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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET212-6 : 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 : n014.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 12:40:31 PM UTC 2026

% Result   : Unsatisfiable 5.63s 2.01s
% Output   : Refutation 5.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   35 (  18 unt;   0 def)
%            Number of atoms       :   57 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   49 (  27   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subclass(X0,X1)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

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(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

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(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).

fof(f122,negated_conjecture,
    ~ subclass(cross_product(x,y),cross_product(x,union(y,z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_X_product_monotonicity_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] :
      ( ~ member(X0,cross_product(X1,X2))
      | unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
    inference(definition_unfolding,[],[f17,f127]) ).

fof(f185,plain,
    ~ subclass(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),
    inference(definition_unfolding,[],[f122,f26]) ).

fof(f190,plain,
    member(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),cross_product(x,y)),
    inference(unit_resulting_resolution,[],[f2,f185]) ).

fof(f191,plain,
    ~ member(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),cross_product(x,complement(intersection(complement(y),complement(z))))),
    inference(unit_resulting_resolution,[],[f3,f185]) ).

fof(f192,plain,
    not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))))),unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),unordered_pair(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))))))),
    inference(unit_resulting_resolution,[],[f139,f190]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),cross_product(X0,X1))
      | ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),X1)
      | ~ member(first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),X0) ),
    inference(superposition,[],[f138,f192]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),cross_product(X0,X1))
      | member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),X1) ),
    inference(superposition,[],[f137,f192]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z))))),cross_product(X0,X1))
      | member(first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),X0) ),
    inference(superposition,[],[f136,f192]) ).

fof(f199,plain,
    member(first(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),x),
    inference(unit_resulting_resolution,[],[f198,f190]) ).

fof(f205,plain,
    member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),y),
    inference(unit_resulting_resolution,[],[f197,f190]) ).

fof(f212,plain,
    ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),complement(y)),
    inference(unit_resulting_resolution,[],[f24,f205]) ).

fof(f222,plain,
    ! [X0] : ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),intersection(complement(y),X0)),
    inference(unit_resulting_resolution,[],[f21,f212]) ).

fof(f225,plain,
    ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),complement(intersection(complement(y),complement(z)))),
    inference(unit_resulting_resolution,[],[f196,f199,f191]) ).

fof(f241,plain,
    member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),universal_class),
    inference(unit_resulting_resolution,[],[f1,f205,f4]) ).

fof(f276,plain,
    member(second(not_subclass_element(cross_product(x,y),cross_product(x,complement(intersection(complement(y),complement(z)))))),intersection(complement(y),complement(z))),
    inference(unit_resulting_resolution,[],[f25,f225,f241]) ).

fof(f293,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f276,f222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET212-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 01:06:32 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 5.63/1.92  % (1336583)Input is clausal, will run a generic CNF schedule.
% 5.63/1.92  % (1336591)lrs+10_1_sil=8000:sp=occurrence:random_seed=2087211029:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.63/1.92  % (1336591)Refutation not found, incomplete strategy
% 5.63/1.92  % (1336591)------------------------------
% 5.63/1.92  % (1336591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336591)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336591)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92  % (1336591)Time elapsed: 0.015 s
% 5.63/1.92  % (1336591)Peak memory usage: 89 MB
% 5.63/1.92  % (1336591)Instructions burned: 40 (million)
% 5.63/1.92  % (1336589)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3174422296:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.63/1.92  % (1336590)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1087587150:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.63/1.92  % (1336588)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=244353715:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.63/1.92  % (1336594)dis-21_1_sil=8000:lcm=predicate:random_seed=1483027755: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)
% 5.63/1.92  % (1336592)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3855105553:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.63/1.92  % (1336593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3377445160:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.63/1.92  % (1336594)Instruction limit reached! 
% 5.63/1.92  % (1336594)------------------------------
% 5.63/1.92  % (1336594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336594)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336594)Termination reason: Instruction limit
% 5.63/1.92  % (1336594)Termination phase: Saturation
% 5.63/1.92  % (1336594)Time elapsed: 0.065 s
% 5.63/1.92  % (1336594)Peak memory usage: 89 MB
% 5.63/1.92  % (1336594)Instructions burned: 119 (million)
% 5.63/1.92  % (1336592)Instruction limit reached! 
% 5.63/1.92  % (1336592)------------------------------
% 5.63/1.92  % (1336592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336592)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336592)Termination reason: Instruction limit
% 5.63/1.92  % (1336592)Termination phase: Saturation
% 5.63/1.92  % (1336592)Time elapsed: 0.070 s
% 5.63/1.92  % (1336592)Peak memory usage: 89 MB
% 5.63/1.92  % (1336592)Instructions burned: 115 (million)
% 5.63/1.92  % (1336591)------------------------------
% 5.63/1.92  % (1336591)------------------------------
% 5.63/1.92  % (1336593)Instruction limit reached! 
% 5.63/1.92  % (1336593)------------------------------
% 5.63/1.92  % (1336593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336593)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336593)Termination reason: Instruction limit
% 5.63/1.92  % (1336593)Termination phase: Saturation
% 5.63/1.92  % (1336593)Time elapsed: 0.136 s
% 5.63/1.92  % (1336593)Peak memory usage: 90 MB
% 5.63/1.92  % (1336593)Instructions burned: 181 (million)
% 5.63/1.92  % (1336604)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=442891216:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.63/1.92  % (1336604)Refutation not found, incomplete strategy
% 5.63/1.92  % (1336604)------------------------------
% 5.63/1.92  % (1336604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336604)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336604)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92  % (1336604)Time elapsed: 0.002 s
% 5.63/1.92  % (1336604)Peak memory usage: 88 MB
% 5.63/1.92  % (1336604)Instructions burned: 4 (million)
% 5.63/1.92  % (1336603)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1710098289: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)
% 5.63/1.92  % (1336602)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=1338155178:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.63/1.92  % (1336602)Refutation not found, incomplete strategy
% 5.63/1.92  % (1336602)------------------------------
% 5.63/1.92  % (1336602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336602)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336602)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92  % (1336602)Time elapsed: 0.002 s
% 5.63/1.92  % (1336602)Peak memory usage: 88 MB
% 5.63/1.92  % (1336602)Instructions burned: 2 (million)
% 5.63/1.92  % (1336603)Refutation not found, incomplete strategy
% 5.63/1.92  % (1336603)------------------------------
% 5.63/1.92  % (1336603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336603)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336603)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92  % (1336603)Time elapsed: 0.011 s
% 5.63/1.92  % (1336603)Peak memory usage: 88 MB
% 5.63/1.92  % (1336603)Instructions burned: 20 (million)
% 5.63/1.92  % (1336605)lrs+10_64_to=lpo:sil=8000:random_seed=687290762:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.63/1.92  % (1336604)------------------------------
% 5.63/1.92  % (1336604)------------------------------
% 5.63/1.92  % (1336605)Instruction limit reached! 
% 5.63/1.92  % (1336605)------------------------------
% 5.63/1.92  % (1336605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336605)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336605)Termination reason: Instruction limit
% 5.63/1.92  % (1336605)Termination phase: Saturation
% 5.63/1.92  % (1336605)Time elapsed: 0.081 s
% 5.63/1.92  % (1336605)Peak memory usage: 89 MB
% 5.63/1.92  % (1336605)Instructions burned: 127 (million)
% 5.63/1.92  % (1336602)------------------------------
% 5.63/1.92  % (1336602)------------------------------
% 5.63/1.92  % (1336603)------------------------------
% 5.63/1.92  % (1336603)------------------------------
% 5.63/1.92  % (1336610)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3436395500:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.63/1.92  % (1336611)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3798143631:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.63/1.92  % (1336610)Instruction limit reached! 
% 5.63/1.92  % (1336610)------------------------------
% 5.63/1.92  % (1336610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336610)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336610)Termination reason: Instruction limit
% 5.63/1.92  % (1336610)Termination phase: Saturation
% 5.63/1.92  % (1336610)Time elapsed: 0.069 s
% 5.63/1.92  % (1336610)Peak memory usage: 90 MB
% 5.63/1.92  % (1336610)Instructions burned: 195 (million)
% 5.63/1.92  % (1336613)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1213096839:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.63/1.92  % (1336611)Instruction limit reached! 
% 5.63/1.92  % (1336611)------------------------------
% 5.63/1.92  % (1336611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92  % (1336611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92  % (1336611)CaDiCaL version: 2.1.3
% 5.63/1.92  % (1336611)Termination reason: Instruction limit
% 5.63/1.92  % (1336611)Termination phase: Saturation
% 5.63/1.92  % (1336611)Time elapsed: 0.107 s
% 5.63/1.92  % (1336611)Peak memory usage: 91 MB
% 5.63/1.92  % (1336611)Instructions burned: 158 (million)
% 5.63/1.92  % (1336614)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=3430237994:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.63/2.01  % (1336616)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=324280360:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.63/2.01  % (1336589)First to succeed.
% 5.63/2.01  % (1336589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1336583"
% 5.63/2.01  % (1336616)Instruction limit reached! 
% 5.63/2.01  % (1336616)------------------------------
% 5.63/2.01  % (1336616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/2.01  % (1336616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/2.01  % (1336616)CaDiCaL version: 2.1.3
% 5.63/2.01  % (1336616)Termination reason: Instruction limit
% 5.63/2.01  % (1336616)Termination phase: Saturation
% 5.63/2.01  % (1336616)Time elapsed: 0.039 s
% 5.63/2.01  % (1336616)Peak memory usage: 89 MB
% 5.63/2.01  % (1336616)Instructions burned: 108 (million)
% 5.63/2.01  % (1336614)Instruction limit reached! 
% 5.63/2.01  % (1336614)------------------------------
% 5.63/2.01  % (1336614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/2.01  % (1336614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/2.01  % (1336614)CaDiCaL version: 2.1.3
% 5.63/2.01  % (1336614)Termination reason: Instruction limit
% 5.63/2.01  % (1336614)Termination phase: Saturation
% 5.63/2.01  % (1336614)Time elapsed: 0.064 s
% 5.63/2.01  % (1336614)Peak memory usage: 90 MB
% 5.63/2.01  % (1336614)Instructions burned: 106 (million)
% 5.63/2.01  % (1336590)Also succeeded, but the first one will report.
% 5.63/2.01  % (1336588)Also succeeded, but the first one will report.
% 5.63/2.01  % (1336619)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=25662440:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 5.63/2.01  % (1336621)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1906999225:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 5.63/2.01  % (1336622)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3157940058:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 5.63/2.01  % (1336622)Refutation not found, incomplete strategy
% 5.63/2.01  % (1336622)------------------------------
% 5.63/2.01  % (1336622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/2.01  % (1336622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/2.01  % (1336622)CaDiCaL version: 2.1.3
% 5.63/2.01  % (1336622)Termination reason: Refutation not found, incomplete strategy
% 5.63/2.01  % (1336622)Time elapsed: 0.004 s
% 5.63/2.01  % (1336622)Peak memory usage: 88 MB
% 5.63/2.01  % (1336622)Instructions burned: 4 (million)
% 5.63/2.01  % (1336589)Refutation found. Thanks to Tanya!
% 5.63/2.01  % SZS status Unsatisfiable for theBenchmark
% 5.63/2.01  % SZS output start Proof for theBenchmark
% See solution above
% 5.63/2.01  % (1336589)------------------------------
% 5.63/2.01  % (1336589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/2.01  % (1336589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/2.01  % (1336589)CaDiCaL version: 2.1.3
% 5.63/2.01  % (1336589)Termination reason: Refutation
% 5.63/2.01  % (1336589)Time elapsed: 0.665 s
% 5.63/2.01  % (1336589)Peak memory usage: 130 MB
% 5.63/2.01  % (1336589)Instructions burned: 996 (million)
% 5.63/2.01  % (1336589)------------------------------
% 5.63/2.01  % (1336589)------------------------------
% 5.63/2.01  % (1336583)Success in time 1.071 s
% 5.63/2.01  % Vampire exiting
%------------------------------------------------------------------------------