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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL215-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 11:51:36 AM UTC 2026

% Result   : Unsatisfiable 8.95s 2.24s
% Output   : Refutation 8.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   63 (  45 unt;   7 def)
%            Number of atoms       :   85 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  25   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f6,axiom,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ axiom(X0)
      | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(implies(X1,X0))
      | ~ theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f9,negated_conjecture,
    ~ theorem(implies(implies(p,q),implies(or(p,q),q))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f10,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f11,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f13,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f14,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),X0))
      | theorem(X0)
      | ~ theorem(X1) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f16,plain,
    ~ theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))),
    inference(definition_unfolding,[],[f9,f6,f6,f6]) ).

fof(f17,definition,
    sF0 = not(p),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f18,plain,
    not(p) = sF0,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF1 = or(sF0,q),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f20,plain,
    or(sF0,q) = sF1,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF2 = not(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f22,plain,
    not(sF1) = sF2,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF3 = or(p,q),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f24,plain,
    or(p,q) = sF3,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF4 = not(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f26,plain,
    not(sF3) = sF4,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF5 = or(sF4,q),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f28,plain,
    or(sF4,q) = sF5,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF6 = or(sF2,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f30,plain,
    or(sF2,sF5) = sF6,
    inference(reorient_equations,[],[f29]) ).

fof(f31,plain,
    ~ theorem(sF6),
    inference(definition_folding,[],[f16,f30,f28,f26,f24,f22,f20,f18]) ).

fof(f32,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f14,f7]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f15,f32]) ).

fof(f87,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f11,f7]) ).

fof(f102,plain,
    theorem(or(not(q),sF5)),
    inference(superposition,[],[f87,f28]) ).

fof(f103,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f13,f7]) ).

fof(f112,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f12,f7]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f112,f15]) ).

fof(f141,plain,
    ! [X0] : theorem(or(not(or(sF2,or(X0,sF5))),or(X0,sF6))),
    inference(superposition,[],[f103,f30]) ).

fof(f142,plain,
    ! [X0] : theorem(or(not(or(sF4,or(X0,q))),or(X0,sF5))),
    inference(superposition,[],[f103,f28]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ theorem(or(sF4,or(X0,q)))
      | theorem(or(X0,sF5)) ),
    inference(resolution,[],[f142,f15]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ theorem(or(sF2,or(X0,sF5)))
      | theorem(or(X0,sF6)) ),
    inference(resolution,[],[f141,f15]) ).

fof(f179,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f10,f7]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f179,f15]) ).

fof(f183,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f59,f15]) ).

fof(f187,plain,
    ! [X0] :
      ( theorem(or(not(sF1),or(sF0,X0)))
      | ~ theorem(or(not(q),X0)) ),
    inference(superposition,[],[f59,f20]) ).

fof(f194,plain,
    ! [X0] :
      ( theorem(or(sF2,or(sF0,X0)))
      | ~ theorem(or(not(q),X0)) ),
    inference(forward_demodulation,[],[f187,f22]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f183,f87]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f183,f179]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ theorem(or(sF0,X0))
      | theorem(or(X1,X0))
      | ~ theorem(or(X1,p)) ),
    inference(superposition,[],[f183,f18]) ).

fof(f224,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f203,f87]) ).

fof(f247,plain,
    theorem(or(sF4,sF3)),
    inference(superposition,[],[f224,f26]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF5))
      | theorem(or(X0,sF6)) ),
    inference(superposition,[],[f202,f30]) ).

fof(f384,plain,
    ( ~ theorem(or(not(q),sF5))
    | theorem(or(sF0,sF6)) ),
    inference(resolution,[],[f194,f175]) ).

fof(f401,plain,
    theorem(or(sF0,sF6)),
    inference(forward_subsumption_resolution,[],[f384,f102]) ).

fof(f482,plain,
    ( ~ theorem(or(sF4,sF3))
    | theorem(or(p,sF5)) ),
    inference(superposition,[],[f151,f24]) ).

fof(f494,plain,
    theorem(or(p,sF5)),
    inference(forward_subsumption_resolution,[],[f482,f247]) ).

fof(f497,plain,
    theorem(or(p,sF6)),
    inference(resolution,[],[f494,f263]) ).

fof(f499,plain,
    theorem(or(sF6,p)),
    inference(resolution,[],[f497,f123]) ).

fof(f698,plain,
    ! [X0] :
      ( ~ theorem(or(X0,p))
      | theorem(or(X0,sF6)) ),
    inference(resolution,[],[f204,f401]) ).

fof(f707,plain,
    theorem(or(sF6,sF6)),
    inference(resolution,[],[f698,f499]) ).

fof(f709,plain,
    theorem(sF6),
    inference(resolution,[],[f707,f180]) ).

fof(f711,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f709,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL215-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n012.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 15:26:50 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 7.12/2.02  % (2512866)Input is clausal, will run a generic CNF schedule.
% 7.12/2.02  % (2512879)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=58817790:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.12/2.02  % (2512880)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1361384953:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.12/2.02  % (2512881)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2385314880:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.12/2.02  % (2512882)lrs+10_1_sil=8000:sp=occurrence:random_seed=3000980076:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.12/2.02  % (2512885)dis-21_1_sil=8000:lcm=predicate:random_seed=2772123216: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)
% 7.12/2.02  % (2512884)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2808145586:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.12/2.02  % (2512883)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4058578912:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.12/2.02  % (2512885)Instruction limit reached! 
% 7.12/2.02  % (2512885)------------------------------
% 7.12/2.02  % (2512885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512885)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512885)Termination reason: Instruction limit
% 7.12/2.02  % (2512885)Termination phase: Saturation
% 7.12/2.02  % (2512885)Time elapsed: 0.048 s
% 7.12/2.02  % (2512885)Peak memory usage: 87 MB
% 7.12/2.02  % (2512885)Instructions burned: 119 (million)
% 7.12/2.02  % (2512883)Instruction limit reached! 
% 7.12/2.02  % (2512883)------------------------------
% 7.12/2.02  % (2512883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512883)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512883)Termination reason: Instruction limit
% 7.12/2.02  % (2512883)Termination phase: Saturation
% 7.12/2.02  % (2512883)Time elapsed: 0.056 s
% 7.12/2.02  % (2512883)Peak memory usage: 87 MB
% 7.12/2.02  % (2512883)Instructions burned: 116 (million)
% 7.12/2.02  % (2512882)Instruction limit reached! 
% 7.12/2.02  % (2512882)------------------------------
% 7.12/2.02  % (2512882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512882)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512882)Termination reason: Instruction limit
% 7.12/2.02  % (2512882)Termination phase: Saturation
% 7.12/2.02  % (2512882)Time elapsed: 0.058 s
% 7.12/2.02  % (2512882)Peak memory usage: 89 MB
% 7.12/2.02  % (2512882)Instructions burned: 110 (million)
% 7.12/2.02  % (2512884)Instruction limit reached! 
% 7.12/2.02  % (2512884)------------------------------
% 7.12/2.02  % (2512884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512884)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512884)Termination reason: Instruction limit
% 7.12/2.02  % (2512884)Termination phase: Saturation
% 7.12/2.02  % (2512884)Time elapsed: 0.102 s
% 7.12/2.02  % (2512884)Peak memory usage: 89 MB
% 7.12/2.02  % (2512884)Instructions burned: 180 (million)
% 7.12/2.02  % (2512893)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=2954206175:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.12/2.02  % (2512893)Refutation not found, incomplete strategy
% 7.12/2.02  % (2512893)------------------------------
% 7.12/2.02  % (2512893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512893)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512893)Termination reason: Refutation not found, incomplete strategy
% 7.12/2.02  % (2512893)Time elapsed: 0.001 s
% 7.12/2.02  % (2512893)Peak memory usage: 88 MB
% 7.12/2.02  % (2512894)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1165224363: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)
% 7.12/2.02  % (2512894)Refutation not found, incomplete strategy
% 7.12/2.02  % (2512894)------------------------------
% 7.12/2.02  % (2512894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512894)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512894)Termination reason: Refutation not found, incomplete strategy
% 7.12/2.02  % (2512894)Time elapsed: 0.001 s
% 7.12/2.02  % (2512894)Peak memory usage: 87 MB
% 7.12/2.02  % (2512895)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2554693491:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.12/2.02  % (2512895)Refutation not found, incomplete strategy
% 7.12/2.02  % (2512895)------------------------------
% 7.12/2.02  % (2512895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512895)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512895)Termination reason: Refutation not found, incomplete strategy
% 7.12/2.02  % (2512895)Time elapsed: 0.001 s
% 7.12/2.02  % (2512895)Peak memory usage: 87 MB
% 7.12/2.02  % (2512896)lrs+10_64_to=lpo:sil=8000:random_seed=2565470960:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.12/2.02  % (2512896)Instruction limit reached! 
% 7.12/2.02  % (2512896)------------------------------
% 7.12/2.02  % (2512896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512896)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512896)Termination reason: Instruction limit
% 7.12/2.02  % (2512896)Termination phase: Saturation
% 7.12/2.02  % (2512896)Time elapsed: 0.062 s
% 7.12/2.02  % (2512896)Peak memory usage: 89 MB
% 7.12/2.02  % (2512896)Instructions burned: 128 (million)
% 7.12/2.02  % (2512893)------------------------------
% 7.12/2.02  % (2512893)------------------------------
% 7.12/2.02  % (2512894)------------------------------
% 7.12/2.02  % (2512894)------------------------------
% 7.12/2.02  % (2512895)------------------------------
% 7.12/2.02  % (2512895)------------------------------
% 7.12/2.02  % (2512901)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2161824222:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 7.12/2.02  % (2512879)First to succeed.
% 7.12/2.02  % (2512879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2512866"
% 7.12/2.02  % (2512901)Instruction limit reached! 
% 7.12/2.02  % (2512901)------------------------------
% 7.12/2.02  % (2512901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512901)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512901)Termination reason: Instruction limit
% 7.12/2.02  % (2512901)Termination phase: Saturation
% 7.12/2.02  % (2512901)Time elapsed: 0.105 s
% 7.12/2.02  % (2512901)Peak memory usage: 90 MB
% 7.12/2.02  % (2512901)Instructions burned: 196 (million)
% 7.12/2.02  % (2512902)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3280805391:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 7.12/2.02  % (2512903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=130980799:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 7.12/2.02  % (2512904)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=744960742:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 7.12/2.02  % (2512904)Instruction limit reached! 
% 7.12/2.02  % (2512904)------------------------------
% 7.12/2.02  % (2512904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.12/2.02  % (2512904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.12/2.02  % (2512904)CaDiCaL version: 2.1.3
% 7.12/2.02  % (2512904)Termination reason: Instruction limit
% 7.12/2.02  % (2512904)Termination phase: Saturation
% 7.12/2.02  % (2512904)Time elapsed: 0.048 s
% 7.12/2.02  % (2512904)Peak memory usage: 89 MB
% 7.12/2.02  % (2512904)Instructions burned: 106 (million)
% 7.12/2.02  % (2512902)Instruction limit reached! 
% 7.12/2.02  % (2512902)------------------------------
% 7.12/2.02  % (2512902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.24  % (2512902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.24  % (2512902)CaDiCaL version: 2.1.3
% 8.95/2.24  % (2512902)Termination reason: Instruction limit
% 8.95/2.24  % (2512902)Termination phase: Saturation
% 8.95/2.24  % (2512902)Time elapsed: 0.097 s
% 8.95/2.24  % (2512902)Peak memory usage: 91 MB
% 8.95/2.24  % (2512902)Instructions burned: 157 (million)
% 8.95/2.24  % (2512906)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1826889339:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 8.95/2.24  % (2512906)Refutation not found, incomplete strategy
% 8.95/2.24  % (2512906)------------------------------
% 8.95/2.24  % (2512906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.24  % (2512906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.24  % (2512906)CaDiCaL version: 2.1.3
% 8.95/2.24  % (2512906)Termination reason: Refutation not found, incomplete strategy
% 8.95/2.24  % (2512906)Time elapsed: 0.001 s
% 8.95/2.24  % (2512906)Peak memory usage: 87 MB
% 8.95/2.24  % (2512879)Refutation found. Thanks to Tanya!
% 8.95/2.24  % SZS status Unsatisfiable for theBenchmark
% 8.95/2.24  % SZS output start Proof for theBenchmark
% See solution above
% 8.95/2.24  % (2512879)------------------------------
% 8.95/2.24  % (2512879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.24  % (2512879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.24  % (2512879)CaDiCaL version: 2.1.3
% 8.95/2.24  % (2512879)Termination reason: Refutation
% 8.95/2.24  % (2512879)Time elapsed: 0.712 s
% 8.95/2.24  % (2512879)Peak memory usage: 129 MB
% 8.95/2.24  % (2512879)Instructions burned: 1128 (million)
% 8.95/2.24  % (2512879)------------------------------
% 8.95/2.24  % (2512879)------------------------------
% 8.95/2.24  % (2512866)Success in time 1.193 s
% 8.95/2.24  % Vampire exiting
%------------------------------------------------------------------------------