%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET787-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:41:55 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.38s
% Output : Refutation 3.59s
% 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/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f17,axiom,
! [X2,X0,X1] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f106,axiom,
! [X0,X1] :
( ~ member(X0,cons(X1,eptset))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f107,axiom,
! [X2,X0,X1] :
( ~ member(X0,cons(X1,X2))
| X0 = X1
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f114,axiom,
! [X0,X1] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f115,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f165,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f166,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
fof(f177,plain,
~ member(sk2,b),
inference(resolution,[],[f16,f166]) ).
fof(f178,plain,
~ member(sk2,a),
inference(resolution,[],[f17,f166]) ).
fof(f181,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[],[f115,f165]) ).
fof(f186,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,f181]) ).
fof(f188,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(f190,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_2
<=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f194,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f186,f192,f188]) ).
fof(f197,plain,
( member(sk2,a)
| ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_2 ),
inference(superposition,[],[f114,f194]) ).
fof(f198,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f197,f178]) ).
fof(f199,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f198,f165]) ).
fof(f200,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f203,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_1 ),
inference(resolution,[],[f190,f106]) ).
fof(f209,plain,
( member(sk2,b)
| ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_1 ),
inference(superposition,[],[f114,f203]) ).
fof(f210,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f209,f177]) ).
fof(f211,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f210,f165]) ).
fof(f212,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f211]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f195]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f200]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f212]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET787-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 02:52:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.38 % (4106193)Input is clausal, will run a generic CNF schedule.
% 3.59/1.38 % (4106202)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4269071190:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.38 % (4106202)Instruction limit reached!
% 3.59/1.38 % (4106202)------------------------------
% 3.59/1.38 % (4106202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106202)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106202)Termination reason: Instruction limit
% 3.59/1.38 % (4106202)Termination phase: Saturation
% 3.59/1.38 % (4106202)Time elapsed: 0.030 s
% 3.59/1.38 % (4106202)Peak memory usage: 87 MB
% 3.59/1.38 % (4106202)Instructions burned: 114 (million)
% 3.59/1.38 % (4106201)lrs+10_1_sil=8000:sp=occurrence:random_seed=1319038877:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.38 % (4106198)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3951097103:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.38 % (4106199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=227718524:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.38 % (4106200)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=667723269:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.38 % (4106204)dis-21_1_sil=8000:lcm=predicate:random_seed=2164691186:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.59/1.38 % (4106203)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=110070060:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.38 % (4106203)First to succeed.
% 3.59/1.38 % (4106203)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4106193"
% 3.59/1.38 % (4106201)Instruction limit reached!
% 3.59/1.38 % (4106201)------------------------------
% 3.59/1.38 % (4106201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106201)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106201)Termination reason: Instruction limit
% 3.59/1.38 % (4106201)Termination phase: Saturation
% 3.59/1.38 % (4106201)Time elapsed: 0.066 s
% 3.59/1.38 % (4106201)Peak memory usage: 89 MB
% 3.59/1.38 % (4106201)Instructions burned: 108 (million)
% 3.59/1.38 % (4106204)Instruction limit reached!
% 3.59/1.38 % (4106204)------------------------------
% 3.59/1.38 % (4106204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106204)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106204)Termination reason: Instruction limit
% 3.59/1.38 % (4106204)Termination phase: Saturation
% 3.59/1.38 % (4106204)Time elapsed: 0.075 s
% 3.59/1.38 % (4106204)Peak memory usage: 90 MB
% 3.59/1.38 % (4106204)Instructions burned: 118 (million)
% 3.59/1.38 % (4106206)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1290612058:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.59/1.38 % (4106206)Refutation not found, incomplete strategy
% 3.59/1.38 % (4106206)------------------------------
% 3.59/1.38 % (4106206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106206)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106206)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.38 % (4106206)Time elapsed: 0.001 s
% 3.59/1.38 % (4106206)Peak memory usage: 88 MB
% 3.59/1.38 % (4106206)Instructions burned: 2 (million)
% 3.59/1.38 % (4106213)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3024998248:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.59/1.38 % (4106214)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3626335239:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.59/1.38 % (4106214)Refutation not found, incomplete strategy
% 3.59/1.38 % (4106214)------------------------------
% 3.59/1.38 % (4106214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106214)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106214)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.38 % (4106214)Time elapsed: 0.003 s
% 3.59/1.38 % (4106214)Peak memory usage: 88 MB
% 3.59/1.38 % (4106214)Instructions burned: 3 (million)
% 3.59/1.38 % (4106206)------------------------------
% 3.59/1.38 % (4106206)------------------------------
% 3.59/1.38 % (4106203)Refutation found. Thanks to Tanya!
% 3.59/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.38 % (4106203)------------------------------
% 3.59/1.38 % (4106203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.38 % (4106203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.38 % (4106203)CaDiCaL version: 2.1.3
% 3.59/1.38 % (4106203)Termination reason: Refutation
% 3.59/1.38 % (4106203)Time elapsed: 0.006 s
% 3.59/1.38 % (4106203)Peak memory usage: 89 MB
% 3.59/1.38 % (4106203)Instructions burned: 7 (million)
% 3.59/1.38 % (4106203)------------------------------
% 3.59/1.38 % (4106203)------------------------------
% 3.59/1.38 % (4106193)Success in time 0.445 s
% 3.59/1.38 % Vampire exiting
%------------------------------------------------------------------------------