TSTP Solution File: SET779-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET779-1 : 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 : n008.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 1.50s 0.57s
% Output   : Saturation 1.50s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u44,axiom,
    intersection(X6,X6,X6) ).

cnf(member_of_intersection_is_member_of_set1,axiom,
    ( ~ intersection(X3,X4,X5)
    | member(X0,X3)
    | ~ member(X0,X5) ) ).

cnf(member_of_intersection_is_member_of_set2,axiom,
    ( ~ intersection(X3,X4,X5)
    | ~ member(X0,X5)
    | member(X0,X4) ) ).

cnf(member_of_both_is_member_of_intersection,axiom,
    ( ~ intersection(X3,X4,X5)
    | member(X0,X5)
    | ~ member(X0,X4)
    | ~ member(X0,X3) ) ).

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,X1)
    | member(X0,X2) ) ).

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

cnf(u21,axiom,
    ( member(h(X0,X1,X1),X1)
    | intersection(X0,X1,X1) ) ).

cnf(u18,axiom,
    ( member(h(X0,X1,X0),X0)
    | intersection(X0,X1,X0) ) ).

cnf(intersection_axiom2,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X4)
    | intersection(X3,X4,X5) ) ).

cnf(intersection_axiom1,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X3)
    | intersection(X3,X4,X5) ) ).

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

cnf(u35,axiom,
    ( ~ member(h(X0,X1,X1),X0)
    | intersection(X0,X1,X1) ) ).

cnf(u32,axiom,
    ( ~ member(h(X0,X1,X0),X1)
    | intersection(X0,X1,X0) ) ).

cnf(intersection_axiom3,axiom,
    ( ~ member(h(X3,X4,X5),X5)
    | ~ member(h(X3,X4,X5),X3)
    | intersection(X3,X4,X5)
    | ~ member(h(X3,X4,X5),X4) ) ).

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET779-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:21:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.56  % (7337)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.57  % (7336)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.57  TRYING [1]
% 1.50/0.57  Finite Model Found!
% 1.50/0.57  % SZS status Satisfiable for theBenchmark
% 1.50/0.57  % (7337)First to succeed.
% 1.50/0.57  % (7353)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)
% 1.50/0.57  % (7352)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.50/0.57  % (7336)Also succeeded, but the first one will report.
% 1.50/0.57  % SZS status Satisfiable for theBenchmark
% 1.50/0.57  % (7337)# SZS output start Saturation.
% See solution above
% 1.50/0.57  % (7337)------------------------------
% 1.50/0.57  % (7337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (7337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (7337)Termination reason: Satisfiable
% 1.50/0.57  
% 1.50/0.57  % (7337)Memory used [KB]: 5373
% 1.50/0.57  % (7337)Time elapsed: 0.141 s
% 1.50/0.57  % (7337)Instructions burned: 2 (million)
% 1.50/0.57  % (7337)------------------------------
% 1.50/0.57  % (7337)------------------------------
% 1.50/0.57  % (7329)Success in time 0.222 s
%------------------------------------------------------------------------------