%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET787-2 : 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 : n009.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 12:44:37 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.46s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 2 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 26 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X2,X0,X1] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f17,axiom,
! [X2,X0,X1] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f106,axiom,
! [X0,X1] :
( ~ member(X0,cons(X1,eptset))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f107,axiom,
! [X2,X0,X1] :
( ~ member(X0,cons(X1,X2))
| X0 = X1
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f114,axiom,
! [X0,X1] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f115,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f165,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f166,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
fof(f191,plain,
~ member(sk2,b),
inference(resolution,[],[f16,f166]) ).
fof(f192,plain,
~ member(sk2,a),
inference(resolution,[],[f17,f166]) ).
fof(f235,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[],[f115,f165]) ).
fof(f364,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(resolution,[],[f107,f235]) ).
fof(f367,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(f369,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl0_2
<=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f373,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f364,f371,f367]) ).
fof(f381,plain,
( member(sk2,a)
| ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_2 ),
inference(superposition,[],[f114,f373]) ).
fof(f382,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f381,f192]) ).
fof(f383,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f382,f165]) ).
fof(f384,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f390,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_1 ),
inference(resolution,[],[f369,f106]) ).
fof(f397,plain,
( member(sk2,b)
| ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_1 ),
inference(superposition,[],[f114,f390]) ).
fof(f398,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f397,f191]) ).
fof(f399,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f398,f165]) ).
fof(f400,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f399]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f374]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f384]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f400]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f401,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET787-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 02:49:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.40/0.46 % (2617186)Will run a generic schedule for satisfiability detection.
% 0.40/0.46 % (2617196)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3325733666:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.46 % (2617192)% WARNING: option uhcvi not known.
% 0.40/0.46 % (2617191)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2677288419_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.46 % (2617194)dis+10_1_sil=32000:sp=arity:random_seed=2494104384:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.46 % (2617193)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=534452555:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.46 % (2617195)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1767455417:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.46 % (2617197)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2607842927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.46 % (2617192)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1148041874:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.46 % TRYING [1]
% 0.40/0.46 % TRYING [2]
% 0.40/0.46 % (2617192) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2617186-2617192"...
% 0.40/0.46 % (2617192)...printing done.
% 0.40/0.46 % (2617196) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2617186-2617196"...
% 0.40/0.46 % (2617192)Refutation found. Thanks to Tanya!
% 0.40/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.40/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.46 % (2617192)------------------------------
% 0.40/0.46 % (2617192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.46 % (2617192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.46 % (2617192)CaDiCaL version: 2.1.3
% 0.40/0.46 % (2617192)Termination reason: Refutation
% 0.40/0.46 % (2617192)Time elapsed: 0.012 s
% 0.40/0.46 % (2617192)Peak memory usage: 12 MB
% 0.40/0.46 % (2617192)Instructions burned: 15 (million)
% 0.40/0.46 % (2617186)Success in time 0.048 s
% 0.40/0.46 % Vampire exiting
%------------------------------------------------------------------------------