TSTP Solution File: SET778-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET778-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.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 : Wed Aug 31 18:25:37 EDT 2022

% Result   : Satisfiable 0.19s 0.50s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u41,axiom,
    union(X1,X1,X1) ).

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

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

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

cnf(u17,axiom,
    equal_sets(X0,X0) ).

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

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

cnf(u14,axiom,
    subset(X0,X0) ).

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

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

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

cnf(u26,axiom,
    ( member(g(X0,X0,X1),X0)
    | member(g(X0,X0,X1),X1)
    | union(X0,X0,X1) ) ).

cnf(u35,axiom,
    ( member(g(X2,X3,X2),X3)
    | union(X2,X3,X2) ) ).

cnf(union_axiom1_001,axiom,
    ( member(g(X3,X4,X5),X3)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X5)
    | union(X3,X4,X5) ) ).

cnf(u26_002,axiom,
    ( member(g(X0,X0,X1),X0)
    | member(g(X0,X0,X1),X1)
    | union(X0,X0,X1) ) ).

cnf(u36,axiom,
    ( member(g(X4,X5,X5),X4)
    | union(X4,X5,X5) ) ).

cnf(union_axiom1_003,axiom,
    ( member(g(X3,X4,X5),X3)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X5)
    | union(X3,X4,X5) ) ).

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

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

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

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET778-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:31:21 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (7611)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.49  % (7603)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (7603)First to succeed.
% 0.19/0.50  % SZS status Satisfiable for theBenchmark
% 0.19/0.50  % (7603)# SZS output start Saturation.
% See solution above
% 0.19/0.50  % (7603)------------------------------
% 0.19/0.50  % (7603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (7603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (7603)Termination reason: Satisfiable
% 0.19/0.50  
% 0.19/0.50  % (7603)Memory used [KB]: 895
% 0.19/0.50  % (7603)Time elapsed: 0.085 s
% 0.19/0.50  % (7603)Instructions burned: 2 (million)
% 0.19/0.50  % (7603)------------------------------
% 0.19/0.50  % (7603)------------------------------
% 0.19/0.50  % (7587)Success in time 0.153 s
%------------------------------------------------------------------------------