TSTP Solution File: SET780-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET780-1 : 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 : n004.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(difference_axiom2,axiom,
    ( difference(X3,X4,X5)
    | member(k(X3,X4,X5),X3)
    | member(k(X3,X4,X5),X5) ) ).

cnf(member_of_difference,axiom,
    ( ~ difference(X3,X4,X5)
    | member(X0,X3)
    | ~ member(X0,X5) ) ).

cnf(not_member_of_difference,axiom,
    ( ~ difference(X6,X3,X4)
    | ~ member(X0,X3)
    | ~ member(X0,X4) ) ).

cnf(member_of_difference_or_set2,axiom,
    ( ~ difference(X3,X4,X5)
    | member(X0,X4)
    | member(X0,X5)
    | ~ member(X0,X3) ) ).

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

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

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

cnf(difference_axiom3,axiom,
    ( ~ member(k(X3,X4,X5),X5)
    | difference(X3,X4,X5)
    | member(k(X3,X4,X5),X4)
    | ~ member(k(X3,X4,X5),X3) ) ).

cnf(difference_axiom1,axiom,
    ( ~ member(k(X3,X4,X5),X4)
    | difference(X3,X4,X5)
    | member(k(X3,X4,X5),X5) ) ).

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

cnf(u19,axiom,
    ( ~ member(X7,X6)
    | member(k(X4,X5,X6),X6)
    | member(k(X4,X5,X6),X4)
    | ~ member(X7,X5) ) ).

cnf(u20,axiom,
    ( ~ member(X11,X10)
    | member(k(X8,X9,X10),X8)
    | member(X11,X8)
    | member(k(X8,X9,X10),X10) ) ).

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

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    : SET780-1 : 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 : n004.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 14:14:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (6230)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.49  % (6232)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)
% 0.19/0.49  % (6223)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (6224)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49  % (6230)First to succeed.
% 0.19/0.50  % SZS status Satisfiable for theBenchmark
% 0.19/0.50  % (6230)# SZS output start Saturation.
% See solution above
% 0.19/0.50  % (6230)------------------------------
% 0.19/0.50  % (6230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6230)Termination reason: Satisfiable
% 0.19/0.50  
% 0.19/0.50  % (6230)Memory used [KB]: 5373
% 0.19/0.50  % (6230)Time elapsed: 0.089 s
% 0.19/0.50  % (6230)Instructions burned: 2 (million)
% 0.19/0.50  % (6230)------------------------------
% 0.19/0.50  % (6230)------------------------------
% 0.19/0.50  % (6209)Success in time 0.144 s
%------------------------------------------------------------------------------