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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV594-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 01:19:03 PM UTC 2026

% Result   : Unsatisfiable 2.67s 1.18s
% Output   : Refutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f901,axiom,
    ! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).

fof(f1344,axiom,
    ! [X0] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X0),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X0,c_Transcendental_Opi,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero__pi_0) ).

fof(f1369,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_0_0) ).

fof(f1372,axiom,
    c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f1374,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1375,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Osin(v_x),
    inference(reorient_equations,[],[f1374]) ).

fof(f2128,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    inference(superposition,[],[f1344,f1375]) ).

fof(f2129,plain,
    ( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    inference(forward_subsumption_resolution,[],[f2128,f901]) ).

fof(f2130,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[],[f2129,f1372]) ).

fof(f2131,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2130,f1369]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV594-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n002.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 12:02:07 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.18  % (311318)Input is clausal, will run a generic CNF schedule.
% 2.67/1.18  % (311326)lrs+10_1_sil=8000:sp=occurrence:random_seed=3839103245:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.18  % (311326)First to succeed.
% 2.67/1.18  % (311326)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-311318"
% 2.67/1.18  % (311324)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1638231314:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.18  % (311323)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=3589015581:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.18  % (311325)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4206160076:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.18  % (311328)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=792009059:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.18  % (311329)dis-21_1_sil=8000:lcm=predicate:random_seed=2419851374: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)
% 2.67/1.18  % (311327)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=695240527:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.18  % (311327)Also succeeded, but the first one will report.
% 2.67/1.18  % (311328)Also succeeded, but the first one will report.
% 2.67/1.18  % (311329)Instruction limit reached! 
% 2.67/1.18  % (311329)------------------------------
% 2.67/1.18  % (311329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.18  % (311329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.18  % (311329)CaDiCaL version: 2.1.3
% 2.67/1.18  % (311329)Termination reason: Instruction limit
% 2.67/1.18  % (311329)Termination phase: Saturation
% 2.67/1.18  % (311329)Time elapsed: 0.065 s
% 2.67/1.18  % (311329)Peak memory usage: 89 MB
% 2.67/1.18  % (311329)Instructions burned: 118 (million)
% 2.67/1.18  % (311326)Refutation found. Thanks to Tanya!
% 2.67/1.18  % SZS status Unsatisfiable for theBenchmark
% 2.67/1.18  % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.18  % (311326)------------------------------
% 2.67/1.18  % (311326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.18  % (311326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.18  % (311326)CaDiCaL version: 2.1.3
% 2.67/1.18  % (311326)Termination reason: Refutation
% 2.67/1.18  % (311326)Time elapsed: 0.014 s
% 2.67/1.18  % (311326)Peak memory usage: 89 MB
% 2.67/1.18  % (311326)Instructions burned: 35 (million)
% 2.67/1.18  % (311326)------------------------------
% 2.67/1.18  % (311326)------------------------------
% 2.67/1.18  % (311318)Success in time 0.323 s
% 2.67/1.18  % Vampire exiting
%------------------------------------------------------------------------------