%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET221-6 : 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 : n001.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 12:40:33 PM UTC 2026
% Result : Unsatisfiable 6.89s 2.02s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 19 unt; 5 def)
% Number of atoms : 193 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 220 ( 110 ~; 110 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f122,negated_conjecture,
intersection(cross_product(x,y),cross_product(x,z)) != cross_product(x,intersection(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_over_intersection2_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f127]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f127]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f189,definition,
sF0 = cross_product(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f190,plain,
cross_product(x,y) = sF0,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF1 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f192,plain,
cross_product(x,z) = sF1,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF2 = intersection(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f194,plain,
intersection(sF0,sF1) = sF2,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF3 = intersection(y,z),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f196,plain,
intersection(y,z) = sF3,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF4 = cross_product(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f198,plain,
cross_product(x,sF3) = sF4,
inference(reorient_equations,[],[f197]) ).
fof(f199,plain,
sF2 != sF4,
inference(definition_folding,[],[f122,f198,f196,f194,f192,f190]) ).
fof(f200,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF2) ),
inference(superposition,[],[f21,f194]) ).
fof(f201,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f22,f194]) ).
fof(f204,plain,
! [X0] :
( member(X0,z)
| ~ member(X0,sF3) ),
inference(superposition,[],[f22,f196]) ).
fof(f205,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,sF3) ),
inference(superposition,[],[f21,f196]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF4) ),
inference(superposition,[],[f219,f198]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f219,f192]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f219,f190]) ).
fof(f226,plain,
! [X0] :
( ~ member(X0,sF4)
| member(second(X0),sF3)
| ~ member(X0,sF4) ),
inference(superposition,[],[f222,f198]) ).
fof(f229,plain,
! [X0] :
( member(second(X0),sF3)
| ~ member(X0,sF4) ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF4) ),
inference(superposition,[],[f220,f198]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f220,f192]) ).
fof(f235,plain,
! [X0] :
( ~ member(X0,sF4)
| member(first(X0),x)
| ~ member(X0,sF4) ),
inference(superposition,[],[f231,f198]) ).
fof(f238,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF4) ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f242,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f194]) ).
fof(f243,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,z)
| ~ member(X0,y) ),
inference(superposition,[],[f23,f196]) ).
fof(f244,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF1)
| ~ member(not_subclass_element(X0,sF2),sF0)
| subclass(X0,sF2) ),
inference(resolution,[],[f242,f3]) ).
fof(f272,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),y)
| ~ member(X0,sF0) ),
inference(superposition,[],[f224,f190]) ).
fof(f273,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f277,plain,
! [X0] :
( ~ member(X0,sF1)
| member(second(X0),z)
| ~ member(X0,sF1) ),
inference(superposition,[],[f223,f192]) ).
fof(f279,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f277]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,cross_product(X1,X2))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f139]) ).
fof(f289,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF3)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f198]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF3)
| ~ member(first(X0),x)
| member(X0,sF4) ),
inference(superposition,[],[f289,f139]) ).
fof(f304,plain,
! [X0] :
( ~ member(X0,sF1)
| member(first(X0),x)
| ~ member(X0,sF1) ),
inference(superposition,[],[f232,f192]) ).
fof(f306,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f311,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(second(X0),sF3)
| ~ member(first(X0),x)
| member(X0,sF4) ),
inference(superposition,[],[f292,f192]) ).
fof(f314,plain,
! [X0] :
( ~ member(second(X0),sF3)
| ~ member(X0,sF1)
| member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f311,f306]) ).
fof(f316,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF4)
| ~ member(second(X0),z)
| ~ member(second(X0),y) ),
inference(resolution,[],[f314,f243]) ).
fof(f318,plain,
! [X0] :
( ~ member(second(X0),y)
| member(X0,sF4)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f316,f279]) ).
fof(f319,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(resolution,[],[f318,f273]) ).
fof(f322,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF1)
| ~ member(not_subclass_element(X0,sF4),sF0)
| subclass(X0,sF4) ),
inference(resolution,[],[f319,f3]) ).
fof(f324,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF0)
| subclass(X0,sF4)
| ~ member(not_subclass_element(X0,sF4),sF2) ),
inference(resolution,[],[f322,f201]) ).
fof(f327,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),sF2)
| subclass(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f324,f200]) ).
fof(f337,plain,
( subclass(sF2,sF4)
| subclass(sF2,sF4) ),
inference(resolution,[],[f327,f2]) ).
fof(f340,plain,
subclass(sF2,sF4),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f341,plain,
( ~ subclass(sF4,sF2)
| sF2 = sF4 ),
inference(resolution,[],[f340,f7]) ).
fof(f342,plain,
~ subclass(sF4,sF2),
inference(forward_subsumption_resolution,[],[f341,f199]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),z)
| ~ member(first(X0),x)
| member(X0,sF1) ),
inference(superposition,[],[f288,f192]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y)
| ~ member(first(X0),x)
| member(X0,sF0) ),
inference(superposition,[],[f288,f190]) ).
fof(f672,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(second(X0),y)
| ~ member(first(X0),x)
| member(X0,sF0) ),
inference(superposition,[],[f369,f198]) ).
fof(f676,plain,
! [X0] :
( ~ member(second(X0),y)
| ~ member(X0,sF4)
| member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f672,f238]) ).
fof(f681,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF0)
| ~ member(second(X0),sF3) ),
inference(resolution,[],[f676,f205]) ).
fof(f685,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f681,f229]) ).
fof(f728,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(second(X0),z)
| ~ member(first(X0),x)
| member(X0,sF1) ),
inference(superposition,[],[f368,f198]) ).
fof(f732,plain,
! [X0] :
( ~ member(second(X0),z)
| ~ member(X0,sF4)
| member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f728,f238]) ).
fof(f737,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF1)
| ~ member(second(X0),sF3) ),
inference(resolution,[],[f732,f204]) ).
fof(f740,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f737,f229]) ).
fof(f741,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF4)
| ~ member(not_subclass_element(X0,sF2),sF0)
| subclass(X0,sF2) ),
inference(resolution,[],[f740,f244]) ).
fof(f749,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF4)
| subclass(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f741,f685]) ).
fof(f750,plain,
( subclass(sF4,sF2)
| subclass(sF4,sF2) ),
inference(resolution,[],[f749,f2]) ).
fof(f758,plain,
subclass(sF4,sF2),
inference(duplicate_literal_removal,[],[f750]) ).
fof(f759,plain,
$false,
inference(forward_subsumption_resolution,[],[f758,f342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET221-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 01:14:17 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
% 6.89/2.02 % (4129154)Input is clausal, will run a generic CNF schedule.
% 6.89/2.02 % (4129163)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2078213432:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.89/2.02 % (4129163)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129163)------------------------------
% 6.89/2.02 % (4129163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129163)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129163)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129163)Time elapsed: 0.001 s
% 6.89/2.02 % (4129163)Peak memory usage: 88 MB
% 6.89/2.02 % (4129163)Instructions burned: 1 (million)
% 6.89/2.02 % (4129160)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1286879265:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.89/2.02 % (4129165)dis-21_1_sil=8000:lcm=predicate:random_seed=1192226804: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)
% 6.89/2.02 % (4129159)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=528791407:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.89/2.02 % (4129162)lrs+10_1_sil=8000:sp=occurrence:random_seed=2117858941:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.89/2.02 % (4129161)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3799611777:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.89/2.02 % (4129164)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2255770518:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.89/2.02 % (4129162)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129162)------------------------------
% 6.89/2.02 % (4129162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129162)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129162)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129162)Time elapsed: 0.001 s
% 6.89/2.02 % (4129162)Peak memory usage: 87 MB
% 6.89/2.02 % (4129165)Instruction limit reached!
% 6.89/2.02 % (4129165)------------------------------
% 6.89/2.02 % (4129165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129165)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129165)Termination reason: Instruction limit
% 6.89/2.02 % (4129165)Termination phase: Saturation
% 6.89/2.02 % (4129165)Time elapsed: 0.072 s
% 6.89/2.02 % (4129165)Peak memory usage: 89 MB
% 6.89/2.02 % (4129165)Instructions burned: 119 (million)
% 6.89/2.02 % (4129163)------------------------------
% 6.89/2.02 % (4129163)------------------------------
% 6.89/2.02 % (4129164)Instruction limit reached!
% 6.89/2.02 % (4129164)------------------------------
% 6.89/2.02 % (4129164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129164)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129164)Termination reason: Instruction limit
% 6.89/2.02 % (4129164)Termination phase: Saturation
% 6.89/2.02 % (4129164)Time elapsed: 0.135 s
% 6.89/2.02 % (4129164)Peak memory usage: 90 MB
% 6.89/2.02 % (4129164)Instructions burned: 181 (million)
% 6.89/2.02 % (4129173)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=2308454844:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.89/2.02 % (4129173)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129173)------------------------------
% 6.89/2.02 % (4129173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129173)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129173)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129173)Time elapsed: 0.003 s
% 6.89/2.02 % (4129173)Peak memory usage: 88 MB
% 6.89/2.02 % (4129173)Instructions burned: 3 (million)
% 6.89/2.02 % (4129174)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=980873076: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)
% 6.89/2.02 % (4129174)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129174)------------------------------
% 6.89/2.02 % (4129174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129174)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129174)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129174)Time elapsed: 0.006 s
% 6.89/2.02 % (4129174)Peak memory usage: 88 MB
% 6.89/2.02 % (4129174)Instructions burned: 21 (million)
% 6.89/2.02 % (4129162)------------------------------
% 6.89/2.02 % (4129162)------------------------------
% 6.89/2.02 % (4129175)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3477328522:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.89/2.02 % (4129175)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129175)------------------------------
% 6.89/2.02 % (4129175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129175)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129175)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129175)Time elapsed: 0.003 s
% 6.89/2.02 % (4129175)Peak memory usage: 88 MB
% 6.89/2.02 % (4129175)Instructions burned: 3 (million)
% 6.89/2.02 % (4129174)------------------------------
% 6.89/2.02 % (4129174)------------------------------
% 6.89/2.02 % (4129178)lrs+10_64_to=lpo:sil=8000:random_seed=3741201492:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.89/2.02 % (4129173)------------------------------
% 6.89/2.02 % (4129173)------------------------------
% 6.89/2.02 % (4129180)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3581849682:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.89/2.02 % (4129178)Instruction limit reached!
% 6.89/2.02 % (4129178)------------------------------
% 6.89/2.02 % (4129178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129178)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129178)Termination reason: Instruction limit
% 6.89/2.02 % (4129178)Termination phase: Saturation
% 6.89/2.02 % (4129178)Time elapsed: 0.082 s
% 6.89/2.02 % (4129178)Peak memory usage: 89 MB
% 6.89/2.02 % (4129178)Instructions burned: 127 (million)
% 6.89/2.02 % (4129175)------------------------------
% 6.89/2.02 % (4129175)------------------------------
% 6.89/2.02 % (4129180)Instruction limit reached!
% 6.89/2.02 % (4129180)------------------------------
% 6.89/2.02 % (4129180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129180)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129180)Termination reason: Instruction limit
% 6.89/2.02 % (4129180)Termination phase: Saturation
% 6.89/2.02 % (4129180)Time elapsed: 0.065 s
% 6.89/2.02 % (4129180)Peak memory usage: 89 MB
% 6.89/2.02 % (4129180)Instructions burned: 196 (million)
% 6.89/2.02 % (4129182)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1951489157:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.89/2.02 % (4129184)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4215261782:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.89/2.02 % (4129186)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2283507441:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.89/2.02 % (4129186)Refutation not found, incomplete strategy
% 6.89/2.02 % (4129186)------------------------------
% 6.89/2.02 % (4129186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129186)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129186)Termination reason: Refutation not found, incomplete strategy
% 6.89/2.02 % (4129186)Time elapsed: 0.003 s
% 6.89/2.02 % (4129186)Peak memory usage: 88 MB
% 6.89/2.02 % (4129186)Instructions burned: 8 (million)
% 6.89/2.02 % (4129185)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=1140368130:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.89/2.02 % (4129182)Instruction limit reached!
% 6.89/2.02 % (4129182)------------------------------
% 6.89/2.02 % (4129182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129182)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129182)Termination reason: Instruction limit
% 6.89/2.02 % (4129182)Termination phase: Saturation
% 6.89/2.02 % (4129182)Time elapsed: 0.107 s
% 6.89/2.02 % (4129182)Peak memory usage: 91 MB
% 6.89/2.02 % (4129182)Instructions burned: 157 (million)
% 6.89/2.02 % (4129161)First to succeed.
% 6.89/2.02 % (4129161)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4129154"
% 6.89/2.02 % (4129185)Instruction limit reached!
% 6.89/2.02 % (4129185)------------------------------
% 6.89/2.02 % (4129185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129185)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129185)Termination reason: Instruction limit
% 6.89/2.02 % (4129185)Termination phase: Saturation
% 6.89/2.02 % (4129185)Time elapsed: 0.063 s
% 6.89/2.02 % (4129185)Peak memory usage: 90 MB
% 6.89/2.02 % (4129185)Instructions burned: 107 (million)
% 6.89/2.02 % (4129186)------------------------------
% 6.89/2.02 % (4129186)------------------------------
% 6.89/2.02 % (4129191)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=934260071:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 6.89/2.02 % (4129193)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2603765327:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.89/2.02 % (4129192)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2233910099:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.89/2.02 % (4129159)Also succeeded, but the first one will report.
% 6.89/2.02 % (4129193)Instruction limit reached!
% 6.89/2.02 % (4129193)------------------------------
% 6.89/2.02 % (4129193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129193)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129193)Termination reason: Instruction limit
% 6.89/2.02 % (4129193)Termination phase: Saturation
% 6.89/2.02 % (4129193)Time elapsed: 0.053 s
% 6.89/2.02 % (4129193)Peak memory usage: 90 MB
% 6.89/2.02 % (4129193)Instructions burned: 136 (million)
% 6.89/2.02 % (4129191)Instruction limit reached!
% 6.89/2.02 % (4129191)------------------------------
% 6.89/2.02 % (4129191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/2.02 % (4129191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.02 % (4129191)CaDiCaL version: 2.1.3
% 6.89/2.02 % (4129191)Termination reason: Instruction limit
% 6.89/2.02 % (4129191)Termination phase: Saturation
% 6.89/2.02 % (4129191)Time elapsed: 0.168 s
% 6.89/2.02 % (4129191)Peak memory usage: 90 MB
% 6.89/2.02 % (4129191)Instructions burned: 243 (million)
% 6.89/2.02 % (4129161)Refutation found. Thanks to Tanya!
% 6.89/2.02 % SZS status Unsatisfiable for theBenchmark
% 6.89/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.57/2.12 % (4129161)------------------------------
% 8.57/2.12 % (4129161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.12 % (4129161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.12 % (4129161)CaDiCaL version: 2.1.3
% 8.57/2.12 % (4129161)Termination reason: Refutation
% 8.57/2.12 % (4129161)Time elapsed: 0.734 s
% 8.57/2.12 % (4129161)Peak memory usage: 130 MB
% 8.57/2.12 % (4129161)Instructions burned: 1099 (million)
% 8.57/2.12 % (4129161)------------------------------
% 8.57/2.12 % (4129161)------------------------------
% 8.57/2.12 % (4129154)Success in time 1.148 s
% 8.57/2.12 % Vampire exiting
%------------------------------------------------------------------------------