%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ063-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:31:26 PM UTC 2026
% Result : Unsatisfiable 2.47s 1.38s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f4,plain,
~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(superposition,[],[f2,f3]) ).
fof(f5,plain,
$false,
inference(forward_subsumption_resolution,[],[f4,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ063-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.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 : Sun Sep 27 22:38:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.38 % (239438)Input is clausal, will run a generic CNF schedule.
% 2.47/1.38 % (239464)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1984342294:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.47/1.38 % (239464)First to succeed.
% 2.47/1.38 % (239464)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-239438"
% 2.47/1.38 % (239459)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=750367623:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.47/1.38 % (239460)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3905523380:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.47/1.38 % (239461)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2974294694:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.47/1.38 % (239462)lrs+10_1_sil=8000:sp=occurrence:random_seed=2284540411:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.47/1.38 % (239465)dis-21_1_sil=8000:lcm=predicate:random_seed=3418357221:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.47/1.38 % (239462)Also succeeded, but the first one will report.
% 2.47/1.38 % (239465)Refutation not found, incomplete strategy
% 2.47/1.38 % (239465)------------------------------
% 2.47/1.38 % (239465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.38 % (239465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.38 % (239465)CaDiCaL version: 2.1.3
% 2.47/1.38 % (239465)Termination reason: Refutation not found, incomplete strategy
% 2.47/1.38 % (239465)Time elapsed: 0.001 s
% 2.47/1.38 % (239465)Peak memory usage: 88 MB
% 2.47/1.38 % (239463)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3504747759:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.47/1.38 % (239463)Refutation not found, incomplete strategy
% 2.47/1.38 % (239463)------------------------------
% 2.47/1.38 % (239463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.38 % (239463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.38 % (239463)CaDiCaL version: 2.1.3
% 2.47/1.38 % (239463)Termination reason: Refutation not found, incomplete strategy
% 2.47/1.38 % (239463)Time elapsed: 0.001 s
% 2.47/1.38 % (239463)Peak memory usage: 87 MB
% 2.47/1.38 % (239464)Refutation found. Thanks to Tanya!
% 2.47/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.47/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.38 % (239464)------------------------------
% 2.47/1.38 % (239464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.38 % (239464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.38 % (239464)CaDiCaL version: 2.1.3
% 2.47/1.38 % (239464)Termination reason: Refutation
% 2.47/1.38 % (239464)Time elapsed: 0.001 s
% 2.47/1.38 % (239464)Peak memory usage: 88 MB
% 2.47/1.38 % (239464)------------------------------
% 2.47/1.38 % (239464)------------------------------
% 2.47/1.38 % (239438)Success in time 0.254 s
% 2.47/1.38 % Vampire exiting
%------------------------------------------------------------------------------