%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:42:36 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 27 ( 10 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_set1_is_member_of_union) ).
fof(f8,axiom,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_set2_is_member_of_union) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
fof(f15,axiom,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_sets(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_are_set_equal_sets) ).
fof(f22,negated_conjecture,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f7,f4]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ member(member_of_1_not_of_2(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f8,f4]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),X2),X1)
| member(member_of_1_not_of_2(union(X0,X1),X2),X0)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f9,f3]) ).
fof(f118,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1)
| subset(union(X0,X1),union(X2,X0))
| subset(union(X0,X1),union(X2,X0)) ),
inference(resolution,[],[f50,f34]) ).
fof(f125,plain,
! [X2,X0,X1] :
( member(member_of_1_not_of_2(union(X0,X1),union(X2,X0)),X1)
| subset(union(X0,X1),union(X2,X0)) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f664,plain,
! [X0,X1] :
( subset(union(X0,X1),union(X1,X0))
| subset(union(X0,X1),union(X1,X0)) ),
inference(resolution,[],[f125,f33]) ).
fof(f682,plain,
! [X0,X1] : subset(union(X0,X1),union(X1,X0)),
inference(duplicate_literal_removal,[],[f664]) ).
fof(f2144,plain,
! [X0,X1] :
( ~ subset(union(X0,X1),union(X1,X0))
| equal_sets(union(X1,X0),union(X0,X1)) ),
inference(resolution,[],[f682,f15]) ).
fof(f2146,plain,
! [X0,X1] : equal_sets(union(X1,X0),union(X0,X1)),
inference(forward_subsumption_resolution,[],[f2144,f682]) ).
fof(f2325,plain,
$false,
inference(resolution,[],[f2146,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET015-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:00:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (3096106)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3096114)dis+10_1_sil=32000:sp=arity:random_seed=1055407123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3096112)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3096111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1513904718_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3096112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2462184602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3096113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=592477454:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3096116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=341716206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3096115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1124969234:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3096117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1020663598:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (3096114) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3096106-3096114"...
% 0.17/0.47 % (3096114)...printing done.
% 0.17/0.47 % (3096114)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3096114)------------------------------
% 0.17/0.47 % (3096114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3096114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3096114)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3096114)Termination reason: Refutation
% 0.17/0.47 % (3096114)Time elapsed: 0.019 s
% 0.17/0.47 % (3096114)Peak memory usage: 12 MB
% 0.17/0.47 % (3096114)Instructions burned: 57 (million)
% 0.17/0.47 % (3096106)Success in time 0.05 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------