%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET230-6 : 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 : n015.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 12:40:34 PM UTC 2026
% Result : Unsatisfiable 5.15s 1.66s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 79 ( 17 unt; 6 def)
% Number of atoms : 172 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 185 ( 92 ~; 89 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 85 !; 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(f122,negated_conjecture,
cross_product(u,u) = cross_product(w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_1) ).
fof(f123,negated_conjecture,
u != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_2) ).
fof(f128,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(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(X0,X2) ),
inference(definition_unfolding,[],[f14,f128]) ).
fof(f138,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,f128]) ).
fof(f139,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,f128]) ).
fof(f140,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,f128]) ).
fof(f190,definition,
sF0 = cross_product(u,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(u,u) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = cross_product(w,w),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
cross_product(w,w) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,plain,
sF0 = sF1,
inference(definition_folding,[],[f122,f193,f191]) ).
fof(f195,plain,
cross_product(w,w) = sF0,
inference(forward_demodulation,[],[f193,f194]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,w) ),
inference(superposition,[],[f137,f195]) ).
fof(f198,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,w) ),
inference(superposition,[],[f138,f195]) ).
fof(f199,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,u) ),
inference(superposition,[],[f138,f191]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f138,f140]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f206,f191]) ).
fof(f222,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,w)
| ~ member(X0,w) ),
inference(superposition,[],[f139,f195]) ).
fof(f223,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,u)
| ~ member(X0,u) ),
inference(superposition,[],[f139,f191]) ).
fof(f224,plain,
! [X0,X1] :
( ~ member(X0,w)
| ~ member(X1,w)
| member(X0,u) ),
inference(resolution,[],[f222,f199]) ).
fof(f230,definition,
( spl2_1
<=> ! [X1] :
( ~ member(X1,w)
| member(X1,u) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f231,plain,
( ! [X1] :
( member(X1,u)
| ~ member(X1,w) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,definition,
( spl2_2
<=> ! [X0] : ~ member(X0,w) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f234,plain,
( ! [X0] : ~ member(X0,w)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f224,f230,f233]) ).
fof(f239,plain,
! [X0,X1] :
( ~ member(X0,u)
| ~ member(X1,u)
| member(X0,w) ),
inference(resolution,[],[f223,f198]) ).
fof(f240,plain,
! [X0,X1] :
( ~ member(X0,u)
| ~ member(X1,u)
| member(X1,w) ),
inference(resolution,[],[f223,f196]) ).
fof(f242,plain,
( ! [X0,X1] :
( ~ member(X0,u)
| ~ member(X1,u) )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f240,f234]) ).
fof(f245,definition,
( spl2_3
<=> ! [X1] : ~ member(X1,u) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f246,plain,
( ! [X1] : ~ member(X1,u)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( spl2_3
| spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f242,f233,f245,f245]) ).
fof(f249,plain,
( ! [X0] : subclass(u,X0)
| ~ spl2_3 ),
inference(resolution,[],[f246,f2]) ).
fof(f251,plain,
( ! [X0] : subclass(w,X0)
| ~ spl2_2 ),
inference(resolution,[],[f234,f2]) ).
fof(f252,plain,
( ! [X0] :
( ~ subclass(X0,w)
| w = X0 )
| ~ spl2_2 ),
inference(resolution,[],[f251,f7]) ).
fof(f282,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),u)
| ~ member(X0,sF0) ),
inference(superposition,[],[f211,f191]) ).
fof(f283,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),u) ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f285,plain,
( ! [X0] : ~ member(X0,sF0)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f283,f246]) ).
fof(f289,plain,
( ! [X0,X1] :
( ~ member(X0,w)
| ~ member(X1,w) )
| ~ spl2_3 ),
inference(resolution,[],[f285,f222]) ).
fof(f299,plain,
( u = w
| ~ spl2_2
| ~ spl2_3 ),
inference(resolution,[],[f252,f249]) ).
fof(f301,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f299,f123]) ).
fof(f302,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f304,plain,
( spl2_2
| spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f289,f245,f233,f233]) ).
fof(f307,definition,
( spl2_4
<=> ! [X1] :
( ~ member(X1,u)
| member(X1,w) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f308,plain,
( ! [X1] :
( member(X1,w)
| ~ member(X1,u) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f239,f307,f245]) ).
fof(f311,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,w),u)
| subclass(X0,w) )
| ~ spl2_4 ),
inference(resolution,[],[f308,f3]) ).
fof(f312,plain,
( subclass(u,w)
| subclass(u,w)
| ~ spl2_4 ),
inference(resolution,[],[f311,f2]) ).
fof(f314,plain,
( subclass(u,w)
| ~ spl2_4 ),
inference(duplicate_literal_removal,[],[f312]) ).
fof(f316,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,u),w)
| subclass(X0,u) )
| ~ spl2_1 ),
inference(resolution,[],[f231,f3]) ).
fof(f317,plain,
( subclass(w,u)
| subclass(w,u)
| ~ spl2_1 ),
inference(resolution,[],[f316,f2]) ).
fof(f320,plain,
( subclass(w,u)
| ~ spl2_1 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f321,plain,
( ~ subclass(w,u)
| u = w
| ~ spl2_4 ),
inference(resolution,[],[f314,f7]) ).
fof(f322,plain,
( u = w
| ~ spl2_1
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f321,f320]) ).
fof(f323,plain,
( $false
| ~ spl2_1
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f322,f123]) ).
fof(f324,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f323]) ).
cnf(s2,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f236]) ).
cnf(s3,plain,
( spl2_3
| ~ spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f247]) ).
cnf(s4,plain,
( ~ spl2_2
| spl2_3 ),
inference(rat,[],[s3]) ).
cnf(s7,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f302]) ).
cnf(s8,plain,
( spl2_2
| spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f304]) ).
cnf(s9,plain,
( spl2_2
| ~ spl2_3 ),
inference(rat,[],[s8]) ).
cnf(s12,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f310]) ).
cnf(s13,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(sat_conversion,[],[f324]) ).
cnf(s14,plain,
~ spl2_2,
inference(rat,[],[s4,s7]) ).
cnf(s15,plain,
~ spl2_3,
inference(rat,[],[s9,s14]) ).
cnf(s16,plain,
spl2_1,
inference(rat,[],[s2,s14]) ).
cnf(s17,plain,
spl2_4,
inference(rat,[],[s12,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s13,s17,s16]) ).
fof(f325,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET230-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:14:08 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.15/1.66 % (2176295)Input is clausal, will run a generic CNF schedule.
% 5.15/1.66 % (2176302)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1887985034:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.15/1.66 % (2176301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2679272625:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.15/1.66 % (2176303)lrs+10_1_sil=8000:sp=occurrence:random_seed=1241032077:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.15/1.66 % (2176306)dis-21_1_sil=8000:lcm=predicate:random_seed=1719393590: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)
% 5.15/1.66 % (2176304)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2421961844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.15/1.66 % (2176300)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=4049999640:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.15/1.66 % (2176303)Refutation not found, incomplete strategy
% 5.15/1.66 % (2176303)------------------------------
% 5.15/1.66 % (2176303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176303)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176303)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (2176303)Time elapsed: 0.001 s
% 5.15/1.66 % (2176303)Peak memory usage: 87 MB
% 5.15/1.66 % (2176304)Refutation not found, incomplete strategy
% 5.15/1.66 % (2176304)------------------------------
% 5.15/1.66 % (2176304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176304)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176304)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (2176304)Time elapsed: 0.002 s
% 5.15/1.66 % (2176304)Peak memory usage: 88 MB
% 5.15/1.66 % (2176304)Instructions burned: 1 (million)
% 5.15/1.66 % (2176305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=804015772:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.15/1.66 % (2176306)Instruction limit reached!
% 5.15/1.66 % (2176306)------------------------------
% 5.15/1.66 % (2176306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176306)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176306)Termination reason: Instruction limit
% 5.15/1.66 % (2176306)Termination phase: Saturation
% 5.15/1.66 % (2176306)Time elapsed: 0.070 s
% 5.15/1.66 % (2176306)Peak memory usage: 89 MB
% 5.15/1.66 % (2176306)Instructions burned: 118 (million)
% 5.15/1.66 % (2176305)Instruction limit reached!
% 5.15/1.66 % (2176305)------------------------------
% 5.15/1.66 % (2176305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176305)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176305)Termination reason: Instruction limit
% 5.15/1.66 % (2176305)Termination phase: Saturation
% 5.15/1.66 % (2176305)Time elapsed: 0.135 s
% 5.15/1.66 % (2176305)Peak memory usage: 90 MB
% 5.15/1.66 % (2176305)Instructions burned: 181 (million)
% 5.15/1.66 % (2176314)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=3530576986:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.15/1.66 % (2176314)Refutation not found, incomplete strategy
% 5.15/1.66 % (2176314)------------------------------
% 5.15/1.66 % (2176314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176314)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176314)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (2176314)Time elapsed: 0.001 s
% 5.15/1.66 % (2176314)Peak memory usage: 87 MB
% 5.15/1.66 % (2176304)------------------------------
% 5.15/1.66 % (2176304)------------------------------
% 5.15/1.66 % (2176303)------------------------------
% 5.15/1.66 % (2176303)------------------------------
% 5.15/1.66 % (2176315)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3713424204: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)
% 5.15/1.66 % (2176315)Refutation not found, incomplete strategy
% 5.15/1.66 % (2176315)------------------------------
% 5.15/1.66 % (2176315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176315)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176315)Termination reason: Refutation not found, incomplete strategy
% 5.15/1.66 % (2176315)Time elapsed: 0.012 s
% 5.15/1.66 % (2176315)Peak memory usage: 88 MB
% 5.15/1.66 % (2176315)Instructions burned: 22 (million)
% 5.15/1.66 % (2176318)lrs+10_64_to=lpo:sil=8000:random_seed=1360300243:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.15/1.66 % (2176318)Instruction limit reached!
% 5.15/1.66 % (2176318)------------------------------
% 5.15/1.66 % (2176318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176318)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176318)Termination reason: Instruction limit
% 5.15/1.66 % (2176318)Termination phase: Saturation
% 5.15/1.66 % (2176318)Time elapsed: 0.043 s
% 5.15/1.66 % (2176318)Peak memory usage: 89 MB
% 5.15/1.66 % (2176318)Instructions burned: 127 (million)
% 5.15/1.66 % (2176302)First to succeed.
% 5.15/1.66 % (2176302)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2176295"
% 5.15/1.66 % (2176317)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3999729597:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.15/1.66 % (2176317)Also succeeded, but the first one will report.
% 5.15/1.66 % (2176314)------------------------------
% 5.15/1.66 % (2176314)------------------------------
% 5.15/1.66 % (2176321)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2957143777:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.15/1.66 % (2176315)------------------------------
% 5.15/1.66 % (2176315)------------------------------
% 5.15/1.66 % (2176321)Instruction limit reached!
% 5.15/1.66 % (2176321)------------------------------
% 5.15/1.66 % (2176321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.66 % (2176321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.66 % (2176321)CaDiCaL version: 2.1.3
% 5.15/1.66 % (2176321)Termination reason: Instruction limit
% 5.15/1.66 % (2176321)Termination phase: Saturation
% 5.15/1.66 % (2176321)Time elapsed: 0.067 s
% 5.15/1.66 % (2176321)Peak memory usage: 90 MB
% 5.15/1.66 % (2176321)Instructions burned: 195 (million)
% 5.15/1.66 % (2176323)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2848533096:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.15/1.66 % (2176325)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=256388256:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.15/1.66 % (2176302)Refutation found. Thanks to Tanya!
% 5.15/1.66 % SZS status Unsatisfiable for theBenchmark
% 5.15/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.22/1.86 % (2176302)------------------------------
% 6.22/1.86 % (2176302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.86 % (2176302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.86 % (2176302)CaDiCaL version: 2.1.3
% 6.22/1.86 % (2176302)Termination reason: Refutation
% 6.22/1.86 % (2176302)Time elapsed: 0.433 s
% 6.22/1.86 % (2176302)Peak memory usage: 130 MB
% 6.22/1.86 % (2176302)Instructions burned: 1005 (million)
% 6.22/1.86 % (2176302)------------------------------
% 6.22/1.86 % (2176302)------------------------------
% 6.22/1.86 % (2176295)Success in time 0.803 s
% 6.22/1.86 % Vampire exiting
%------------------------------------------------------------------------------