%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD022-1 : 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 : n011.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 09:49:03 AM UTC 2026
% Result : Unsatisfiable 7.14s 1.97s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 18
% Syntax : Number of formulae : 68 ( 17 unt; 4 def)
% Number of atoms : 216 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 300 ( 152 ~; 146 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
equalish(add(a,c),add(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_add_4) ).
fof(f32,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_5) ).
fof(f33,definition,
sF0 = add(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
add(a,c) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF1 = add(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
add(b,c) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
equalish(sF0,sF1),
inference(definition_folding,[],[f31,f36,f34]) ).
fof(f39,plain,
! [X0] :
( ~ equalish(X0,sF0)
| equalish(X0,sF1) ),
inference(resolution,[],[f23,f37]) ).
fof(f40,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X1,X0))
| ~ equalish(X1,X2)
| ~ defined(X0)
| equalish(X3,add(X2,X0)) ),
inference(resolution,[],[f24,f23]) ).
fof(f66,plain,
( defined(sF0)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f10,f34]) ).
fof(f69,plain,
( defined(sF0)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f66,f28]) ).
fof(f71,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f69,f30]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,add(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,add(add(X0,X1),X2)) ),
inference(resolution,[],[f1,f23]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f72,f4]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f95,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f91,f10]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X3)
| equalish(add(add(X1,X3),X0),add(X2,X3))
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f40,f95]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( equalish(add(add(X1,X3),X0),add(X2,X3))
| ~ defined(X3)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f130]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(X4,add(add(X2,X0),X1))
| ~ equalish(add(X1,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X4,add(X3,X0)) ),
inference(resolution,[],[f137,f23]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3)
| equalish(add(add(X3,X0),X1),add(X2,X3))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3) ),
inference(resolution,[],[f145,f95]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( equalish(add(add(X3,X0),X1),add(X2,X3))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X3)
| ~ equalish(add(X0,X1),X2) ),
inference(duplicate_literal_removal,[],[f162]) ).
fof(f476,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f2,f23]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| equalish(add(add(X0,X1),X2),X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(add(X1,X2),additive_identity) ),
inference(resolution,[],[f476,f167]) ).
fof(f499,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity) ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f715,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(add(X0,X1),X2))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f499,f23]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| equalish(add(X3,X1),X2)
| ~ defined(X1)
| ~ equalish(X3,add(X2,X0)) ),
inference(resolution,[],[f715,f24]) ).
fof(f760,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| equalish(add(X3,X1),X2)
| ~ equalish(X3,add(X2,X0)) ),
inference(duplicate_literal_removal,[],[f742]) ).
fof(f771,plain,
! [X2,X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ defined(X0)
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0))
| ~ defined(X0) ),
inference(resolution,[],[f760,f3]) ).
fof(f784,plain,
! [X2,X0,X1] :
( ~ defined(additive_inverse(X0))
| ~ defined(X0)
| ~ defined(X1)
| equalish(add(X2,additive_inverse(X0)),X1)
| ~ equalish(X2,add(X1,X0)) ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f790,plain,
! [X2,X0,X1] :
( equalish(add(X2,additive_inverse(X0)),X1)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f784,f12]) ).
fof(f795,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f790,f23]) ).
fof(f796,plain,
! [X2,X0,X1] :
( equalish(X0,add(X2,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f790,f22]) ).
fof(f837,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,add(X3,X0))
| ~ defined(X3)
| equalish(X2,X3) ),
inference(resolution,[],[f796,f795]) ).
fof(f852,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X1,add(X3,X0))
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X3)
| equalish(X2,X3) ),
inference(duplicate_literal_removal,[],[f837]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ equalish(X0,sF0)
| ~ equalish(X0,add(X1,c))
| ~ defined(X1)
| ~ defined(c)
| ~ defined(a)
| equalish(X1,a) ),
inference(superposition,[],[f852,f34]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ equalish(X0,sF0)
| ~ equalish(X0,add(X1,c))
| ~ defined(X1)
| ~ defined(a)
| equalish(X1,a) ),
inference(forward_subsumption_resolution,[],[f1241,f30]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ equalish(X0,add(X1,c))
| ~ equalish(X0,sF0)
| ~ defined(X1)
| equalish(X1,a) ),
inference(forward_subsumption_resolution,[],[f1255,f28]) ).
fof(f1293,plain,
! [X0] :
( ~ equalish(X0,sF1)
| ~ equalish(X0,sF0)
| ~ defined(b)
| equalish(b,a) ),
inference(superposition,[],[f1273,f36]) ).
fof(f1296,plain,
! [X0] :
( ~ equalish(X0,sF0)
| ~ defined(b)
| equalish(b,a) ),
inference(forward_subsumption_resolution,[],[f1293,f39]) ).
fof(f1307,plain,
! [X0] :
( ~ equalish(X0,sF0)
| equalish(b,a) ),
inference(forward_subsumption_resolution,[],[f1296,f29]) ).
fof(f1314,definition,
( spl2_45
<=> equalish(b,a) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
fof(f1316,plain,
( equalish(b,a)
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1318,definition,
( spl2_46
<=> ! [X0] : ~ equalish(X0,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_46])],[avatar_definition]) ).
fof(f1319,plain,
( ! [X0] : ~ equalish(X0,sF0)
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1320,plain,
( spl2_45
| spl2_46 ),
inference(avatar_split_clause,[],[f1307,f1318,f1314]) ).
fof(f1337,plain,
( equalish(a,b)
| ~ spl2_45 ),
inference(resolution,[],[f1316,f22]) ).
fof(f1338,plain,
( $false
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f1337,f32]) ).
fof(f1339,plain,
~ spl2_45,
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1389,plain,
( ~ defined(sF0)
| ~ spl2_46 ),
inference(resolution,[],[f1319,f2]) ).
fof(f1402,plain,
( $false
| ~ spl2_46 ),
inference(forward_subsumption_resolution,[],[f1389,f71]) ).
fof(f1403,plain,
~ spl2_46,
inference(avatar_contradiction_clause,[],[f1402]) ).
cnf(s30,plain,
( spl2_45
| spl2_46 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s33,plain,
~ spl2_45,
inference(sat_conversion,[],[f1339]) ).
cnf(s37,plain,
~ spl2_46,
inference(sat_conversion,[],[f1403]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s30,s37,s33]) ).
fof(f1404,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD022-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.26 % Computer : n011.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Tue Sep 29 00:23:17 UTC 2026
% 0.12/0.26 % CPUTime :
% 0.12/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.31 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
% 7.14/1.97 % (3947084)Input is clausal, will run a generic CNF schedule.
% 7.14/1.97 % (3947130)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2820681524:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.14/1.97 % (3947129)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=1929474097:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.14/1.97 % (3947131)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1075861110:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.14/1.97 % (3947135)dis-21_1_sil=8000:lcm=predicate:random_seed=1303809645: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)
% 7.14/1.97 % (3947133)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2871595014:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.14/1.97 % (3947132)lrs+10_1_sil=8000:sp=occurrence:random_seed=1758839766:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.14/1.97 % (3947134)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=687307216:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.14/1.97 % (3947133)Instruction limit reached!
% 7.14/1.97 % (3947133)------------------------------
% 7.14/1.97 % (3947133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947133)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947133)Termination reason: Instruction limit
% 7.14/1.97 % (3947133)Termination phase: Saturation
% 7.14/1.97 % (3947133)Time elapsed: 0.067 s
% 7.14/1.97 % (3947133)Peak memory usage: 88 MB
% 7.14/1.97 % (3947133)Instructions burned: 114 (million)
% 7.14/1.97 % (3947132)Instruction limit reached!
% 7.14/1.97 % (3947132)------------------------------
% 7.14/1.97 % (3947132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947132)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947132)Termination reason: Instruction limit
% 7.14/1.97 % (3947132)Termination phase: Saturation
% 7.14/1.97 % (3947132)Time elapsed: 0.060 s
% 7.14/1.97 % (3947132)Peak memory usage: 89 MB
% 7.14/1.97 % (3947132)Instructions burned: 107 (million)
% 7.14/1.97 % (3947135)Instruction limit reached!
% 7.14/1.97 % (3947135)------------------------------
% 7.14/1.97 % (3947135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947135)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947135)Termination reason: Instruction limit
% 7.14/1.97 % (3947135)Termination phase: Saturation
% 7.14/1.97 % (3947135)Time elapsed: 0.079 s
% 7.14/1.97 % (3947135)Peak memory usage: 89 MB
% 7.14/1.97 % (3947135)Instructions burned: 124 (million)
% 7.14/1.97 % (3947134)Instruction limit reached!
% 7.14/1.97 % (3947134)------------------------------
% 7.14/1.97 % (3947134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947134)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947134)Termination reason: Instruction limit
% 7.14/1.97 % (3947134)Termination phase: Saturation
% 7.14/1.97 % (3947134)Time elapsed: 0.118 s
% 7.14/1.97 % (3947134)Peak memory usage: 89 MB
% 7.14/1.97 % (3947134)Instructions burned: 181 (million)
% 7.14/1.97 % (3947196)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1851326682: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)
% 7.14/1.97 % (3947195)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=2927772674:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.14/1.97 % (3947197)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=247488656:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.14/1.97 % (3947203)lrs+10_64_to=lpo:sil=8000:random_seed=2473903454:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.14/1.97 % (3947195)Instruction limit reached!
% 7.14/1.97 % (3947195)------------------------------
% 7.14/1.97 % (3947195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947195)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947195)Termination reason: Instruction limit
% 7.14/1.97 % (3947195)Termination phase: Saturation
% 7.14/1.97 % (3947195)Time elapsed: 0.085 s
% 7.14/1.97 % (3947195)Peak memory usage: 89 MB
% 7.14/1.97 % (3947195)Instructions burned: 143 (million)
% 7.14/1.97 % (3947196)Instruction limit reached!
% 7.14/1.97 % (3947196)------------------------------
% 7.14/1.97 % (3947196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947196)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947196)Termination reason: Instruction limit
% 7.14/1.97 % (3947196)Termination phase: Saturation
% 7.14/1.97 % (3947196)Time elapsed: 0.093 s
% 7.14/1.97 % (3947196)Peak memory usage: 94 MB
% 7.14/1.97 % (3947196)Instructions burned: 190 (million)
% 7.14/1.97 % (3947203)Instruction limit reached!
% 7.14/1.97 % (3947203)------------------------------
% 7.14/1.97 % (3947203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947203)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947203)Termination reason: Instruction limit
% 7.14/1.97 % (3947203)Termination phase: Saturation
% 7.14/1.97 % (3947203)Time elapsed: 0.075 s
% 7.14/1.97 % (3947203)Peak memory usage: 89 MB
% 7.14/1.97 % (3947203)Instructions burned: 127 (million)
% 7.14/1.97 % (3947197)Instruction limit reached!
% 7.14/1.97 % (3947197)------------------------------
% 7.14/1.97 % (3947197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947197)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947197)Termination reason: Instruction limit
% 7.14/1.97 % (3947197)Termination phase: Saturation
% 7.14/1.97 % (3947197)Time elapsed: 0.134 s
% 7.14/1.97 % (3947197)Peak memory usage: 90 MB
% 7.14/1.97 % (3947197)Instructions burned: 219 (million)
% 7.14/1.97 % (3947223)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2988048806:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.14/1.97 % (3947222)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3923230619:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.14/1.97 % (3947239)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2323236936:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.14/1.97 % (3947240)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=1784976692:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.14/1.97 % (3947240)Instruction limit reached!
% 7.14/1.97 % (3947240)------------------------------
% 7.14/1.97 % (3947240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947240)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947240)Termination reason: Instruction limit
% 7.14/1.97 % (3947240)Termination phase: Saturation
% 7.14/1.97 % (3947240)Time elapsed: 0.055 s
% 7.14/1.97 % (3947240)Peak memory usage: 91 MB
% 7.14/1.97 % (3947240)Instructions burned: 107 (million)
% 7.14/1.97 % (3947223)Instruction limit reached!
% 7.14/1.97 % (3947223)------------------------------
% 7.14/1.97 % (3947223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947223)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947223)Termination reason: Instruction limit
% 7.14/1.97 % (3947223)Termination phase: Saturation
% 7.14/1.97 % (3947223)Time elapsed: 0.112 s
% 7.14/1.97 % (3947223)Peak memory usage: 90 MB
% 7.14/1.97 % (3947223)Instructions burned: 158 (million)
% 7.14/1.97 % (3947222)Instruction limit reached!
% 7.14/1.97 % (3947222)------------------------------
% 7.14/1.97 % (3947222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947222)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947222)Termination reason: Instruction limit
% 7.14/1.97 % (3947222)Termination phase: Saturation
% 7.14/1.97 % (3947222)Time elapsed: 0.123 s
% 7.14/1.97 % (3947222)Peak memory usage: 89 MB
% 7.14/1.97 % (3947222)Instructions burned: 194 (million)
% 7.14/1.97 % (3947273)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2405254700:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.14/1.97 % (3947272)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2775715162:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.14/1.97 % (3947274)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=34330636:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.14/1.97 % (3947272)Instruction limit reached!
% 7.14/1.97 % (3947272)------------------------------
% 7.14/1.97 % (3947272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947272)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947272)Termination reason: Instruction limit
% 7.14/1.97 % (3947272)Termination phase: Saturation
% 7.14/1.97 % (3947272)Time elapsed: 0.060 s
% 7.14/1.97 % (3947272)Peak memory usage: 88 MB
% 7.14/1.97 % (3947272)Instructions burned: 107 (million)
% 7.14/1.97 % (3947129)First to succeed.
% 7.14/1.97 % (3947129)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3947084"
% 7.14/1.97 % (3947273)Instruction limit reached!
% 7.14/1.97 % (3947273)------------------------------
% 7.14/1.97 % (3947273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947273)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947273)Termination reason: Instruction limit
% 7.14/1.97 % (3947273)Termination phase: Saturation
% 7.14/1.97 % (3947273)Time elapsed: 0.160 s
% 7.14/1.97 % (3947273)Peak memory usage: 89 MB
% 7.14/1.97 % (3947273)Instructions burned: 243 (million)
% 7.14/1.97 % (3947278)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=928428961:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.14/1.97 % (3947278)Instruction limit reached!
% 7.14/1.97 % (3947278)------------------------------
% 7.14/1.97 % (3947278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.97 % (3947278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.97 % (3947278)CaDiCaL version: 2.1.3
% 7.14/1.97 % (3947278)Termination reason: Instruction limit
% 7.14/1.97 % (3947278)Termination phase: Saturation
% 7.14/1.97 % (3947278)Time elapsed: 0.087 s
% 7.14/1.97 % (3947278)Peak memory usage: 89 MB
% 7.14/1.97 % (3947278)Instructions burned: 135 (million)
% 7.14/1.97 % (3947279)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=93683353:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.14/1.97 % (3947129)Refutation found. Thanks to Tanya!
% 7.14/1.97 % SZS status Unsatisfiable for theBenchmark
% 7.14/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 9.11/2.16 % (3947129)------------------------------
% 9.11/2.16 % (3947129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.16 % (3947129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.16 % (3947129)CaDiCaL version: 2.1.3
% 9.11/2.16 % (3947129)Termination reason: Refutation
% 9.11/2.16 % (3947129)Time elapsed: 0.786 s
% 9.11/2.16 % (3947129)Peak memory usage: 131 MB
% 9.11/2.16 % (3947129)Instructions burned: 1200 (million)
% 9.11/2.16 % (3947129)------------------------------
% 9.11/2.16 % (3947129)------------------------------
% 9.11/2.16 % (3947084)Success in time 1.177 s
% 9.11/2.16 % Vampire exiting
%------------------------------------------------------------------------------