%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET779-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:44:35 PM UTC 2026
% Result : Satisfiable 0.19s 0.47s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u20,axiom,
( member(h(X0,X1,X0),X0)
| intersection(X0,X1,X0) ) ).
cnf(u30,axiom,
( ~ member(h(X0,X1,X1),X0)
| intersection(X0,X1,X1) ) ).
cnf(intersection_axiom3,axiom,
( ~ member(h(X0,X1,X2),X2)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2) ) ).
cnf(set_equal_sets_are_subsets2,axiom,
( ~ equal_sets(X0,X1)
| subset(X1,X0) ) ).
cnf(u17,axiom,
equal_sets(X0,X0) ).
cnf(set_equal_sets_are_subsets1,axiom,
( ~ equal_sets(X0,X1)
| subset(X0,X1) ) ).
cnf(u14,axiom,
subset(X0,X0) ).
cnf(member_of_intersection_is_member_of_set1,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ) ).
cnf(member_of_both_is_member_of_intersection,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_sets(X1,X0) ) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X1) ) ).
cnf(membership_in_subsets,axiom,
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ) ).
cnf(intersection_axiom2,axiom,
( member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2) ) ).
cnf(u31,axiom,
( ~ member(h(X0,X1,X0),X1)
| intersection(X0,X1,X0) ) ).
cnf(intersection_axiom1,axiom,
( member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2) ) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ) ).
cnf(u21,axiom,
( member(h(X0,X1,X1),X1)
| intersection(X0,X1,X1) ) ).
cnf(subsets_axiom1,axiom,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ) ).
cnf(u35,axiom,
intersection(X0,X0,X0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET779-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:46:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % (757979)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (757987)dis+10_1_sil=32000:sp=arity:random_seed=3083344454:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47 % (757987) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-757979-757987"...
% 0.19/0.47 % (757987)...printing done.
% 0.19/0.47 % SZS status Satisfiable for theBenchmark
% 0.19/0.47 % SZS output start Saturation.
% See solution above
% 0.19/0.47 % SZS output start Definitions and Model Updates.
% 0.19/0.47 % SZS output end Definitions and Model Updates.
% 0.19/0.47 % (757987)------------------------------
% 0.19/0.47 % (757987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (757987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (757987)CaDiCaL version: 2.1.3
% 0.19/0.47 % (757987)Termination reason: Satisfiable
% 0.19/0.47 % (757987)Time elapsed: 0.001 s
% 0.19/0.47 % (757987)Peak memory usage: 11 MB
% 0.19/0.47 % (757987)Instructions burned: 1 (million)
% 0.19/0.47 % (757979)Success in time 0.027 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------