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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR055+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 09:44:44 AM UTC 2026

% Result   : Theorem 12.20s 3.79s
% Output   : Refutation 12.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  12   ~;   5   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4028,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_4028) ).

fof(f7910,axiom,
    individual(c_xskijump_thegame),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_7910) ).

fof(f41385,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_41385) ).

fof(f44217,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query205) ).

fof(f44218,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44219,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(flattening,[],[f44218]) ).

fof(f47682,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f4028]) ).

fof(f64063,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f41385]) ).

fof(f70265,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f47682]) ).

fof(f74069,plain,
    individual(c_xskijump_thegame),
    inference(cnf_transformation,[],[f7910]) ).

fof(f105732,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | collection(X0) ),
    inference(cnf_transformation,[],[f64063]) ).

fof(f108041,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(cnf_transformation,[],[f44219]) ).

fof(f111216,plain,
    ! [X0] :
      ( ~ collection(X0)
      | individual(X0) ),
    inference(consistent_polarity_flipping,[],[f70265]) ).

fof(f114227,plain,
    ~ individual(c_xskijump_thegame),
    inference(consistent_polarity_flipping,[],[f74069]) ).

fof(f151997,plain,
    collection(c_xskijump_thegame),
    inference(resolution,[],[f105732,f108041]) ).

fof(f152000,plain,
    individual(c_xskijump_thegame),
    inference(resolution,[],[f151997,f111216]) ).

fof(f152001,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f152000,f114227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR055+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29  % Computer : n001.cluster.edu
% 0.24/0.29  % Model    : x86_64 x86_64
% 0.24/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.29  % Memory   : 8046.5625MB
% 0.24/0.29  % OS       : Linux 6.8.0-71-generic
% 0.24/0.29  % CPULimit : 300
% 0.24/0.29  % WCLimit  : 300
% 0.24/0.29  % DateTime : Mon Sep 28 22:25:19 UTC 2026
% 0.24/0.29  % CPUTime  : 
% 0.24/0.29  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.32  Running first-order model finding
% 0.24/0.32  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.20/3.72  % (816365)Will run a generic schedule for satisfiability detection.
% 12.20/3.72  % (816373)% WARNING: option uhcvi not known.
% 12.20/3.72  % (816376)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=614516873:i=116_2987 on theBenchmark for (2987ds/116Mi)
% 12.20/3.72  % (816372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=900318560_2987 on theBenchmark for (2987ds/0Mi)
% 12.20/3.72  % (816373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=879329391:i=135531:add=off:rawr=on_2987 on theBenchmark for (2987ds/135531Mi)
% 12.20/3.72  % (816374)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1396880749:i=88024:add=on:rawr=on_2987 on theBenchmark for (2987ds/88024Mi)
% 12.20/3.72  % (816375)dis+10_1_sil=32000:sp=arity:random_seed=3210980908:i=103:fgj=on_2987 on theBenchmark for (2987ds/103Mi)
% 12.20/3.72  % (816377)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4002553259:i=131_2987 on theBenchmark for (2987ds/131Mi)
% 12.20/3.72  % (816378)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=354606624:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2987 on theBenchmark for (2987ds/159Mi)
% 12.20/3.72  % (816376)Instruction limit reached! 
% 12.20/3.72  % (816376)------------------------------
% 12.20/3.72  % (816376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.72  % (816376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.72  % (816376)CaDiCaL version: 2.1.3
% 12.20/3.72  % (816376)Termination reason: Instruction limit
% 12.20/3.72  % (816376)Termination phase: Preprocessing 2
% 12.20/3.72  % (816376)Time elapsed: 0.108 s
% 12.20/3.72  % (816376)Peak memory usage: 61 MB
% 12.20/3.72  % (816376)Instructions burned: 116 (million)
% 12.20/3.72  % (816386)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1222121282:i=714:nm=2_2986 on theBenchmark for (2986ds/714Mi)
% 12.20/3.72  % (816375)Instruction limit reached! 
% 12.20/3.72  % (816375)------------------------------
% 12.20/3.72  % (816375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.72  % (816375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.72  % (816375)CaDiCaL version: 2.1.3
% 12.20/3.72  % (816375)Termination reason: Instruction limit
% 12.20/3.72  % (816375)Termination phase: Preprocessing 2
% 12.20/3.72  % (816375)Time elapsed: 0.141 s
% 12.20/3.72  % (816375)Peak memory usage: 61 MB
% 12.20/3.72  % (816375)Instructions burned: 103 (million)
% 12.20/3.72  % (816377)Instruction limit reached! 
% 12.20/3.72  % (816377)------------------------------
% 12.20/3.72  % (816377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.72  % (816377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.72  % (816377)CaDiCaL version: 2.1.3
% 12.20/3.72  % (816377)Termination reason: Instruction limit
% 12.20/3.72  % (816377)Termination phase: Preprocessing 2
% 12.20/3.72  % (816377)Time elapsed: 0.172 s
% 12.20/3.72  % (816377)Peak memory usage: 61 MB
% 12.20/3.72  % (816377)Instructions burned: 131 (million)
% 12.20/3.72  % (816388)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1347862867:i=131:bd=preordered:fsd=on_2986 on theBenchmark for (2986ds/131Mi)
% 12.20/3.72  % (816378)Instruction limit reached! 
% 12.20/3.72  % (816378)------------------------------
% 12.20/3.72  % (816378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.72  % (816378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.72  % (816378)CaDiCaL version: 2.1.3
% 12.20/3.72  % (816378)Termination reason: Instruction limit
% 12.20/3.72  % (816378)Termination phase: Naming
% 12.20/3.72  % (816378)Time elapsed: 0.192 s
% 12.20/3.72  % (816378)Peak memory usage: 62 MB
% 12.20/3.72  % (816378)Instructions burned: 159 (million)
% 12.20/3.72  % (816390)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1745402016:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2985 on theBenchmark for (2985ds/684Mi)
% 12.20/3.72  % (816391)ott-21_1_sil=16000:fs=off:random_seed=807252169:i=180:av=off:fsr=off_2985 on theBenchmark for (2985ds/180Mi)
% 12.20/3.72  % (816388)Instruction limit reached! 
% 12.20/3.72  % (816388)------------------------------
% 12.20/3.72  % (816388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.72  % (816388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.72  % (816388)CaDiCaL version: 2.1.3
% 12.20/3.72  % (816388)Termination reason: Instruction limit
% 12.20/3.79  % (816388)Termination phase: Preprocessing 2
% 12.20/3.79  % (816388)Time elapsed: 0.109 s
% 12.20/3.79  % (816388)Peak memory usage: 61 MB
% 12.20/3.79  % (816388)Instructions burned: 132 (million)
% 12.20/3.79  % (816394)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2958856753:i=477:bd=all_2984 on theBenchmark for (2984ds/477Mi)
% 12.20/3.79  % (816391)Instruction limit reached! 
% 12.20/3.79  % (816391)------------------------------
% 12.20/3.79  % (816391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816391)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816391)Termination reason: Instruction limit
% 12.20/3.79  % (816391)Termination phase: Preprocessing 3
% 12.20/3.79  % (816391)Time elapsed: 0.210 s
% 12.20/3.79  % (816391)Peak memory usage: 62 MB
% 12.20/3.79  % (816391)Instructions burned: 180 (million)
% 12.20/3.79  % (816396)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1705363260:fmbsr=1.3:i=865:ins=25_2982 on theBenchmark for (2982ds/865Mi)
% 12.20/3.79  % (816394)Instruction limit reached! 
% 12.20/3.79  % (816394)------------------------------
% 12.20/3.79  % (816394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816394)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816394)Termination reason: Instruction limit
% 12.20/3.79  % (816394)Termination phase: Property scanning
% 12.20/3.79  % (816394)Time elapsed: 0.299 s
% 12.20/3.79  % (816394)Peak memory usage: 66 MB
% 12.20/3.79  % (816394)Instructions burned: 484 (million)
% 12.20/3.79  % (816400)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3797708252:i=1179_2981 on theBenchmark for (2981ds/1179Mi)
% 12.20/3.79  % (816386)Instruction limit reached! 
% 12.20/3.79  % (816386)------------------------------
% 12.20/3.79  % (816386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816386)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816386)Termination reason: Instruction limit
% 12.20/3.79  % (816386)Termination phase: Finite model building preprocessing
% 12.20/3.79  % (816386)Time elapsed: 0.685 s
% 12.20/3.79  % (816386)Peak memory usage: 68 MB
% 12.20/3.79  % (816386)Instructions burned: 714 (million)
% 12.20/3.79  % (816402)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1045110527:i=889:ins=1_2979 on theBenchmark for (2979ds/889Mi)
% 12.20/3.79  % (816390)Instruction limit reached! 
% 12.20/3.79  % (816390)------------------------------
% 12.20/3.79  % (816390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816390)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816390)Termination reason: Instruction limit
% 12.20/3.79  % (816390)Termination phase: Property scanning
% 12.20/3.79  % (816390)Time elapsed: 0.736 s
% 12.20/3.79  % (816390)Peak memory usage: 73 MB
% 12.20/3.79  % (816390)Instructions burned: 685 (million)
% 12.20/3.79  % (816404)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4269706040:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2977 on theBenchmark for (2977ds/692Mi)
% 12.20/3.79  % (816396)Instruction limit reached! 
% 12.20/3.79  % (816396)------------------------------
% 12.20/3.79  % (816396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816396)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816396)Termination reason: Instruction limit
% 12.20/3.79  % (816396)Termination phase: Finite model building preprocessing
% 12.20/3.79  % (816396)Time elapsed: 0.892 s
% 12.20/3.79  % (816396)Peak memory usage: 86 MB
% 12.20/3.79  % (816396)Instructions burned: 866 (million)
% 12.20/3.79  % (816406)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1998052420:i=879:kws=inv_precedence:fsr=off_2973 on theBenchmark for (2973ds/879Mi)
% 12.20/3.79  % (816404)Instruction limit reached! 
% 12.20/3.79  % (816404)------------------------------
% 12.20/3.79  % (816404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816404)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816404)Termination reason: Instruction limit
% 12.20/3.79  % (816404)Termination phase: Property scanning
% 12.20/3.79  % (816404)Time elapsed: 0.770 s
% 12.20/3.79  % (816404)Peak memory usage: 75 MB
% 12.20/3.79  % (816404)Instructions burned: 692 (million)
% 12.20/3.79  % (816402)Instruction limit reached! 
% 12.20/3.79  % (816402)------------------------------
% 12.20/3.79  % (816402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816402)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816402)Termination reason: Instruction limit
% 12.20/3.79  % (816402)Termination phase: Finite model building preprocessing
% 12.20/3.79  % (816402)Time elapsed: 0.920 s
% 12.20/3.79  % (816402)Peak memory usage: 86 MB
% 12.20/3.79  % (816402)Instructions burned: 890 (million)
% 12.20/3.79  % (816400)Instruction limit reached! 
% 12.20/3.79  % (816400)------------------------------
% 12.20/3.79  % (816400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816400)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816400)Termination reason: Instruction limit
% 12.20/3.79  % (816400)Termination phase: Saturation
% 12.20/3.79  % (816400)Time elapsed: 1.164 s
% 12.20/3.79  % (816400)Peak memory usage: 81 MB
% 12.20/3.79  % (816400)Instructions burned: 1179 (million)
% 12.20/3.79  % (816408)fmb+10_1_sil=64000:random_seed=18223382:i=22061:nm=2:gsp=on_2969 on theBenchmark for (2969ds/22061Mi)
% 12.20/3.79  % (816409)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3866210315:i=9515:nm=5_2969 on theBenchmark for (2969ds/9515Mi)
% 12.20/3.79  % (816410)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2780693590:fmbsr=1.7:i=920_2969 on theBenchmark for (2969ds/920Mi)
% 12.20/3.79  % (816373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-816365-816373"...
% 12.20/3.79  % (816373)...printing done.
% 12.20/3.79  % (816373)Refutation found. Thanks to Tanya!
% 12.20/3.79  % SZS status Theorem for theBenchmark
% 12.20/3.79  % SZS output start Proof for theBenchmark
% See solution above
% 12.20/3.79  % (816373)------------------------------
% 12.20/3.79  % (816373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.20/3.79  % (816373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.20/3.79  % (816373)CaDiCaL version: 2.1.3
% 12.20/3.79  % (816373)Termination reason: Refutation
% 12.20/3.79  % (816373)Time elapsed: 1.980 s
% 12.20/3.79  % (816373)Peak memory usage: 99 MB
% 12.20/3.79  % (816373)Instructions burned: 1878 (million)
% 12.20/3.79  % (816365)Success in time 3.39 s
% 12.20/3.79  % Vampire exiting
%------------------------------------------------------------------------------