TSTP Solution File: SET778-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET778-1 : 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 : n003.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 09:18:55 EDT 2024

% Result   : Satisfiable 0.13s 0.37s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u20,axiom,
    ( ~ member(X3,X0)
    | member(g(X0,X1,X2),X1)
    | member(g(X0,X1,X2),X0)
    | member(X3,X2)
    | member(g(X0,X1,X2),X2) ) ).

cnf(u13,axiom,
    ( ~ member(X0,X1)
    | member(X0,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ) ).

cnf(union_axiom3,axiom,
    ( ~ member(g(X3,X4,X5),X5)
    | union(X3,X4,X5)
    | ~ member(g(X3,X4,X5),X4) ) ).

cnf(set_equal_sets_are_subsets2,axiom,
    ( ~ equal_sets(X2,X1)
    | subset(X1,X2) ) ).

cnf(u15,axiom,
    ( equal_sets(X0,X1)
    | member(member_of_1_not_of_2(X1,X0),X1)
    | member(member_of_1_not_of_2(X0,X1),X0) ) ).

cnf(u18,axiom,
    ( ~ member(X3,X2)
    | member(g(X0,X1,X2),X1)
    | member(g(X0,X1,X2),X0)
    | member(X3,X1)
    | member(X3,X0)
    | member(g(X0,X1,X2),X2) ) ).

cnf(u19,axiom,
    ( ~ member(X3,X1)
    | member(g(X0,X1,X2),X1)
    | member(g(X0,X1,X2),X0)
    | member(X3,X2)
    | member(g(X0,X1,X2),X2) ) ).

cnf(set_equal_sets_are_subsets1,axiom,
    ( ~ equal_sets(X1,X2)
    | subset(X1,X2) ) ).

cnf(u14,axiom,
    ( ~ subset(X0,X1)
    | equal_sets(X0,X1)
    | member(member_of_1_not_of_2(X1,X0),X1) ) ).

cnf(member_of_union_is_member_of_one_set,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X4)
    | member(X0,X3)
    | ~ member(X0,X5) ) ).

cnf(member_of_set2_is_member_of_union,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X5)
    | ~ member(X0,X4) ) ).

cnf(subsets_are_set_equal_sets,axiom,
    ( ~ subset(X3,X4)
    | ~ subset(X4,X3)
    | equal_sets(X4,X3) ) ).

cnf(member_of_set1_is_member_of_union,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X5)
    | ~ member(X0,X3) ) ).

cnf(membership_in_subsets,axiom,
    ( ~ subset(X1,X2)
    | ~ member(X0,X1)
    | member(X0,X2) ) ).

cnf(union_axiom2,axiom,
    ( ~ member(g(X3,X4,X5),X5)
    | union(X3,X4,X5)
    | ~ member(g(X3,X4,X5),X3) ) ).

cnf(union_axiom1,axiom,
    ( union(X3,X4,X5)
    | member(g(X3,X4,X5),X5)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X3) ) ).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X1,X2),X2)
    | subset(X1,X2) ) ).

cnf(subsets_axiom1,axiom,
    ( subset(X1,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET778-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:57:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (21011)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (21015)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (21016)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (21017)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  % (21012)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (21013)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (21014)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)
% 0.13/0.37  % (21018)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)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  Finite Model Found!
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % SZS status Satisfiable for theBenchmark
% 0.13/0.37  TRYING [1,1,1,1]
% 0.13/0.37  TRYING [1,1,1,1]
% 0.13/0.37  Finite Model Found!
% 0.13/0.37  % SZS status Satisfiable for theBenchmark
% 0.13/0.37  % (21012)Also succeeded, but the first one will report.
% 0.13/0.37  % (21016)First to succeed.
% 0.13/0.37  Finite Model Found!
% 0.13/0.37  % SZS status Satisfiable for theBenchmark
% 0.13/0.37  % (21018)Also succeeded, but the first one will report.
% 0.13/0.37  Finite Model Found!
% 0.13/0.37  % SZS status Satisfiable for theBenchmark
% 0.13/0.37  % (21017)Also succeeded, but the first one will report.
% 0.13/0.37  % (21015)Also succeeded, but the first one will report.
% 0.13/0.37  % (21013)Also succeeded, but the first one will report.
% 0.13/0.37  % (21016)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21011"
% 0.21/0.37  % SZS status Satisfiable for theBenchmark
% 0.21/0.37  % (21016)# SZS output start Saturation.
% See solution above
% 0.21/0.37  % (21016)------------------------------
% 0.21/0.37  % (21016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37  % (21016)Termination reason: Satisfiable
% 0.21/0.37  
% 0.21/0.37  % (21016)Memory used [KB]: 781
% 0.21/0.37  % (21016)Time elapsed: 0.004 s
% 0.21/0.37  % (21016)Instructions burned: 3 (million)
% 0.21/0.37  % (21011)Success in time 0.009 s
%------------------------------------------------------------------------------