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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 01:39:54 PM UTC 2026

% Result   : Theorem 1.05s 0.88s
% Output   : Refutation 1.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   26 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,X1) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
       => hBOOL(hAPP(c_Com_OWT,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).

fof(f5227,axiom,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f5229,axiom,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

fof(f5230,conjecture,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(f5231,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(negated_conjecture,[status(cth)],[f5230]) ).

fof(f5251,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(flattening,[],[f5231]) ).

fof(f5428,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Com_OWT,X0))
      | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
      | ~ c_Com_OWT__bodies ),
    inference(ennf_transformation,[],[f2]) ).

fof(f5429,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Com_OWT,X0))
      | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
      | ~ c_Com_OWT__bodies ),
    inference(flattening,[],[f5428]) ).

fof(f11055,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Com_OWT,X0))
      | hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
      | ~ c_Com_OWT__bodies ),
    inference(cnf_transformation,[],[f5429]) ).

fof(f18094,plain,
    c_Com_OWT__bodies,
    inference(cnf_transformation,[],[f5227]) ).

fof(f18096,plain,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(cnf_transformation,[],[f5229]) ).

fof(f18097,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(cnf_transformation,[],[f5251]) ).

fof(f19593,plain,
    ! [X0,X1] :
      ( hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X0)
      | hBOOL(hAPP(c_Com_OWT,X0)) ),
    inference(global_subsumption,[],[f11055,f18094]) ).

fof(f19760,plain,
    ! [X0] :
      ( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn)
      | hBOOL(hAPP(c_Com_OWT,v_y)) ),
    inference(superposition,[],[f19593,f18096]) ).

fof(f19761,plain,
    ! [X0] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn),
    inference(forward_subsumption_resolution,[],[f19760,f18097]) ).

fof(f19762,plain,
    $false,
    inference(equality_resolution,[],[f19761]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17  % Computer : n009.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Mon Sep 28 13:44:00 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 1.05/0.88  % (3032089)Will run a generic schedule for satisfiability detection.
% 1.05/0.88  % (3032096)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3255673640:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 1.05/0.88  % (3032095)% WARNING: option uhcvi not known.
% 1.05/0.88  % (3032094)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1680767395_2996 on theBenchmark for (2996ds/0Mi)
% 1.05/0.88  % (3032095)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=169111719:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 1.05/0.88  % (3032097)dis+10_1_sil=32000:sp=arity:random_seed=3715387484:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 1.05/0.88  % (3032098)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=737662297:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 1.05/0.88  % (3032099)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=155056634:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 1.05/0.88  % (3032100)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4186745799:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 1.05/0.88  % (3032097)Instruction limit reached! 
% 1.05/0.88  % (3032097)------------------------------
% 1.05/0.88  % (3032097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032097)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032097)Termination reason: Instruction limit
% 1.05/0.88  % (3032097)Termination phase: Preprocessing 3
% 1.05/0.88  % (3032097)Time elapsed: 0.066 s
% 1.05/0.88  % (3032097)Peak memory usage: 19 MB
% 1.05/0.88  % (3032097)Instructions burned: 104 (million)
% 1.05/0.88  % (3032098)Instruction limit reached! 
% 1.05/0.88  % (3032098)------------------------------
% 1.05/0.88  % (3032098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032098)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032098)Termination reason: Instruction limit
% 1.05/0.88  % (3032098)Termination phase: NewCNF
% 1.05/0.88  % (3032098)Time elapsed: 0.077 s
% 1.05/0.88  % (3032098)Peak memory usage: 21 MB
% 1.05/0.88  % (3032098)Instructions burned: 117 (million)
% 1.05/0.88  % (3032099)Instruction limit reached! 
% 1.05/0.88  % (3032099)------------------------------
% 1.05/0.88  % (3032099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032099)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032099)Termination reason: Instruction limit
% 1.05/0.88  % (3032099)Termination phase: Preprocessing 3
% 1.05/0.88  % (3032099)Time elapsed: 0.081 s
% 1.05/0.88  % (3032099)Peak memory usage: 20 MB
% 1.05/0.88  % (3032099)Instructions burned: 132 (million)
% 1.05/0.88  % (3032108)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2678036288:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 1.05/0.88  % (3032100)Instruction limit reached! 
% 1.05/0.88  % (3032100)------------------------------
% 1.05/0.88  % (3032100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032100)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032100)Termination reason: Instruction limit
% 1.05/0.88  % (3032100)Termination phase: Clausification
% 1.05/0.88  % (3032100)Time elapsed: 0.096 s
% 1.05/0.88  % (3032100)Peak memory usage: 21 MB
% 1.05/0.88  % (3032100)Instructions burned: 160 (million)
% 1.05/0.88  % (3032109)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=588779348:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 1.05/0.88  % (3032110)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=214660294:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 1.05/0.88  % (3032113)ott-21_1_sil=16000:fs=off:random_seed=1186283433:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 1.05/0.88  % (3032109)Instruction limit reached! 
% 1.05/0.88  % (3032109)------------------------------
% 1.05/0.88  % (3032109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032109)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032109)Termination reason: Instruction limit
% 1.05/0.88  % (3032109)Termination phase: Preprocessing 3
% 1.05/0.88  % (3032109)Time elapsed: 0.077 s
% 1.05/0.88  % (3032109)Peak memory usage: 20 MB
% 1.05/0.88  % (3032109)Instructions burned: 131 (million)
% 1.05/0.88  % (3032116)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3839874008:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 1.05/0.88  % (3032113)Instruction limit reached! 
% 1.05/0.88  % (3032113)------------------------------
% 1.05/0.88  % (3032113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032113)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032113)Termination reason: Instruction limit
% 1.05/0.88  % (3032113)Termination phase: Property scanning
% 1.05/0.88  % (3032113)Time elapsed: 0.103 s
% 1.05/0.88  % (3032113)Peak memory usage: 21 MB
% 1.05/0.88  % (3032113)Instructions burned: 182 (million)
% 1.05/0.88  % (3032096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3032089-3032096"...
% 1.05/0.88  % (3032118)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=851069565:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 1.05/0.88  % (3032096)...printing done.
% 1.05/0.88  % (3032096)Refutation found. Thanks to Tanya!
% 1.05/0.88  % SZS status Theorem for theBenchmark
% 1.05/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 1.05/0.88  % (3032096)------------------------------
% 1.05/0.88  % (3032096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.88  % (3032096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.88  % (3032096)CaDiCaL version: 2.1.3
% 1.05/0.88  % (3032096)Termination reason: Refutation
% 1.05/0.88  % (3032096)Time elapsed: 0.253 s
% 1.05/0.88  % (3032096)Peak memory usage: 31 MB
% 1.05/0.88  % (3032096)Instructions burned: 923 (million)
% 1.05/0.88  % (3032089)Success in time 0.652 s
% 1.05/0.88  % Vampire exiting
%------------------------------------------------------------------------------