%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET224-6 : 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 12:40:33 PM UTC 2026
% Result : Unsatisfiable 9.03s 2.90s
% Output : Refutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 92 ( 21 unt; 6 def)
% Number of atoms : 222 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 260 ( 130 ~; 130 |; 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 : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f122,negated_conjecture,
intersection(cross_product(w,x),cross_product(y,z)) != cross_product(intersection(w,y),intersection(x,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_double_distribution_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(w,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f190,plain,
cross_product(w,x) = sF0,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF1 = cross_product(y,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f192,plain,
cross_product(y,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(w,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f196,plain,
intersection(w,y) = sF3,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF4 = intersection(x,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f198,plain,
intersection(x,z) = sF4,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF5 = cross_product(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f200,plain,
cross_product(sF3,sF4) = sF5,
inference(reorient_equations,[],[f199]) ).
fof(f201,plain,
sF2 != sF5,
inference(definition_folding,[],[f122,f200,f198,f196,f194,f192,f190]) ).
fof(f202,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF2) ),
inference(superposition,[],[f21,f194]) ).
fof(f203,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f22,f194]) ).
fof(f210,plain,
! [X0] :
( member(X0,z)
| ~ member(X0,sF4) ),
inference(superposition,[],[f22,f198]) ).
fof(f211,plain,
! [X0] :
( member(X0,x)
| ~ member(X0,sF4) ),
inference(superposition,[],[f21,f198]) ).
fof(f212,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,sF3) ),
inference(superposition,[],[f22,f196]) ).
fof(f213,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,sF3) ),
inference(superposition,[],[f21,f196]) ).
fof(f222,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(f223,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(f225,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF5) ),
inference(superposition,[],[f222,f200]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f222,f190]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f222,f192]) ).
fof(f230,plain,
! [X0] :
( ~ member(X0,sF5)
| member(second(X0),sF4)
| ~ member(X0,sF5) ),
inference(superposition,[],[f225,f200]) ).
fof(f233,plain,
! [X0] :
( member(second(X0),sF4)
| ~ member(X0,sF5) ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF5) ),
inference(superposition,[],[f223,f200]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f223,f190]) ).
fof(f241,plain,
! [X0] :
( ~ member(X0,sF5)
| member(first(X0),sF3)
| ~ member(X0,sF5) ),
inference(superposition,[],[f235,f200]) ).
fof(f244,plain,
! [X0] :
( member(first(X0),sF3)
| ~ member(X0,sF5) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f248,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f194]) ).
fof(f249,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,z)
| ~ member(X0,x) ),
inference(superposition,[],[f23,f198]) ).
fof(f250,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,y)
| ~ member(X0,w) ),
inference(superposition,[],[f23,f196]) ).
fof(f251,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF1)
| ~ member(not_subclass_element(X0,sF2),sF0)
| subclass(X0,sF2) ),
inference(resolution,[],[f248,f3]) ).
fof(f279,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),x)
| ~ member(X0,sF0) ),
inference(superposition,[],[f226,f190]) ).
fof(f281,plain,
! [X0] :
( member(second(X0),x)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f286,plain,
! [X0] :
( ~ member(X0,sF1)
| member(second(X0),z)
| ~ member(X0,sF1) ),
inference(superposition,[],[f227,f192]) ).
fof(f287,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f296,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(f304,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),w)
| ~ member(X0,sF0) ),
inference(superposition,[],[f236,f190]) ).
fof(f305,plain,
! [X0] :
( member(first(X0),y)
| ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f236,f192]) ).
fof(f306,plain,
! [X0] :
( member(first(X0),w)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF4)
| ~ member(first(X0),sF3)
| member(X0,sF5) ),
inference(superposition,[],[f296,f200]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),x)
| ~ member(first(X0),w)
| member(X0,sF0) ),
inference(superposition,[],[f296,f190]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),z)
| ~ member(first(X0),y)
| member(X0,sF1) ),
inference(superposition,[],[f296,f192]) ).
fof(f333,plain,
! [X0] :
( ~ member(second(X0),sF4)
| ~ member(X0,sF0)
| ~ member(first(X0),sF3)
| member(X0,sF5) ),
inference(superposition,[],[f325,f190]) ).
fof(f340,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(first(X0),sF3)
| member(X0,sF5)
| ~ member(second(X0),z)
| ~ member(second(X0),x) ),
inference(resolution,[],[f333,f249]) ).
fof(f342,plain,
! [X0] :
( ~ member(second(X0),z)
| ~ member(first(X0),sF3)
| member(X0,sF5)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f340,f281]) ).
fof(f344,plain,
! [X0] :
( ~ member(first(X0),sF3)
| member(X0,sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF1) ),
inference(resolution,[],[f342,f287]) ).
fof(f348,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF1)
| ~ member(first(X0),y)
| ~ member(first(X0),w) ),
inference(resolution,[],[f344,f250]) ).
fof(f350,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF1)
| ~ member(first(X0),w) ),
inference(forward_subsumption_resolution,[],[f348,f305]) ).
fof(f351,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,sF0)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f350,f306]) ).
fof(f352,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF1)
| ~ member(not_subclass_element(X0,sF5),sF0)
| subclass(X0,sF5) ),
inference(resolution,[],[f351,f3]) ).
fof(f354,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF0)
| subclass(X0,sF5)
| ~ member(not_subclass_element(X0,sF5),sF2) ),
inference(resolution,[],[f352,f203]) ).
fof(f357,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF2)
| subclass(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f354,f202]) ).
fof(f367,plain,
( subclass(sF2,sF5)
| subclass(sF2,sF5) ),
inference(resolution,[],[f357,f2]) ).
fof(f370,plain,
subclass(sF2,sF5),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f371,plain,
( ~ subclass(sF5,sF2)
| sF2 = sF5 ),
inference(resolution,[],[f370,f7]) ).
fof(f372,plain,
~ subclass(sF5,sF2),
inference(forward_subsumption_resolution,[],[f371,f201]) ).
fof(f609,plain,
! [X0] :
( ~ member(second(X0),x)
| ~ member(X0,sF5)
| ~ member(first(X0),w)
| member(X0,sF0) ),
inference(superposition,[],[f326,f200]) ).
fof(f615,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(first(X0),w)
| member(X0,sF0)
| ~ member(second(X0),sF4) ),
inference(resolution,[],[f609,f211]) ).
fof(f618,plain,
! [X0] :
( ~ member(first(X0),w)
| ~ member(X0,sF5)
| member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f615,f233]) ).
fof(f623,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF0)
| ~ member(first(X0),sF3) ),
inference(resolution,[],[f618,f213]) ).
fof(f627,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f623,f244]) ).
fof(f639,plain,
! [X0] :
( ~ member(second(X0),z)
| ~ member(X0,sF5)
| ~ member(first(X0),y)
| member(X0,sF1) ),
inference(superposition,[],[f327,f200]) ).
fof(f647,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(first(X0),y)
| member(X0,sF1)
| ~ member(second(X0),sF4) ),
inference(resolution,[],[f639,f210]) ).
fof(f651,plain,
! [X0] :
( ~ member(first(X0),y)
| ~ member(X0,sF5)
| member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f647,f233]) ).
fof(f657,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF1)
| ~ member(first(X0),sF3) ),
inference(resolution,[],[f651,f212]) ).
fof(f661,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f657,f244]) ).
fof(f662,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF5)
| ~ member(not_subclass_element(X0,sF2),sF0)
| subclass(X0,sF2) ),
inference(resolution,[],[f661,f251]) ).
fof(f669,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),sF5)
| subclass(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f662,f627]) ).
fof(f670,plain,
( subclass(sF5,sF2)
| subclass(sF5,sF2) ),
inference(resolution,[],[f669,f2]) ).
fof(f678,plain,
subclass(sF5,sF2),
inference(duplicate_literal_removal,[],[f670]) ).
fof(f679,plain,
$false,
inference(forward_subsumption_resolution,[],[f678,f372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET224-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n011.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 28 01:09:15 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 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
% 9.03/2.90 % (2926810)Input is clausal, will run a generic CNF schedule.
% 9.03/2.90 % (2926821)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2064530907:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.03/2.90 % (2926821)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926821)------------------------------
% 9.03/2.90 % (2926821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926821)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926821)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926821)Time elapsed: 0.001 s
% 9.03/2.90 % (2926821)Peak memory usage: 88 MB
% 9.03/2.90 % (2926821)Instructions burned: 1 (million)
% 9.03/2.90 % (2926822)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3881445202:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.03/2.90 % (2926819)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3331314664:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.03/2.90 % (2926818)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=343501821:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.03/2.90 % (2926817)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=2435525008:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.03/2.90 % (2926820)lrs+10_1_sil=8000:sp=occurrence:random_seed=3844074687:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.03/2.90 % (2926820)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926820)------------------------------
% 9.03/2.90 % (2926820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926820)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926820)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926820)Time elapsed: 0.002 s
% 9.03/2.90 % (2926820)Peak memory usage: 88 MB
% 9.03/2.90 % (2926823)dis-21_1_sil=8000:lcm=predicate:random_seed=3532152522: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)
% 9.03/2.90 % (2926822)Instruction limit reached!
% 9.03/2.90 % (2926822)------------------------------
% 9.03/2.90 % (2926822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926822)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926822)Termination reason: Instruction limit
% 9.03/2.90 % (2926822)Termination phase: Saturation
% 9.03/2.90 % (2926822)Time elapsed: 0.147 s
% 9.03/2.90 % (2926822)Peak memory usage: 90 MB
% 9.03/2.90 % (2926822)Instructions burned: 180 (million)
% 9.03/2.90 % (2926823)Instruction limit reached!
% 9.03/2.90 % (2926823)------------------------------
% 9.03/2.90 % (2926823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926823)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926823)Termination reason: Instruction limit
% 9.03/2.90 % (2926823)Termination phase: Saturation
% 9.03/2.90 % (2926823)Time elapsed: 0.109 s
% 9.03/2.90 % (2926823)Peak memory usage: 89 MB
% 9.03/2.90 % (2926823)Instructions burned: 118 (million)
% 9.03/2.90 % (2926821)------------------------------
% 9.03/2.90 % (2926821)------------------------------
% 9.03/2.90 % (2926833)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=2117553649:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.03/2.90 % (2926833)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926833)------------------------------
% 9.03/2.90 % (2926833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926833)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926833)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926833)Time elapsed: 0.002 s
% 9.03/2.90 % (2926833)Peak memory usage: 87 MB
% 9.03/2.90 % (2926833)Instructions burned: 3 (million)
% 9.03/2.90 % (2926834)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1723330133:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 9.03/2.90 % (2926834)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926834)------------------------------
% 9.03/2.90 % (2926834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926834)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926834)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926834)Time elapsed: 0.014 s
% 9.03/2.90 % (2926834)Peak memory usage: 88 MB
% 9.03/2.90 % (2926834)Instructions burned: 21 (million)
% 9.03/2.90 % (2926820)------------------------------
% 9.03/2.90 % (2926820)------------------------------
% 9.03/2.90 % (2926835)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1164514365:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.03/2.90 % (2926835)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926835)------------------------------
% 9.03/2.90 % (2926835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926835)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926835)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926835)Time elapsed: 0.005 s
% 9.03/2.90 % (2926835)Peak memory usage: 88 MB
% 9.03/2.90 % (2926835)Instructions burned: 4 (million)
% 9.03/2.90 % (2926833)------------------------------
% 9.03/2.90 % (2926833)------------------------------
% 9.03/2.90 % (2926838)lrs+10_64_to=lpo:sil=8000:random_seed=3100241836:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 9.03/2.90 % (2926834)------------------------------
% 9.03/2.90 % (2926834)------------------------------
% 9.03/2.90 % (2926840)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3494642373:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 9.03/2.90 % (2926838)Instruction limit reached!
% 9.03/2.90 % (2926838)------------------------------
% 9.03/2.90 % (2926838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926838)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926838)Termination reason: Instruction limit
% 9.03/2.90 % (2926838)Termination phase: Saturation
% 9.03/2.90 % (2926838)Time elapsed: 0.135 s
% 9.03/2.90 % (2926838)Peak memory usage: 89 MB
% 9.03/2.90 % (2926838)Instructions burned: 127 (million)
% 9.03/2.90 % (2926840)Instruction limit reached!
% 9.03/2.90 % (2926840)------------------------------
% 9.03/2.90 % (2926840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926840)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926840)Termination reason: Instruction limit
% 9.03/2.90 % (2926840)Termination phase: Saturation
% 9.03/2.90 % (2926840)Time elapsed: 0.108 s
% 9.03/2.90 % (2926840)Peak memory usage: 90 MB
% 9.03/2.90 % (2926840)Instructions burned: 194 (million)
% 9.03/2.90 % (2926835)------------------------------
% 9.03/2.90 % (2926835)------------------------------
% 9.03/2.90 % (2926844)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2187120238:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 9.03/2.90 % (2926847)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=219250777:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 9.03/2.90 % (2926846)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3430640958:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 9.03/2.90 % (2926847)Instruction limit reached!
% 9.03/2.90 % (2926847)------------------------------
% 9.03/2.90 % (2926847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926847)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926847)Termination reason: Instruction limit
% 9.03/2.90 % (2926847)Termination phase: Saturation
% 9.03/2.90 % (2926847)Time elapsed: 0.062 s
% 9.03/2.90 % (2926847)Peak memory usage: 90 MB
% 9.03/2.90 % (2926847)Instructions burned: 107 (million)
% 9.03/2.90 % (2926819)First to succeed.
% 9.03/2.90 % (2926819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2926810"
% 9.03/2.90 % (2926844)Instruction limit reached!
% 9.03/2.90 % (2926844)------------------------------
% 9.03/2.90 % (2926844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926844)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926844)Termination reason: Instruction limit
% 9.03/2.90 % (2926844)Termination phase: Saturation
% 9.03/2.90 % (2926844)Time elapsed: 0.160 s
% 9.03/2.90 % (2926844)Peak memory usage: 91 MB
% 9.03/2.90 % (2926844)Instructions burned: 157 (million)
% 9.03/2.90 % (2926848)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3802457366:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 9.03/2.90 % (2926848)Refutation not found, incomplete strategy
% 9.03/2.90 % (2926848)------------------------------
% 9.03/2.90 % (2926848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926848)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926848)Termination reason: Refutation not found, incomplete strategy
% 9.03/2.90 % (2926848)Time elapsed: 0.008 s
% 9.03/2.90 % (2926848)Peak memory usage: 88 MB
% 9.03/2.90 % (2926848)Instructions burned: 8 (million)
% 9.03/2.90 % (2926852)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2680456888:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 9.03/2.90 % (2926853)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2519655347:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 9.03/2.90 % (2926852)Instruction limit reached!
% 9.03/2.90 % (2926852)------------------------------
% 9.03/2.90 % (2926852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.90 % (2926852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.90 % (2926852)CaDiCaL version: 2.1.3
% 9.03/2.90 % (2926852)Termination reason: Instruction limit
% 9.03/2.90 % (2926852)Termination phase: Saturation
% 9.03/2.90 % (2926852)Time elapsed: 0.150 s
% 9.03/2.90 % (2926852)Peak memory usage: 90 MB
% 9.03/2.90 % (2926852)Instructions burned: 244 (million)
% 9.03/2.90 % (2926848)------------------------------
% 9.03/2.90 % (2926848)------------------------------
% 9.03/2.90 % (2926819)Refutation found. Thanks to Tanya!
% 9.03/2.90 % SZS status Unsatisfiable for theBenchmark
% 9.03/2.90 % SZS output start Proof for theBenchmark
% See solution above
% 14.01/3.19 % (2926819)------------------------------
% 14.01/3.19 % (2926819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.19 % (2926819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.19 % (2926819)CaDiCaL version: 2.1.3
% 14.01/3.19 % (2926819)Termination reason: Refutation
% 14.01/3.19 % (2926819)Time elapsed: 1.145 s
% 14.01/3.19 % (2926819)Peak memory usage: 129 MB
% 14.01/3.19 % (2926819)Instructions burned: 1096 (million)
% 14.01/3.19 % (2926819)------------------------------
% 14.01/3.19 % (2926819)------------------------------
% 14.01/3.19 % (2926810)Success in time 1.882 s
% 14.01/3.19 % Vampire exiting
%------------------------------------------------------------------------------