%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:11:37 PM UTC 2026
% Result : Unsatisfiable 8.31s 2.08s
% Output : Refutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 34 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetrization) ).
fof(f176,negated_conjecture,
symmetrization_of(x) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).
fof(f177,plain,
x = symmetrization_of(x),
inference(reorient_equations,[],[f176]) ).
fof(f178,negated_conjecture,
~ subclass(inverse(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).
fof(f192,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f269,plain,
x = complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f177,f192]) ).
fof(f270,plain,
~ subclass(domain_of(flip(cross_product(x,universal_class))),x),
inference(definition_unfolding,[],[f178,f39]) ).
fof(f277,plain,
member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),domain_of(flip(cross_product(x,universal_class)))),
inference(unit_resulting_resolution,[],[f2,f270]) ).
fof(f278,plain,
~ member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),x),
inference(unit_resulting_resolution,[],[f3,f270]) ).
fof(f280,plain,
! [X0] :
( member(X0,intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))
| ~ member(X0,universal_class)
| member(X0,x) ),
inference(superposition,[],[f25,f269]) ).
fof(f283,plain,
~ member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),complement(domain_of(flip(cross_product(x,universal_class))))),
inference(unit_resulting_resolution,[],[f24,f277]) ).
fof(f288,plain,
member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),universal_class),
inference(unit_resulting_resolution,[],[f1,f277,f4]) ).
fof(f289,plain,
member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))),
inference(unit_resulting_resolution,[],[f280,f278,f288]) ).
fof(f295,plain,
member(not_subclass_element(domain_of(flip(cross_product(x,universal_class))),x),complement(domain_of(flip(cross_product(x,universal_class))))),
inference(unit_resulting_resolution,[],[f22,f289]) ).
fof(f300,plain,
$false,
inference(forward_subsumption_resolution,[],[f295,f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 18:44:41 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 6.49/1.98 % (3138457)Input is clausal, will run a generic CNF schedule.
% 6.49/1.98 % (3138466)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4009749396:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.49/1.98 % (3138465)lrs+10_1_sil=8000:sp=occurrence:random_seed=3696731046:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.49/1.98 % (3138464)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4102533936:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.49/1.98 % (3138467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=378101160:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.49/1.98 % (3138468)dis-21_1_sil=8000:lcm=predicate:random_seed=2024938493: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)
% 6.49/1.98 % (3138463)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4149995312:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.49/1.98 % (3138462)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=233791210:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.49/1.98 % (3138466)Instruction limit reached!
% 6.49/1.98 % (3138466)------------------------------
% 6.49/1.98 % (3138466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.98 % (3138466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.98 % (3138466)CaDiCaL version: 2.1.3
% 6.49/1.98 % (3138466)Termination reason: Instruction limit
% 6.49/1.98 % (3138466)Termination phase: Saturation
% 6.49/1.98 % (3138466)Time elapsed: 0.039 s
% 6.49/1.98 % (3138466)Peak memory usage: 89 MB
% 6.49/1.98 % (3138466)Instructions burned: 116 (million)
% 6.49/1.98 % (3138468)Instruction limit reached!
% 6.49/1.98 % (3138468)------------------------------
% 6.49/1.98 % (3138468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.98 % (3138468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.98 % (3138468)CaDiCaL version: 2.1.3
% 6.49/1.98 % (3138468)Termination reason: Instruction limit
% 6.49/1.98 % (3138468)Termination phase: Saturation
% 6.49/1.98 % (3138468)Time elapsed: 0.067 s
% 6.49/1.98 % (3138468)Peak memory usage: 89 MB
% 6.49/1.98 % (3138468)Instructions burned: 118 (million)
% 6.49/1.98 % (3138465)Instruction limit reached!
% 6.49/1.98 % (3138465)------------------------------
% 6.49/1.98 % (3138465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.98 % (3138465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.98 % (3138465)CaDiCaL version: 2.1.3
% 6.49/1.98 % (3138465)Termination reason: Instruction limit
% 6.49/1.98 % (3138465)Termination phase: Saturation
% 6.49/1.98 % (3138465)Time elapsed: 0.070 s
% 6.49/1.98 % (3138465)Peak memory usage: 89 MB
% 6.49/1.98 % (3138465)Instructions burned: 108 (million)
% 6.49/1.98 % (3138476)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=3127647538:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.49/1.98 % (3138476)Refutation not found, incomplete strategy
% 6.49/1.98 % (3138476)------------------------------
% 6.49/1.98 % (3138476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.98 % (3138476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.98 % (3138476)CaDiCaL version: 2.1.3
% 6.49/1.98 % (3138476)Termination reason: Refutation not found, incomplete strategy
% 6.49/1.98 % (3138476)Time elapsed: 0.001 s
% 6.49/1.98 % (3138476)Peak memory usage: 88 MB
% 6.49/1.98 % (3138476)Instructions burned: 2 (million)
% 6.49/1.98 % (3138467)Instruction limit reached!
% 6.49/1.98 % (3138467)------------------------------
% 6.49/1.98 % (3138467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.98 % (3138467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.98 % (3138467)CaDiCaL version: 2.1.3
% 6.49/1.98 % (3138467)Termination reason: Instruction limit
% 6.49/1.98 % (3138467)Termination phase: Saturation
% 6.49/1.98 % (3138467)Time elapsed: 0.140 s
% 6.49/1.98 % (3138467)Peak memory usage: 90 MB
% 6.49/1.98 % (3138467)Instructions burned: 181 (million)
% 6.49/1.98 % (3138477)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3330127521: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)
% 8.31/2.08 % (3138478)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3538913487:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.31/2.08 % (3138476)------------------------------
% 8.31/2.08 % (3138476)------------------------------
% 8.31/2.08 % (3138480)lrs+10_64_to=lpo:sil=8000:random_seed=1947184668:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.31/2.08 % (3138477)Instruction limit reached!
% 8.31/2.08 % (3138477)------------------------------
% 8.31/2.08 % (3138477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138477)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138477)Termination reason: Instruction limit
% 8.31/2.08 % (3138477)Termination phase: Saturation
% 8.31/2.08 % (3138477)Time elapsed: 0.112 s
% 8.31/2.08 % (3138477)Peak memory usage: 90 MB
% 8.31/2.08 % (3138477)Instructions burned: 190 (million)
% 8.31/2.08 % (3138478)Instruction limit reached!
% 8.31/2.08 % (3138478)------------------------------
% 8.31/2.08 % (3138478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138478)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138478)Termination reason: Instruction limit
% 8.31/2.08 % (3138478)Termination phase: Saturation
% 8.31/2.08 % (3138478)Time elapsed: 0.148 s
% 8.31/2.08 % (3138478)Peak memory usage: 89 MB
% 8.31/2.08 % (3138478)Instructions burned: 220 (million)
% 8.31/2.08 % (3138483)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2421227779:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.31/2.08 % (3138480)Instruction limit reached!
% 8.31/2.08 % (3138480)------------------------------
% 8.31/2.08 % (3138480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138480)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138480)Termination reason: Instruction limit
% 8.31/2.08 % (3138480)Termination phase: Saturation
% 8.31/2.08 % (3138480)Time elapsed: 0.081 s
% 8.31/2.08 % (3138480)Peak memory usage: 89 MB
% 8.31/2.08 % (3138480)Instructions burned: 126 (million)
% 8.31/2.08 % (3138483)Instruction limit reached!
% 8.31/2.08 % (3138483)------------------------------
% 8.31/2.08 % (3138483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138483)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138483)Termination reason: Instruction limit
% 8.31/2.08 % (3138483)Termination phase: Saturation
% 8.31/2.08 % (3138483)Time elapsed: 0.068 s
% 8.31/2.08 % (3138483)Peak memory usage: 90 MB
% 8.31/2.08 % (3138483)Instructions burned: 199 (million)
% 8.31/2.08 % (3138485)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=570729013:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.31/2.08 % (3138488)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=2052312403:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.31/2.08 % (3138487)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1571156412:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.31/2.08 % (3138489)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4110760713:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.31/2.08 % (3138488)Instruction limit reached!
% 8.31/2.08 % (3138488)------------------------------
% 8.31/2.08 % (3138488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138488)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138488)Termination reason: Instruction limit
% 8.31/2.08 % (3138488)Termination phase: Saturation
% 8.31/2.08 % (3138488)Time elapsed: 0.063 s
% 8.31/2.08 % (3138488)Peak memory usage: 89 MB
% 8.31/2.08 % (3138488)Instructions burned: 106 (million)
% 8.31/2.08 % (3138489)Instruction limit reached!
% 8.31/2.08 % (3138489)------------------------------
% 8.31/2.08 % (3138489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138489)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138489)Termination reason: Instruction limit
% 8.31/2.08 % (3138489)Termination phase: Saturation
% 8.31/2.08 % (3138489)Time elapsed: 0.040 s
% 8.31/2.08 % (3138489)Peak memory usage: 89 MB
% 8.31/2.08 % (3138489)Instructions burned: 108 (million)
% 8.31/2.08 % (3138485)Instruction limit reached!
% 8.31/2.08 % (3138485)------------------------------
% 8.31/2.08 % (3138485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138485)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138485)Termination reason: Instruction limit
% 8.31/2.08 % (3138485)Termination phase: Saturation
% 8.31/2.08 % (3138485)Time elapsed: 0.114 s
% 8.31/2.08 % (3138485)Peak memory usage: 91 MB
% 8.31/2.08 % (3138485)Instructions burned: 158 (million)
% 8.31/2.08 % (3138463)First to succeed.
% 8.31/2.08 % (3138463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3138457"
% 8.31/2.08 % (3138462)Also succeeded, but the first one will report.
% 8.31/2.08 % (3138464)Also succeeded, but the first one will report.
% 8.31/2.08 % (3138495)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1860517398:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.31/2.08 % (3138494)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1339830038:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.31/2.08 % (3138496)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2353116248:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.31/2.08 % (3138496)Refutation not found, incomplete strategy
% 8.31/2.08 % (3138496)------------------------------
% 8.31/2.08 % (3138496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138496)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138496)Termination reason: Refutation not found, incomplete strategy
% 8.31/2.08 % (3138496)Time elapsed: 0.002 s
% 8.31/2.08 % (3138496)Peak memory usage: 88 MB
% 8.31/2.08 % (3138496)Instructions burned: 2 (million)
% 8.31/2.08 % (3138494)Instruction limit reached!
% 8.31/2.08 % (3138494)------------------------------
% 8.31/2.08 % (3138494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138494)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138494)Termination reason: Instruction limit
% 8.31/2.08 % (3138494)Termination phase: Saturation
% 8.31/2.08 % (3138494)Time elapsed: 0.168 s
% 8.31/2.08 % (3138494)Peak memory usage: 90 MB
% 8.31/2.08 % (3138494)Instructions burned: 243 (million)
% 8.31/2.08 % (3138463)Refutation found. Thanks to Tanya!
% 8.31/2.08 % SZS status Unsatisfiable for theBenchmark
% 8.31/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 8.31/2.08 % (3138463)------------------------------
% 8.31/2.08 % (3138463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/2.08 % (3138463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/2.08 % (3138463)CaDiCaL version: 2.1.3
% 8.31/2.08 % (3138463)Termination reason: Refutation
% 8.31/2.08 % (3138463)Time elapsed: 0.666 s
% 8.31/2.08 % (3138463)Peak memory usage: 127 MB
% 8.31/2.08 % (3138463)Instructions burned: 992 (million)
% 8.31/2.08 % (3138463)------------------------------
% 8.31/2.08 % (3138463)------------------------------
% 8.31/2.08 % (3138457)Success in time 1.112 s
% 8.31/2.08 % Vampire exiting
%------------------------------------------------------------------------------