TSTP Solution File: SEV436-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEV436-1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n029.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 18:35:59 EDT 2022

% Result   : Satisfiable 1.29s 0.54s
% Output   : Saturation 1.29s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(member_of_difference,axiom,
    ( ~ difference(X3,X4,X7)
    | member(X0,X3)
    | ~ member(X0,X7) ) ).

cnf(not_member_of_difference,axiom,
    ( ~ difference(X8,X3,X4)
    | ~ member(X0,X3)
    | ~ member(X0,X4) ) ).

cnf(member_of_difference_or_set2,axiom,
    ( ~ difference(X3,X4,X7)
    | member(X0,X4)
    | ~ member(X0,X3)
    | member(X0,X7) ) ).

cnf(u115,axiom,
    intersection(X6,X6,X6) ).

cnf(member_of_intersection_is_member_of_set1,axiom,
    ( ~ intersection(X3,X4,X6)
    | ~ member(X0,X6)
    | member(X0,X3) ) ).

cnf(member_of_intersection_is_member_of_set2,axiom,
    ( ~ intersection(X3,X4,X6)
    | ~ member(X0,X6)
    | member(X0,X4) ) ).

cnf(member_of_both_is_member_of_intersection,axiom,
    ( ~ intersection(X3,X4,X6)
    | ~ member(X0,X4)
    | member(X0,X6)
    | ~ member(X0,X3) ) ).

cnf(u81,axiom,
    union(X3,X3,X3) ).

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,X5)
    | ~ member(X0,X4) ) ).

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

cnf(u29,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(u26,axiom,
    subset(X0,X0) ).

cnf(u159,axiom,
    ( ~ subset(X3,X4)
    | difference(X2,X3,X2)
    | member(k(X2,X3,X2),X4) ) ).

cnf(u140,axiom,
    ( ~ subset(X1,X2)
    | union(X0,X0,X1)
    | member(g(X0,X0,X1),X0)
    | member(g(X0,X0,X1),X2) ) ).

cnf(u137,axiom,
    ( ~ subset(X0,X2)
    | member(g(X0,X0,X1),X1)
    | union(X0,X0,X1)
    | member(g(X0,X0,X1),X2) ) ).

cnf(u100,axiom,
    ( ~ subset(X1,X2)
    | union(X0,X1,X0)
    | member(g(X0,X1,X0),X2) ) ).

cnf(u76,axiom,
    ( ~ subset(X0,X2)
    | union(X0,X1,X1)
    | member(g(X0,X1,X1),X2) ) ).

cnf(u62,axiom,
    ( ~ subset(X0,X3)
    | member(g(X0,X1,X2),X3)
    | union(X0,X1,X2)
    | member(g(X0,X1,X2),X1)
    | member(g(X0,X1,X2),X2) ) ).

cnf(u59,axiom,
    ( ~ subset(X1,X3)
    | member(g(X0,X1,X2),X3)
    | union(X0,X1,X2)
    | member(g(X0,X1,X2),X0)
    | member(g(X0,X1,X2),X2) ) ).

cnf(u56,axiom,
    ( ~ subset(X2,X3)
    | union(X0,X1,X2)
    | member(g(X0,X1,X2),X0)
    | member(g(X0,X1,X2),X1)
    | member(g(X0,X1,X2),X3) ) ).

cnf(u52,axiom,
    ( ~ subset(X2,X3)
    | member(k(X1,X1,X2),X3)
    | difference(X1,X1,X2) ) ).

cnf(u44,axiom,
    ( ~ subset(X0,X2)
    | difference(X0,X1,X0)
    | member(k(X0,X1,X0),X2) ) ).

cnf(u42,axiom,
    ( ~ subset(X2,X3)
    | member(k(X0,X1,X2),X0)
    | difference(X0,X1,X2)
    | member(k(X0,X1,X2),X3) ) ).

cnf(u41,axiom,
    ( ~ subset(X0,X3)
    | member(k(X0,X1,X2),X2)
    | member(k(X0,X1,X2),X3)
    | difference(X0,X1,X2) ) ).

cnf(u40,axiom,
    ( ~ subset(X1,X2)
    | intersection(X0,X1,X1)
    | member(h(X0,X1,X1),X2) ) ).

cnf(u38,axiom,
    ( ~ subset(X2,X3)
    | member(h(X0,X1,X2),X1)
    | member(h(X0,X1,X2),X3)
    | intersection(X0,X1,X2) ) ).

cnf(u37,axiom,
    ( ~ subset(X1,X3)
    | member(h(X0,X1,X2),X2)
    | member(h(X0,X1,X2),X3)
    | intersection(X0,X1,X2) ) ).

cnf(u36,axiom,
    ( ~ subset(X0,X2)
    | member(h(X0,X1,X0),X2)
    | intersection(X0,X1,X0) ) ).

cnf(u34,axiom,
    ( ~ subset(X2,X3)
    | member(h(X0,X1,X2),X3)
    | intersection(X0,X1,X2)
    | member(h(X0,X1,X2),X0) ) ).

cnf(u33,axiom,
    ( ~ subset(X0,X3)
    | member(h(X0,X1,X2),X2)
    | intersection(X0,X1,X2)
    | member(h(X0,X1,X2),X3) ) ).

cnf(u27,axiom,
    ( ~ subset(X0,X1)
    | member(member_of_1_not_of_2(X0,X2),X1)
    | subset(X0,X2) ) ).

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

cnf(u67,axiom,
    ( member(g(X4,X4,X5),X4)
    | member(g(X4,X4,X5),X5)
    | union(X4,X4,X5) ) ).

cnf(u75,axiom,
    ( member(g(X2,X3,X2),X3)
    | union(X2,X3,X2) ) ).

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

cnf(u157,axiom,
    ( member(k(X3,X4,X3),X4)
    | difference(X3,X4,X3) ) ).

cnf(u48,axiom,
    ( member(k(X0,X0,X1),X1)
    | difference(X0,X0,X1) ) ).

cnf(u39,axiom,
    ( member(h(X0,X1,X1),X1)
    | intersection(X0,X1,X1) ) ).

cnf(intersection_axiom2,axiom,
    ( member(h(X3,X4,X6),X4)
    | member(h(X3,X4,X6),X6)
    | intersection(X3,X4,X6) ) ).

cnf(difference_axiom2,axiom,
    ( member(k(X3,X4,X7),X3)
    | member(k(X3,X4,X7),X7)
    | difference(X3,X4,X7) ) ).

cnf(intersection_axiom1,axiom,
    ( member(h(X3,X4,X6),X3)
    | member(h(X3,X4,X6),X6)
    | intersection(X3,X4,X6) ) ).

cnf(u43,axiom,
    ( member(k(X0,X1,X0),X0)
    | difference(X0,X1,X0) ) ).

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

cnf(u74,axiom,
    ( member(g(X0,X1,X1),X0)
    | union(X0,X1,X1) ) ).

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

cnf(difference_axiom3,axiom,
    ( ~ member(k(X3,X4,X7),X3)
    | member(k(X3,X4,X7),X4)
    | difference(X3,X4,X7)
    | ~ member(k(X3,X4,X7),X7) ) ).

cnf(u98,axiom,
    ( ~ member(h(X12,X13,X13),X12)
    | intersection(X12,X13,X13) ) ).

cnf(intersection_axiom3,axiom,
    ( ~ member(h(X3,X4,X6),X6)
    | ~ member(h(X3,X4,X6),X4)
    | ~ member(h(X3,X4,X6),X3)
    | intersection(X3,X4,X6) ) ).

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

cnf(difference_axiom1,axiom,
    ( ~ member(k(X3,X4,X7),X4)
    | difference(X3,X4,X7)
    | member(k(X3,X4,X7),X7) ) ).

cnf(u99,axiom,
    ( ~ member(h(X2,X3,X2),X3)
    | intersection(X2,X3,X2) ) ).

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

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEV436-1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.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   : Tue Aug 30 17:22:57 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.29/0.52  % (25173)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52  % (25185)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.53  % (25157)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.29/0.53  TRYING [1]
% 1.29/0.53  % (25183)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)
% 1.29/0.53  % (25166)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53  % (25161)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53  % (25160)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53  % (25164)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.54  % (25161)First to succeed.
% 1.29/0.54  % (25160)Also succeeded, but the first one will report.
% 1.29/0.54  % (25159)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.54  % (25162)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.29/0.54  % (25158)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.54  % (25177)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)
% 1.29/0.54  % SZS status Satisfiable for theBenchmark
% 1.29/0.54  % (25161)# SZS output start Saturation.
% See solution above
% 1.29/0.54  % (25161)------------------------------
% 1.29/0.54  % (25161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54  % (25161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54  % (25161)Termination reason: Satisfiable
% 1.29/0.54  
% 1.29/0.54  % (25161)Memory used [KB]: 5500
% 1.29/0.54  % (25161)Time elapsed: 0.139 s
% 1.29/0.54  % (25161)Instructions burned: 4 (million)
% 1.29/0.54  % (25161)------------------------------
% 1.29/0.54  % (25161)------------------------------
% 1.29/0.54  % (25156)Success in time 0.181 s
%------------------------------------------------------------------------------