%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET073-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:39:57 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.35s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f128,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).
fof(f129,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).
fof(f130,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f129]) ).
fof(f159,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f130]) ).
fof(f162,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f159,f113]) ).
fof(f163,plain,
$false,
inference(forward_subsumption_resolution,[],[f162,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET073-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.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
% 0.03/0.38 % CPULimit : 300
% 0.03/0.38 % WCLimit : 300
% 0.03/0.38 % DateTime : Mon Sep 28 00:32:54 UTC 2026
% 0.03/0.39 % CPUTime :
% 0.03/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.42 Running first-order theorem proving
% 0.03/0.42 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
% 2.63/1.35 % (2887351)Input is clausal, will run a generic CNF schedule.
% 2.63/1.35 % (2887360)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=861758027:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.35 % (2887360)First to succeed.
% 2.63/1.35 % (2887360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2887351"
% 2.63/1.35 % (2887356)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=746213080:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.35 % (2887359)lrs+10_1_sil=8000:sp=occurrence:random_seed=2297602775:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.35 % (2887358)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2674874307:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.35 % (2887362)dis-21_1_sil=8000:lcm=predicate:random_seed=947954205: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)
% 2.63/1.35 % (2887357)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2880242004:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.35 % (2887361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3914937162:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.35 % (2887359)Also succeeded, but the first one will report.
% 2.63/1.35 % (2887361)Also succeeded, but the first one will report.
% 2.63/1.35 % (2887362)Instruction limit reached!
% 2.63/1.35 % (2887362)------------------------------
% 2.63/1.35 % (2887362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (2887362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (2887362)CaDiCaL version: 2.1.3
% 2.63/1.35 % (2887362)Termination reason: Instruction limit
% 2.63/1.35 % (2887362)Termination phase: Saturation
% 2.63/1.35 % (2887362)Time elapsed: 0.079 s
% 2.63/1.35 % (2887362)Peak memory usage: 89 MB
% 2.63/1.35 % (2887362)Instructions burned: 117 (million)
% 2.63/1.35 % (2887360)Refutation found. Thanks to Tanya!
% 2.63/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.35 % (2887360)------------------------------
% 2.63/1.35 % (2887360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.35 % (2887360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.35 % (2887360)CaDiCaL version: 2.1.3
% 2.63/1.35 % (2887360)Termination reason: Refutation
% 2.63/1.35 % (2887360)Time elapsed: 0.002 s
% 2.63/1.35 % (2887360)Peak memory usage: 88 MB
% 2.63/1.35 % (2887360)Instructions burned: 2 (million)
% 2.63/1.35 % (2887360)------------------------------
% 2.63/1.35 % (2887360)------------------------------
% 2.63/1.35 % (2887351)Success in time 0.29 s
% 2.63/1.35 % Vampire exiting
%------------------------------------------------------------------------------