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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET347-6 : 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 : n005.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 12:40:48 PM UTC 2026

% Result   : Unsatisfiable 10.96s 2.76s
% Output   : Refutation 10.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   53 (  27 unt;   3 def)
%            Number of atoms       :   84 (  37 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   64 (  33   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-3 aty)
%            Number of variables   :   71 (  71   !;   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(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(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X1,X2))
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( restrict(X0,singleton(X1),universal_class) != null_class
      | ~ member(X1,domain_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

fof(f54,axiom,
    ! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).

fof(f67,axiom,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).

fof(f68,plain,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    inference(reorient_equations,[],[f67]) ).

fof(f69,axiom,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f122,negated_conjecture,
    sum_class(null_class) != null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_class_of_null_class_1) ).

fof(f123,plain,
    null_class != sum_class(null_class),
    inference(reorient_equations,[],[f122]) ).

fof(f124,plain,
    ! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
    inference(definition_unfolding,[],[f54,f28]) ).

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(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(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(f144,plain,
    ! [X0,X1] :
      ( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
      | ~ member(X1,domain_of(X0)) ),
    inference(definition_unfolding,[],[f30,f28,f12]) ).

fof(f186,plain,
    null_class != domain_of(intersection(element_relation,cross_product(universal_class,null_class))),
    inference(definition_unfolding,[],[f123,f124]) ).

fof(f191,definition,
    sF0 = cross_product(universal_class,null_class),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f192,plain,
    cross_product(universal_class,null_class) = sF0,
    inference(reorient_equations,[],[f191]) ).

fof(f193,definition,
    sF1 = intersection(element_relation,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f194,plain,
    intersection(element_relation,sF0) = sF1,
    inference(reorient_equations,[],[f193]) ).

fof(f195,definition,
    sF2 = domain_of(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f196,plain,
    domain_of(sF1) = sF2,
    inference(reorient_equations,[],[f195]) ).

fof(f197,plain,
    null_class != sF2,
    inference(definition_folding,[],[f186,f196,f194,f192]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f2,f21]) ).

fof(f203,plain,
    ! [X0] :
      ( member(X0,sF0)
      | ~ member(X0,sF1) ),
    inference(superposition,[],[f22,f194]) ).

fof(f228,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(f254,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(X2,X1))
      | member(second(X0),X1)
      | ~ member(X0,sF0) ),
    inference(superposition,[],[f228,f192]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ member(X0,sF0)
      | member(second(X0),null_class)
      | ~ member(X0,sF0) ),
    inference(superposition,[],[f254,f192]) ).

fof(f259,plain,
    ! [X0] :
      ( member(second(X0),null_class)
      | ~ member(X0,sF0) ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f201,f3]) ).

fof(f282,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f320,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(superposition,[],[f282,f70]) ).

fof(f322,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f320,f7]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f324,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f323,f282]) ).

fof(f333,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f144,f324]) ).

fof(f334,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f333]) ).

fof(f335,plain,
    null_class = domain_of(null_class),
    inference(resolution,[],[f334,f68]) ).

fof(f344,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(backward_demodulation,[],[f334,f335]) ).

fof(f346,plain,
    ! [X0] : ~ member(X0,sF0),
    inference(resolution,[],[f344,f259]) ).

fof(f353,plain,
    ! [X0] : ~ member(X0,sF1),
    inference(resolution,[],[f346,f203]) ).

fof(f397,plain,
    null_class = sF1,
    inference(resolution,[],[f353,f68]) ).

fof(f402,plain,
    sF2 = domain_of(null_class),
    inference(backward_demodulation,[],[f196,f397]) ).

fof(f422,plain,
    null_class = sF2,
    inference(forward_demodulation,[],[f402,f335]) ).

fof(f423,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f422,f197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET347-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.54  % Computer : n005.cluster.edu
% 0.12/0.54  % Model    : x86_64 x86_64
% 0.12/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.54  % Memory   : 8046.5625MB
% 0.12/0.54  % OS       : Linux 6.8.0-71-generic
% 0.12/0.54  % CPULimit : 300
% 0.12/0.54  % WCLimit  : 300
% 0.12/0.54  % DateTime : Mon Sep 28 01:32:32 UTC 2026
% 0.12/0.54  % CPUTime  : 
% 0.12/0.54  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.57  Running first-order theorem proving
% 0.16/0.58  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
% 9.62/2.49  % (348973)Input is clausal, will run a generic CNF schedule.
% 9.62/2.49  % (349063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=307029713:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.62/2.49  % (349060)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3986196195:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.62/2.49  % (349058)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=831317486:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.62/2.49  % (349061)lrs+10_1_sil=8000:sp=occurrence:random_seed=784243869:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.62/2.49  % (349062)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3174723942:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.62/2.49  % (349059)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1165192156:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.62/2.49  % (349064)dis-21_1_sil=8000:lcm=predicate:random_seed=2139996898: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)
% 9.62/2.49  % (349062)Instruction limit reached! 
% 9.62/2.49  % (349062)------------------------------
% 9.62/2.49  % (349062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349062)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349062)Termination reason: Instruction limit
% 9.62/2.49  % (349062)Termination phase: Saturation
% 9.62/2.49  % (349062)Time elapsed: 0.069 s
% 9.62/2.49  % (349062)Peak memory usage: 88 MB
% 9.62/2.49  % (349062)Instructions burned: 115 (million)
% 9.62/2.49  % (349061)Instruction limit reached! 
% 9.62/2.49  % (349061)------------------------------
% 9.62/2.49  % (349061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349061)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349061)Termination reason: Instruction limit
% 9.62/2.49  % (349061)Termination phase: Saturation
% 9.62/2.49  % (349061)Time elapsed: 0.074 s
% 9.62/2.49  % (349061)Peak memory usage: 90 MB
% 9.62/2.49  % (349061)Instructions burned: 108 (million)
% 9.62/2.49  % (349064)Instruction limit reached! 
% 9.62/2.49  % (349064)------------------------------
% 9.62/2.49  % (349064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349064)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349064)Termination reason: Instruction limit
% 9.62/2.49  % (349064)Termination phase: Saturation
% 9.62/2.49  % (349064)Time elapsed: 0.070 s
% 9.62/2.49  % (349064)Peak memory usage: 90 MB
% 9.62/2.49  % (349064)Instructions burned: 118 (million)
% 9.62/2.49  % (349063)Instruction limit reached! 
% 9.62/2.49  % (349063)------------------------------
% 9.62/2.49  % (349063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349063)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349063)Termination reason: Instruction limit
% 9.62/2.49  % (349063)Termination phase: Saturation
% 9.62/2.49  % (349063)Time elapsed: 0.112 s
% 9.62/2.49  % (349063)Peak memory usage: 91 MB
% 9.62/2.49  % (349063)Instructions burned: 180 (million)
% 9.62/2.49  % (349086)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1229068061: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)
% 9.62/2.49  % (349085)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=455940158:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.62/2.49  % (349085)Refutation not found, incomplete strategy
% 9.62/2.49  % (349085)------------------------------
% 9.62/2.49  % (349085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349085)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349085)Termination reason: Refutation not found, incomplete strategy
% 9.62/2.49  % (349085)Time elapsed: 0.003 s
% 9.62/2.49  % (349085)Peak memory usage: 87 MB
% 9.62/2.49  % (349085)Instructions burned: 3 (million)
% 9.62/2.49  % (349087)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3312018121:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.62/2.49  % (349087)Refutation not found, incomplete strategy
% 9.62/2.49  % (349087)------------------------------
% 9.62/2.49  % (349087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349087)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349087)Termination reason: Refutation not found, incomplete strategy
% 9.62/2.49  % (349087)Time elapsed: 0.003 s
% 9.62/2.49  % (349087)Peak memory usage: 88 MB
% 9.62/2.49  % (349087)Instructions burned: 4 (million)
% 9.62/2.49  % (349088)lrs+10_64_to=lpo:sil=8000:random_seed=3802143052:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.62/2.49  % (349086)Instruction limit reached! 
% 9.62/2.49  % (349086)------------------------------
% 9.62/2.49  % (349086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349086)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349086)Termination reason: Instruction limit
% 9.62/2.49  % (349086)Termination phase: Saturation
% 9.62/2.49  % (349086)Time elapsed: 0.136 s
% 9.62/2.49  % (349086)Peak memory usage: 89 MB
% 9.62/2.49  % (349086)Instructions burned: 190 (million)
% 9.62/2.49  % (349088)Instruction limit reached! 
% 9.62/2.49  % (349088)------------------------------
% 9.62/2.49  % (349088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349088)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349088)Termination reason: Instruction limit
% 9.62/2.49  % (349088)Termination phase: Saturation
% 9.62/2.49  % (349088)Time elapsed: 0.097 s
% 9.62/2.49  % (349088)Peak memory usage: 89 MB
% 9.62/2.49  % (349088)Instructions burned: 127 (million)
% 9.62/2.49  % (349102)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2576219165:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 9.62/2.49  % (349085)------------------------------
% 9.62/2.49  % (349085)------------------------------
% 9.62/2.49  % (349087)------------------------------
% 9.62/2.49  % (349087)------------------------------
% 9.62/2.49  % (349103)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=174490445:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.62/2.49  % (349102)Instruction limit reached! 
% 9.62/2.49  % (349102)------------------------------
% 9.62/2.49  % (349102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349102)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349102)Termination reason: Instruction limit
% 9.62/2.49  % (349102)Termination phase: Saturation
% 9.62/2.49  % (349102)Time elapsed: 0.188 s
% 9.62/2.49  % (349102)Peak memory usage: 89 MB
% 9.62/2.49  % (349102)Instructions burned: 195 (million)
% 9.62/2.49  % (349115)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2484682493:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 9.62/2.49  % (349103)Instruction limit reached! 
% 9.62/2.49  % (349103)------------------------------
% 9.62/2.49  % (349103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.49  % (349103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.49  % (349103)CaDiCaL version: 2.1.3
% 9.62/2.49  % (349103)Termination reason: Instruction limit
% 9.62/2.49  % (349103)Termination phase: Saturation
% 9.62/2.49  % (349103)Time elapsed: 0.173 s
% 9.62/2.49  % (349103)Peak memory usage: 91 MB
% 9.62/2.49  % (349103)Instructions burned: 157 (million)
% 9.62/2.49  % (349060)First to succeed.
% 9.62/2.49  % (349060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-348973"
% 9.62/2.49  % (349116)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=386741660:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 9.62/2.49  % (349058)Also succeeded, but the first one will report.
% 9.62/2.49  % (349121)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=592773447:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 10.96/2.76  % (349116)Instruction limit reached! 
% 10.96/2.76  % (349116)------------------------------
% 10.96/2.76  % (349116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76  % (349116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76  % (349116)CaDiCaL version: 2.1.3
% 10.96/2.76  % (349116)Termination reason: Instruction limit
% 10.96/2.76  % (349116)Termination phase: Saturation
% 10.96/2.76  % (349116)Time elapsed: 0.115 s
% 10.96/2.76  % (349116)Peak memory usage: 90 MB
% 10.96/2.76  % (349116)Instructions burned: 106 (million)
% 10.96/2.76  % (349121)Refutation not found, incomplete strategy
% 10.96/2.76  % (349121)------------------------------
% 10.96/2.76  % (349121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76  % (349121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76  % (349121)CaDiCaL version: 2.1.3
% 10.96/2.76  % (349121)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.76  % (349121)Time elapsed: 0.009 s
% 10.96/2.76  % (349121)Peak memory usage: 88 MB
% 10.96/2.76  % (349121)Instructions burned: 8 (million)
% 10.96/2.76  % (349125)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1968466759:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 10.96/2.76  % (349060)Refutation found. Thanks to Tanya!
% 10.96/2.76  % SZS status Unsatisfiable for theBenchmark
% 10.96/2.76  % SZS output start Proof for theBenchmark
% See solution above
% 10.96/2.76  % (349060)------------------------------
% 10.96/2.76  % (349060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.76  % (349060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.76  % (349060)CaDiCaL version: 2.1.3
% 10.96/2.76  % (349060)Termination reason: Refutation
% 10.96/2.76  % (349060)Time elapsed: 0.881 s
% 10.96/2.76  % (349060)Peak memory usage: 129 MB
% 10.96/2.76  % (349060)Instructions burned: 1036 (million)
% 10.96/2.76  % (349060)------------------------------
% 10.96/2.76  % (349060)------------------------------
% 10.96/2.76  % (348973)Success in time 1.471 s
% 10.96/2.76  % Vampire exiting
%------------------------------------------------------------------------------