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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET209-6 : 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 : n010.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 8.22s 2.05s
% Output   : Refutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :   45 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   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(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(f122,negated_conjecture,
    subclass(y,z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_is_monotonic2_1) ).

fof(f123,negated_conjecture,
    ~ subclass(cross_product(x,y),cross_product(x,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_is_monotonic2_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] :
      ( ~ 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,f128]) ).

fof(f190,plain,
    ~ member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(x,z)),
    inference(unit_resulting_resolution,[],[f3,f123]) ).

fof(f191,plain,
    member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(x,y)),
    inference(unit_resulting_resolution,[],[f2,f123]) ).

fof(f196,plain,
    not_subclass_element(cross_product(x,y),cross_product(x,z)) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),first(not_subclass_element(cross_product(x,y),cross_product(x,z)))),unordered_pair(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),unordered_pair(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),second(not_subclass_element(cross_product(x,y),cross_product(x,z)))))),
    inference(unit_resulting_resolution,[],[f140,f191]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(X0,X1))
      | member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),X1) ),
    inference(superposition,[],[f138,f196]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(X0,X1))
      | member(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),X0) ),
    inference(superposition,[],[f137,f196]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(X0,X1))
      | ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),X1)
      | ~ member(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),X0) ),
    inference(superposition,[],[f139,f196]) ).

fof(f200,plain,
    member(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),x),
    inference(unit_resulting_resolution,[],[f198,f191]) ).

fof(f205,plain,
    ~ member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),z),
    inference(unit_resulting_resolution,[],[f199,f200,f190]) ).

fof(f206,plain,
    member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),y),
    inference(unit_resulting_resolution,[],[f197,f191]) ).

fof(f207,plain,
    member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),z),
    inference(unit_resulting_resolution,[],[f1,f122,f206]) ).

fof(f215,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f207,f205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET209-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n010.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 28 01:07:32 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 6.85/1.96  % (1475047)Input is clausal, will run a generic CNF schedule.
% 6.85/1.96  % (1475056)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4160342623:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.85/1.96  % (1475056)Refutation not found, incomplete strategy
% 6.85/1.96  % (1475056)------------------------------
% 6.85/1.96  % (1475056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.96  % (1475056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.96  % (1475056)CaDiCaL version: 2.1.3
% 6.85/1.96  % (1475056)Termination reason: Refutation not found, incomplete strategy
% 6.85/1.96  % (1475056)Time elapsed: 0.002 s
% 6.85/1.96  % (1475056)Peak memory usage: 88 MB
% 6.85/1.96  % (1475056)Instructions burned: 2 (million)
% 6.85/1.96  % (1475054)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2847244003:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.85/1.96  % (1475053)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1226255668:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.85/1.96  % (1475055)lrs+10_1_sil=8000:sp=occurrence:random_seed=2807390583:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.85/1.96  % (1475052)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=912250356:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.85/1.96  % (1475055)Refutation not found, incomplete strategy
% 6.85/1.96  % (1475055)------------------------------
% 6.85/1.96  % (1475055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.96  % (1475055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.96  % (1475055)CaDiCaL version: 2.1.3
% 6.85/1.96  % (1475055)Termination reason: Refutation not found, incomplete strategy
% 6.85/1.96  % (1475055)Time elapsed: 0.002 s
% 6.85/1.96  % (1475055)Peak memory usage: 88 MB
% 6.85/1.96  % (1475058)dis-21_1_sil=8000:lcm=predicate:random_seed=3759687319: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)
% 6.85/1.96  % (1475057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2885347130:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.85/1.96  % (1475058)Instruction limit reached! 
% 6.85/1.96  % (1475058)------------------------------
% 6.85/1.96  % (1475058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.96  % (1475058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.96  % (1475058)CaDiCaL version: 2.1.3
% 6.85/1.96  % (1475058)Termination reason: Instruction limit
% 6.85/1.96  % (1475058)Termination phase: Saturation
% 6.85/1.96  % (1475058)Time elapsed: 0.072 s
% 6.85/1.96  % (1475058)Peak memory usage: 89 MB
% 6.85/1.96  % (1475058)Instructions burned: 117 (million)
% 6.85/1.96  % (1475056)------------------------------
% 6.85/1.96  % (1475056)------------------------------
% 6.85/1.96  % (1475057)Instruction limit reached! 
% 6.85/1.96  % (1475057)------------------------------
% 6.85/1.96  % (1475057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.96  % (1475057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.96  % (1475057)CaDiCaL version: 2.1.3
% 6.85/1.96  % (1475057)Termination reason: Instruction limit
% 6.85/1.96  % (1475057)Termination phase: Saturation
% 6.85/1.96  % (1475057)Time elapsed: 0.137 s
% 6.85/1.96  % (1475057)Peak memory usage: 90 MB
% 6.85/1.96  % (1475057)Instructions burned: 181 (million)
% 6.85/1.96  % (1475067)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=46645288: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)
% 6.85/1.96  % (1475066)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=2394578916:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.85/1.96  % (1475066)Refutation not found, incomplete strategy
% 6.85/1.96  % (1475066)------------------------------
% 6.85/1.96  % (1475066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/1.96  % (1475066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475066)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475066)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.05  % (1475066)Time elapsed: 0.001 s
% 8.22/2.05  % (1475066)Peak memory usage: 88 MB
% 8.22/2.05  % (1475067)Refutation not found, incomplete strategy
% 8.22/2.05  % (1475067)------------------------------
% 8.22/2.05  % (1475067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475067)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475067)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.05  % (1475067)Time elapsed: 0.006 s
% 8.22/2.05  % (1475067)Peak memory usage: 88 MB
% 8.22/2.05  % (1475067)Instructions burned: 19 (million)
% 8.22/2.05  % (1475055)------------------------------
% 8.22/2.05  % (1475055)------------------------------
% 8.22/2.05  % (1475068)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2911346048:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.22/2.05  % (1475068)Refutation not found, incomplete strategy
% 8.22/2.05  % (1475068)------------------------------
% 8.22/2.05  % (1475068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475068)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475068)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.05  % (1475068)Time elapsed: 0.004 s
% 8.22/2.05  % (1475068)Peak memory usage: 88 MB
% 8.22/2.05  % (1475068)Instructions burned: 4 (million)
% 8.22/2.05  % (1475067)------------------------------
% 8.22/2.05  % (1475067)------------------------------
% 8.22/2.05  % (1475071)lrs+10_64_to=lpo:sil=8000:random_seed=379552959:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.22/2.05  % (1475066)------------------------------
% 8.22/2.05  % (1475066)------------------------------
% 8.22/2.05  % (1475071)Instruction limit reached! 
% 8.22/2.05  % (1475071)------------------------------
% 8.22/2.05  % (1475071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475071)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475071)Termination reason: Instruction limit
% 8.22/2.05  % (1475071)Termination phase: Saturation
% 8.22/2.05  % (1475071)Time elapsed: 0.078 s
% 8.22/2.05  % (1475071)Peak memory usage: 89 MB
% 8.22/2.05  % (1475071)Instructions burned: 126 (million)
% 8.22/2.05  % (1475073)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3023642514:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.22/2.05  % (1475068)------------------------------
% 8.22/2.05  % (1475068)------------------------------
% 8.22/2.05  % (1475073)Instruction limit reached! 
% 8.22/2.05  % (1475073)------------------------------
% 8.22/2.05  % (1475073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475073)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475073)Termination reason: Instruction limit
% 8.22/2.05  % (1475073)Termination phase: Saturation
% 8.22/2.05  % (1475073)Time elapsed: 0.071 s
% 8.22/2.05  % (1475073)Peak memory usage: 90 MB
% 8.22/2.05  % (1475073)Instructions burned: 196 (million)
% 8.22/2.05  % (1475075)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4167067621:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.22/2.05  % (1475053)First to succeed.
% 8.22/2.05  % (1475053)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1475047"
% 8.22/2.05  % (1475076)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2659779337:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.22/2.05  % (1475052)Also succeeded, but the first one will report.
% 8.22/2.05  % (1475054)Also succeeded, but the first one will report.
% 8.22/2.05  % (1475079)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1858791335:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.22/2.05  % (1475078)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=2337483182:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 8.22/2.05  % (1475078)Refutation not found, incomplete strategy
% 8.22/2.05  % (1475078)------------------------------
% 8.22/2.05  % (1475078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475078)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475078)Termination reason: Refutation not found, incomplete strategy
% 8.22/2.05  % (1475078)Time elapsed: 0.002 s
% 8.22/2.05  % (1475078)Peak memory usage: 88 MB
% 8.22/2.05  % (1475078)Instructions burned: 1 (million)
% 8.22/2.05  % (1475075)Instruction limit reached! 
% 8.22/2.05  % (1475075)------------------------------
% 8.22/2.05  % (1475075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475075)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475075)Termination reason: Instruction limit
% 8.22/2.05  % (1475075)Termination phase: Saturation
% 8.22/2.05  % (1475075)Time elapsed: 0.106 s
% 8.22/2.05  % (1475075)Peak memory usage: 91 MB
% 8.22/2.05  % (1475075)Instructions burned: 157 (million)
% 8.22/2.05  % (1475079)Instruction limit reached! 
% 8.22/2.05  % (1475079)------------------------------
% 8.22/2.05  % (1475079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475079)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475079)Termination reason: Instruction limit
% 8.22/2.05  % (1475079)Termination phase: Saturation
% 8.22/2.05  % (1475079)Time elapsed: 0.039 s
% 8.22/2.05  % (1475079)Peak memory usage: 89 MB
% 8.22/2.05  % (1475079)Instructions burned: 110 (million)
% 8.22/2.05  % (1475084)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2830294128:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 8.22/2.05  % (1475085)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1839741579:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.22/2.05  % (1475053)Refutation found. Thanks to Tanya!
% 8.22/2.05  % SZS status Unsatisfiable for theBenchmark
% 8.22/2.05  % SZS output start Proof for theBenchmark
% See solution above
% 8.22/2.05  % (1475053)------------------------------
% 8.22/2.05  % (1475053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.22/2.05  % (1475053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/2.05  % (1475053)CaDiCaL version: 2.1.3
% 8.22/2.05  % (1475053)Termination reason: Refutation
% 8.22/2.05  % (1475053)Time elapsed: 0.648 s
% 8.22/2.05  % (1475053)Peak memory usage: 127 MB
% 8.22/2.05  % (1475053)Instructions burned: 971 (million)
% 8.22/2.05  % (1475053)------------------------------
% 8.22/2.05  % (1475053)------------------------------
% 8.22/2.05  % (1475047)Success in time 1.089 s
% 8.22/2.05  % Vampire exiting
%------------------------------------------------------------------------------