%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:44:36 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 13 unt; 2 def)
% Number of atoms : 51 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(X0,unionE_sk1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,cons(X1,X2))
| X0 = X1
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,un(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,un(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI2) ).
fof(f8,axiom,
! [X0] : ~ member(X0,eptset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f14,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f15,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
fof(f22,plain,
member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))),
inference(resolution,[],[f1,f14]) ).
fof(f23,plain,
! [X0] : member(sk2,un(X0,unionE_sk1(sk2,cons(a,cons(b,eptset))))),
inference(resolution,[],[f22,f7]) ).
fof(f24,plain,
! [X0] : member(sk2,un(unionE_sk1(sk2,cons(a,cons(b,eptset))),X0)),
inference(resolution,[],[f22,f6]) ).
fof(f25,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[],[f2,f14]) ).
fof(f38,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(resolution,[],[f25,f5]) ).
fof(f42,definition,
( spl0_1
<=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl0_2
<=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f48,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f38,f46,f42]) ).
fof(f51,plain,
( ! [X0] : member(sk2,un(a,X0))
| ~ spl0_2 ),
inference(superposition,[],[f24,f48]) ).
fof(f66,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f51,f15]) ).
fof(f69,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f70,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset)
| ~ spl0_1 ),
inference(resolution,[],[f44,f5]) ).
fof(f73,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f70,f8]) ).
fof(f75,plain,
( ! [X0] : member(sk2,un(X0,b))
| ~ spl0_1 ),
inference(superposition,[],[f23,f73]) ).
fof(f94,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f75,f15]) ).
fof(f97,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f94]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f97]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f98,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.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 02:51:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.18/0.47 % (1137413)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1137419)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1137419)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1616274179:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (1137420)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3415076385:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (1137418)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1742695457_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (1137421)dis+10_1_sil=32000:sp=arity:random_seed=4066817889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (1137422)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4043696232:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (1137424)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4056166808:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (1137423)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1127974952:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % (1137423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1137413-1137423"...
% 0.18/0.47 % (1137423)...printing done.
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % (1137423)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1137423)------------------------------
% 0.18/0.47 % (1137423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1137423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1137423)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1137423)Termination reason: Refutation
% 0.18/0.47 % (1137423)Time elapsed: 0.004 s
% 0.18/0.47 % (1137423)Peak memory usage: 12 MB
% 0.18/0.47 % (1137423)Instructions burned: 4 (million)
% 0.18/0.47 % (1137413)Success in time 0.044 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------