit
% 4.90/1.81 % (1739731)Termination phase: Saturation
% 4.90/1.81 % (1739731)Time elapsed: 0.029 s
% 4.90/1.81 % (1739731)Peak memory usage: 87 MB
% 4.90/1.81 % (1739731)Instructions burned: 148 (million)
% 4.90/1.81 % (1739733)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=869416946:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.90/1.81 % (1739732)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2474455114: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)
% 4.90/1.81 % (1739736)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2359370570:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.90/1.81 % (1739734)lrs+10_64_to=lpo:sil=8000:random_seed=2468294582:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.90/1.81 % (1739732)Instruction limit reached!
% 4.90/1.81 % (1739732)------------------------------
% 4.90/1.81 % (1739732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739732)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739732)Termination reason: Instruction limit
% 4.90/1.81 % (1739732)Termination phase: Saturation
% 4.90/1.81 % (1739732)Time elapsed: 0.096 s
% 4.90/1.81 % (1739732)Peak memory usage: 93 MB
% 4.90/1.81 % (1739732)Instructions burned: 190 (million)
% 4.90/1.81 % (1739736)Instruction limit reached!
% 4.90/1.81 % (1739736)------------------------------
% 4.90/1.81 % (1739736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739736)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739736)Termination reason: Instruction limit
% 4.90/1.81 % (1739736)Termination phase: Saturation
% 4.90/1.81 % (1739736)Time elapsed: 0.067 s
% 4.90/1.81 % (1739736)Peak memory usage: 89 MB
% 4.90/1.81 % (1739736)Instructions burned: 194 (million)
% 4.90/1.81 % (1739734)Instruction limit reached!
% 4.90/1.81 % (1739734)------------------------------
% 4.90/1.81 % (1739734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739734)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739734)Termination reason: Instruction limit
% 4.90/1.81 % (1739734)Termination phase: Saturation
% 4.90/1.81 % (1739734)Time elapsed: 0.073 s
% 4.90/1.81 % (1739734)Peak memory usage: 90 MB
% 4.90/1.81 % (1739734)Instructions burned: 126 (million)
% 4.90/1.81 % (1739733)Instruction limit reached!
% 4.90/1.81 % (1739733)------------------------------
% 4.90/1.81 % (1739733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739733)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739733)Termination reason: Instruction limit
% 4.90/1.81 % (1739733)Termination phase: Saturation
% 4.90/1.81 % (1739733)Time elapsed: 0.132 s
% 4.90/1.81 % (1739733)Peak memory usage: 89 MB
% 4.90/1.81 % (1739733)Instructions burned: 219 (million)
% 4.90/1.81 % (1739742)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=493160822:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.90/1.81 % (1739741)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4046619030:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.90/1.81 % (1739743)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=2797089504:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.90/1.81 % (1739744)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4121529666:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.90/1.81 % (1739743)Instruction limit reached!
% 4.90/1.81 % (1739743)------------------------------
% 4.90/1.81 % (1739743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739743)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739743)Termination reason: Instruction limit
% 4.90/1.81 % (1739743)Termination phase: Saturation
% 4.90/1.81 % (1739743)Time elapsed: 0.054 s
% 4.90/1.81 % (1739743)Peak memory usage: 90 MB
% 4.90/1.81 % (1739743)Instructions burned: 107 (million)
% 4.90/1.81 % (1739744)Instruction limit reached!
% 4.90/1.81 % (1739744)------------------------------
% 4.90/1.81 % (1739744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739744)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739744)Termination reason: Instruction limit
% 4.90/1.81 % (1739744)Termination phase: Saturation
% 4.90/1.81 % (1739744)Time elapsed: 0.046 s
% 4.90/1.81 % (1739744)Peak memory usage: 87 MB
% 4.90/1.81 % (1739744)Instructions burned: 108 (million)
% 4.90/1.81 % (1739741)Instruction limit reached!
% 4.90/1.81 % (1739741)------------------------------
% 4.90/1.81 % (1739741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739741)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739741)Termination reason: Instruction limit
% 4.90/1.81 % (1739741)Termination phase: Saturation
% 4.90/1.81 % (1739741)Time elapsed: 0.108 s
% 4.90/1.81 % (1739741)Peak memory usage: 90 MB
% 4.90/1.81 % (1739741)Instructions burned: 157 (million)
% 4.90/1.81 % (1739749)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2957242248:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 4.90/1.81 % (1739751)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4226122045:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 4.90/1.81 % (1739750)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=58885585:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 4.90/1.81 % (1739717)First to succeed.
% 4.90/1.81 % (1739717)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1739712"
% 4.90/1.81 % (1739718)Also succeeded, but the first one will report.
% 4.90/1.81 % (1739751)Instruction limit reached!
% 4.90/1.81 % (1739751)------------------------------
% 4.90/1.81 % (1739751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739751)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739751)Termination reason: Instruction limit
% 4.90/1.81 % (1739751)Termination phase: Saturation
% 4.90/1.81 % (1739751)Time elapsed: 0.092 s
% 4.90/1.81 % (1739751)Peak memory usage: 89 MB
% 4.90/1.81 % (1739751)Instructions burned: 134 (million)
% 4.90/1.81 % (1739742)Also succeeded, but the first one will report.
% 4.90/1.81 % (1739749)Instruction limit reached!
% 4.90/1.81 % (1739749)------------------------------
% 4.90/1.81 % (1739749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.81 % (1739749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.81 % (1739749)CaDiCaL version: 2.1.3
% 4.90/1.81 % (1739749)Termination reason: Instruction limit
% 4.90/1.81 % (1739749)Termination phase: Saturation
% 4.90/1.81 % (1739749)Time elapsed: 0.153 s
% 4.90/1.81 % (1739749)Peak memory usage: 89 MB
% 4.90/1.81 % (1739749)Instructions burned: 244 (million)
% 4.90/1.81 % (1739755)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1239573149:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 4.90/1.81 % (1739717)Refutation found. Thanks to Tanya!
% 4.90/1.81 % SZS status Unsatisfiable for theBenchmark
% 4.90/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/2.00 % (1739717)------------------------------
% 8.76/2.00 % (1739717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.00 % (1739717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.00 % (1739717)CaDiCaL version: 2.1.3
% 8.76/2.00 % (1739717)Termination reason: Refutation
% 8.76/2.00 % (1739717)Time elapsed: 0.720 s
% 8.76/2.00 % (1739717)Peak memory usage: 128 MB
% 8.76/2.00 % (1739717)Instructions burned: 1029 (million)
% 8.76/2.00 % (1739717)------------------------------
% 8.76/2.00 % (1739717)------------------------------
% 8.76/2.00 % (1739712)Success in time 1.159 s
% 8.76/2.00 % Vampire exiting
%------------------------------------------------------------------------------