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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 01:26:39 PM UTC 2026

% Result   : Unsatisfiable 0.84s 0.46s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,axiom,
    ! [X0,X1] : c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

fof(f318,axiom,
    ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__def_0) ).

fof(f462,axiom,
    ! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),X1),X2,X3,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool))),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_falseE_0) ).

fof(f468,axiom,
    ! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

fof(f469,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(hAPP(c_fequal(X0),X1),X0),
    inference(reorient_equations,[],[f468]) ).

fof(f546,negated_conjecture,
    ! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f857,plain,
    ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0),
    inference(superposition,[],[f318,f112]) ).

fof(f1434,plain,
    ! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = hAPP(c_fequal(X0),X1),
    inference(forward_demodulation,[],[f469,f112]) ).

fof(f1435,plain,
    ! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a),
    inference(superposition,[],[f546,f1434]) ).

fof(f4148,plain,
    ! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),X1),X2,X3,X1)),X1),
    inference(forward_demodulation,[],[f462,f1434]) ).

fof(f4149,plain,
    ! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),X1),X2,X3,X1)),X1),
    inference(forward_demodulation,[],[f4148,f857]) ).

fof(f4150,plain,
    $false,
    inference(resolution,[],[f4149,f1435]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n013.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 12:52:21 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23  Running first-order model finding
% 0.07/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/0.46  % (1154525)Will run a generic schedule for satisfiability detection.
% 0.84/0.46  % (1154535)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1428234034:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.46  % (1154531)% WARNING: option uhcvi not known.
% 0.84/0.46  % (1154530)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4273788972_2999 on theBenchmark for (2999ds/0Mi)
% 0.84/0.46  % (1154531)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2544882677:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.84/0.46  % (1154532)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1669091142:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.84/0.46  % (1154533)dis+10_1_sil=32000:sp=arity:random_seed=2016935424:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.84/0.46  % (1154534)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4236477578:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.84/0.46  % (1154536)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2128464846:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.84/0.46  % (1154535)Instruction limit reached! 
% 0.84/0.46  % (1154535)------------------------------
% 0.84/0.46  % (1154535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.46  % (1154535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.46  % (1154535)CaDiCaL version: 2.1.3
% 0.84/0.46  % (1154535)Termination reason: Instruction limit
% 0.84/0.46  % (1154535)Termination phase: Saturation
% 0.84/0.46  % (1154535)Time elapsed: 0.048 s
% 0.84/0.46  % (1154535)Peak memory usage: 13 MB
% 0.84/0.46  % (1154535)Instructions burned: 131 (million)
% 0.84/0.46  % (1154544)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=553575792:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.84/0.46  % (1154533)Instruction limit reached! 
% 0.84/0.46  % (1154533)------------------------------
% 0.84/0.46  % (1154533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.46  % (1154533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.46  % (1154533)CaDiCaL version: 2.1.3
% 0.84/0.46  % (1154533)Termination reason: Instruction limit
% 0.84/0.46  % (1154533)Termination phase: Saturation
% 0.84/0.46  % (1154533)Time elapsed: 0.066 s
% 0.84/0.46  % (1154533)Peak memory usage: 12 MB
% 0.84/0.46  % (1154533)Instructions burned: 104 (million)
% 0.84/0.46  % (1154534)Instruction limit reached! 
% 0.84/0.46  % (1154534)------------------------------
% 0.84/0.46  % (1154534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.46  % (1154534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.46  % (1154534)CaDiCaL version: 2.1.3
% 0.84/0.46  % (1154534)Termination reason: Instruction limit
% 0.84/0.46  % (1154534)Termination phase: Saturation
% 0.84/0.46  % (1154534)Time elapsed: 0.072 s
% 0.84/0.46  % (1154534)Peak memory usage: 13 MB
% 0.84/0.46  % (1154534)Instructions burned: 116 (million)
% 0.84/0.46  % (1154546)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1583693892:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.84/0.46  % (1154536)Instruction limit reached! 
% 0.84/0.46  % (1154536)------------------------------
% 0.84/0.46  % (1154536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.46  % (1154536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.46  % (1154536)CaDiCaL version: 2.1.3
% 0.84/0.46  % (1154536)Termination reason: Instruction limit
% 0.84/0.46  % (1154536)Termination phase: Saturation
% 0.84/0.46  % (1154536)Time elapsed: 0.090 s
% 0.84/0.46  % (1154536)Peak memory usage: 13 MB
% 0.84/0.46  % (1154536)Instructions burned: 160 (million)
% 0.84/0.46  % (1154547)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=3915166368:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.84/0.46  % (1154550)ott-21_1_sil=16000:fs=off:random_seed=2087921277:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.84/0.46  % TRYING [1]
% 0.84/0.46  % TRYING [2]
% 0.84/0.46  % (1154531) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1154525-1154531"...
% 0.84/0.46  % TRYING [1]
% 0.84/0.46  % (1154531)...printing done.
% 0.84/0.46  % (1154531)Refutation found. Thanks to Tanya!
% 0.84/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.84/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.46  % (1154531)------------------------------
% 0.84/0.46  % (1154531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.46  % (1154531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.46  % (1154531)CaDiCaL version: 2.1.3
% 0.84/0.46  % (1154531)Termination reason: Refutation
% 0.84/0.46  % (1154531)Time elapsed: 0.161 s
% 0.84/0.46  % (1154531)Peak memory usage: 14 MB
% 0.84/0.46  % (1154531)Instructions burned: 249 (million)
% 0.84/0.46  % (1154525)Success in time 0.22 s
% 0.84/0.46  % Vampire exiting
%------------------------------------------------------------------------------