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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR103+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 09:43:03 AM UTC 2026

% Result   : Theorem 12.75s 5.09s
% Output   : Refutation 12.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (   4   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27191,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27371) ).

fof(f145102,conjecture,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f145103,negated_conjecture,
    ~ ! [X0] : s__instance(X0,s__Entity),
    inference(negated_conjecture,[status(cth)],[f145102]) ).

fof(f145105,plain,
    ? [X0] : ~ s__instance(X0,s__Entity),
    inference(ennf_transformation,[],[f145103]) ).

fof(f145106,plain,
    ~ s__instance(sK0,s__Entity),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f145105]) ).

fof(f145108,plain,
    ~ s__instance(sK0,s__Entity),
    inference(cnf_transformation,[],[f145106]) ).

fof(f145111,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f27191]) ).

fof(f145112,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f145108,f145111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR103+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n013.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 22:51:51 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 12.75/5.09  % (1669582)Detected formulas, will run a generic FOF schedule.
% 12.75/5.09  % (1669591)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2964896319:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 12.75/5.09  % (1669587)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=3413514995:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 12.75/5.09  % (1669588)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1649825946:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 12.75/5.09  % (1669590)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4089987711:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 12.75/5.09  % (1669589)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1104674496:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 12.75/5.09  % (1669592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4189514824:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 12.75/5.09  % (1669591)Instruction limit reached! 
% 12.75/5.09  % (1669591)------------------------------
% 12.75/5.09  % (1669591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669591)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669591)Termination reason: Instruction limit
% 12.75/5.09  % (1669591)Termination phase: SInE selection
% 12.75/5.09  % (1669591)Time elapsed: 0.044 s
% 12.75/5.09  % (1669591)Peak memory usage: 165 MB
% 12.75/5.09  % (1669591)Instructions burned: 120 (million)
% 12.75/5.09  % (1669593)dis-21_1_sil=8000:lcm=predicate:random_seed=2075762953:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2971 on theBenchmark for (2971ds/129Mi)
% 12.75/5.09  % (1669590)Instruction limit reached! 
% 12.75/5.09  % (1669590)------------------------------
% 12.75/5.09  % (1669590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669590)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669590)Termination reason: Instruction limit
% 12.75/5.09  % (1669590)Termination phase: SInE selection
% 12.75/5.09  % (1669590)Time elapsed: 0.067 s
% 12.75/5.09  % (1669590)Peak memory usage: 164 MB
% 12.75/5.09  % (1669590)Instructions burned: 109 (million)
% 12.75/5.09  % (1669592)Instruction limit reached! 
% 12.75/5.09  % (1669592)------------------------------
% 12.75/5.09  % (1669592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669592)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669592)Termination reason: Instruction limit
% 12.75/5.09  % (1669592)Termination phase: Property scanning
% 12.75/5.09  % (1669592)Time elapsed: 0.077 s
% 12.75/5.09  % (1669592)Peak memory usage: 165 MB
% 12.75/5.09  % (1669592)Instructions burned: 140 (million)
% 12.75/5.09  % (1669593)Instruction limit reached! 
% 12.75/5.09  % (1669593)------------------------------
% 12.75/5.09  % (1669593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669593)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669593)Termination reason: Instruction limit
% 12.75/5.09  % (1669593)Termination phase: SInE selection
% 12.75/5.09  % (1669593)Time elapsed: 0.078 s
% 12.75/5.09  % (1669593)Peak memory usage: 165 MB
% 12.75/5.09  % (1669593)Instructions burned: 131 (million)
% 12.75/5.09  % (1669600)lrs+10_1_sil=8000:sp=occurrence:random_seed=894395333:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 12.75/5.09  % (1669602)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3031697985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/157Mi)
% 12.75/5.09  % (1669603)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2336134095:i=325:sd=1:ss=axioms:sgt=32_2968 on theBenchmark for (2968ds/325Mi)
% 12.75/5.09  % (1669600)Instruction limit reached! 
% 12.75/5.09  % (1669600)------------------------------
% 12.75/5.09  % (1669600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669600)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669600)Termination reason: Instruction limit
% 12.75/5.09  % (1669600)Termination phase: SInE selection
% 12.75/5.09  % (1669600)Time elapsed: 0.101 s
% 12.75/5.09  % (1669600)Peak memory usage: 165 MB
% 12.75/5.09  % (1669600)Instructions burned: 289 (million)
% 12.75/5.09  % (1669604)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1292693976:s2a=on:i=248:s2at=1.23:gtg=position_2968 on theBenchmark for (2968ds/248Mi)
% 12.75/5.09  % (1669602)Instruction limit reached! 
% 12.75/5.09  % (1669602)------------------------------
% 12.75/5.09  % (1669602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669602)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669602)Termination reason: Instruction limit
% 12.75/5.09  % (1669602)Termination phase: Property scanning
% 12.75/5.09  % (1669602)Time elapsed: 0.083 s
% 12.75/5.09  % (1669602)Peak memory usage: 165 MB
% 12.75/5.09  % (1669602)Instructions burned: 158 (million)
% 12.75/5.09  % (1669608)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1422574484:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 12.75/5.09  % (1669604)Instruction limit reached! 
% 12.75/5.09  % (1669604)------------------------------
% 12.75/5.09  % (1669604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669604)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669604)Termination reason: Instruction limit
% 12.75/5.09  % (1669604)Termination phase: Property scanning
% 12.75/5.09  % (1669604)Time elapsed: 0.124 s
% 12.75/5.09  % (1669604)Peak memory usage: 165 MB
% 12.75/5.09  % (1669604)Instructions burned: 248 (million)
% 12.75/5.09  % (1669603)Instruction limit reached! 
% 12.75/5.09  % (1669603)------------------------------
% 12.75/5.09  % (1669603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669603)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669603)Termination reason: Instruction limit
% 12.75/5.09  % (1669603)Termination phase: SInE selection
% 12.75/5.09  % (1669603)Time elapsed: 0.178 s
% 12.75/5.09  % (1669603)Peak memory usage: 165 MB
% 12.75/5.09  % (1669603)Instructions burned: 327 (million)
% 12.75/5.09  % (1669610)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2645909853:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 12.75/5.09  % (1669608)Instruction limit reached! 
% 12.75/5.09  % (1669608)------------------------------
% 12.75/5.09  % (1669608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669608)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669608)Termination reason: Instruction limit
% 12.75/5.09  % (1669608)Termination phase: SInE selection
% 12.75/5.09  % (1669608)Time elapsed: 0.091 s
% 12.75/5.09  % (1669608)Peak memory usage: 165 MB
% 12.75/5.09  % (1669608)Instructions burned: 296 (million)
% 12.75/5.09  % (1669613)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1026576303:i=127:av=off:fsr=off:sup=off_2965 on theBenchmark for (2965ds/127Mi)
% 12.75/5.09  % (1669612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2115578893:cts=off:i=113:fsr=off:ss=included:sgt=4_2965 on theBenchmark for (2965ds/113Mi)
% 12.75/5.09  % (1669615)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2348671442:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2965 on theBenchmark for (2965ds/114Mi)
% 12.75/5.09  % (1669612)Instruction limit reached! 
% 12.75/5.09  % (1669612)------------------------------
% 12.75/5.09  % (1669612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669612)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669612)Termination reason: Instruction limit
% 12.75/5.09  % (1669612)Termination phase: SInE selection
% 12.75/5.09  % (1669612)Time elapsed: 0.064 s
% 12.75/5.09  % (1669612)Peak memory usage: 164 MB
% 12.75/5.09  % (1669612)Instructions burned: 114 (million)
% 12.75/5.09  % (1669615)Instruction limit reached! 
% 12.75/5.09  % (1669615)------------------------------
% 12.75/5.09  % (1669615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669615)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669615)Termination reason: Instruction limit
% 12.75/5.09  % (1669615)Termination phase: Property scanning
% 12.75/5.09  % (1669615)Time elapsed: 0.038 s
% 12.75/5.09  % (1669615)Peak memory usage: 165 MB
% 12.75/5.09  % (1669615)Instructions burned: 114 (million)
% 12.75/5.09  % (1669613)Instruction limit reached! 
% 12.75/5.09  % (1669613)------------------------------
% 12.75/5.09  % (1669613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669613)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669613)Termination reason: Instruction limit
% 12.75/5.09  % (1669613)Termination phase: Preprocessing 1
% 12.75/5.09  % (1669613)Time elapsed: 0.084 s
% 12.75/5.09  % (1669613)Peak memory usage: 165 MB
% 12.75/5.09  % (1669613)Instructions burned: 127 (million)
% 12.75/5.09  % (1669620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3958890634:i=437:sd=1:aac=none:ss=included_2963 on theBenchmark for (2963ds/437Mi)
% 12.75/5.09  % (1669619)lrs+10_1_sil=8000:sp=occurrence:random_seed=2752200050:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2963 on theBenchmark for (2963ds/907Mi)
% 12.75/5.09  % (1669621)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3324413380:i=5202:ss=axioms:sgt=16_2963 on theBenchmark for (2963ds/5202Mi)
% 12.75/5.09  % (1669620)First to succeed.
% 12.75/5.09  % (1669620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1669582"
% 12.75/5.09  % (1669619)Also succeeded, but the first one will report.
% 12.75/5.09  % (1669620)Refutation found. Thanks to Tanya!
% 12.75/5.09  % SZS status Theorem for theBenchmark
% 12.75/5.09  % SZS output start Proof for theBenchmark
% See solution above
% 12.75/5.09  % (1669620)------------------------------
% 12.75/5.09  % (1669620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/5.09  % (1669620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/5.09  % (1669620)CaDiCaL version: 2.1.3
% 12.75/5.09  % (1669620)Termination reason: Refutation
% 12.75/5.09  % (1669620)Time elapsed: 0.142 s
% 12.75/5.09  % (1669620)Peak memory usage: 169 MB
% 12.75/5.09  % (1669620)Instructions burned: 401 (million)
% 12.75/5.09  % (1669620)------------------------------
% 12.75/5.09  % (1669620)------------------------------
% 12.75/5.09  % (1669582)Success in time 4.141 s
% 12.75/5.09  % Vampire exiting
%------------------------------------------------------------------------------