%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM286-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:18:40 EDT 2024

% Result   : Satisfiable 0.20s 0.37s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(subtract_substitution2,axiom,
    ( equalish(X2,subtract(X3,X1))
    | ~ equalish(X2,subtract(X3,X0))
    | ~ equalish(X0,X1) ) ).

cnf(addition_inverts_subtraction1,axiom,
    equalish(subtract(add(X0,X1),X1),X0) ).

cnf(associativity_of_addition,axiom,
    equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)) ).

cnf(commutativity1,axiom,
    equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)) ).

cnf(add_substitution1,axiom,
    ( equalish(X2,add(X1,X3))
    | ~ equalish(X2,add(X0,X3))
    | ~ equalish(X0,X1) ) ).

cnf(addition_inverts_subtraction2,axiom,
    equalish(X0,subtract(add(X0,X1),X1)) ).

cnf(commutativity2,axiom,
    equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)) ).

cnf(reflexivity,axiom,
    equalish(X0,X0) ).

cnf(subtract_substitution1,axiom,
    ( equalish(X2,subtract(X1,X3))
    | ~ equalish(X2,subtract(X0,X3))
    | ~ equalish(X0,X1) ) ).

cnf(add_substitution2,axiom,
    ( equalish(X2,add(X3,X1))
    | ~ equalish(X2,add(X3,X0))
    | ~ equalish(X0,X1) ) ).

cnf(commutativity_of_addition,axiom,
    equalish(add(X0,X1),add(X1,X0)) ).

cnf(transitivity,axiom,
    ( equalish(X0,X2)
    | ~ equalish(X1,X2)
    | ~ equalish(X0,X1) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM286-2 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:43:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (32026)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (32028)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (32030)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (32029)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (32032)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (32031)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (32029)First to succeed.
% 0.20/0.37  % (32029)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32026"
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  % (32033)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  Finite Model Found!
% 0.20/0.37  Finite Model Found!
% 0.20/0.37  % SZS status Satisfiable for theBenchmark
% 0.20/0.37  % SZS status Satisfiable for theBenchmark
% 0.20/0.37  % (32028)Also succeeded, but the first one will report.
% 0.20/0.37  % (32030)Also succeeded, but the first one will report.
% 0.20/0.37  % SZS status Satisfiable for theBenchmark
% 0.20/0.37  % (32029)# SZS output start Saturation.
% See solution above
% 0.20/0.37  % (32029)------------------------------
% 0.20/0.37  % (32029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37  % (32029)Termination reason: Satisfiable
% 0.20/0.37  
% 0.20/0.37  % (32029)Memory used [KB]: 765
% 0.20/0.37  % (32029)Time elapsed: 0.003 s
% 0.20/0.37  % (32029)Instructions burned: 3 (million)
% 0.20/0.37  % (32026)Success in time 0.009 s
%------------------------------------------------------------------------------