%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET073+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 : Theorem 3.32s 1.34s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 41 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 13 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f44,conjecture,
! [X0,X1] :
( member(X0,universal_class)
=> unordered_pair(X0,X1) != null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary1_1) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( member(X0,universal_class)
=> unordered_pair(X0,X1) != null_class ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
? [X0,X1] :
( unordered_pair(X0,X1) = null_class
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f47,plain,
( null_class = unordered_pair(sK0,sK1)
& member(sK0,universal_class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) )
& ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f48]) ).
fof(f52,plain,
member(sK0,universal_class),
inference(cnf_transformation,[],[f47]) ).
fof(f53,plain,
null_class = unordered_pair(sK0,sK1),
inference(cnf_transformation,[],[f47]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| X0 != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f61,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f69,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f60]) ).
fof(f74,plain,
( member(sK0,null_class)
| ~ member(sK0,universal_class) ),
inference(superposition,[],[f69,f53]) ).
fof(f75,plain,
~ member(sK0,universal_class),
inference(forward_subsumption_resolution,[],[f74,f61]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[],[f75,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET073+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 % Computer : n011.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 28 00:30:31 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 3.32/1.34 % (2909459)Detected formulas, will run a generic FOF schedule.
% 3.32/1.34 % (2909466)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3664852773:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.32/1.34 % (2909468)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3584210872:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.32/1.34 % (2909469)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1763779162:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.32/1.34 % (2909470)dis-21_1_sil=8000:lcm=predicate:random_seed=3637577986:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.32/1.34 % (2909467)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=185163209:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.32/1.34 % (2909464)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=1355430800:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.32/1.34 % (2909465)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1413249067:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.32/1.34 % (2909467)Also succeeded, but the first one will report.
% 3.32/1.34 % (2909468)First to succeed.
% 3.32/1.34 % (2909468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2909459"
% 3.32/1.34 % (2909469)Also succeeded, but the first one will report.
% 3.32/1.34 % (2909470)Instruction limit reached!
% 3.32/1.34 % (2909470)------------------------------
% 3.32/1.34 % (2909470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.34 % (2909470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.34 % (2909470)CaDiCaL version: 2.1.3
% 3.32/1.34 % (2909470)Termination reason: Instruction limit
% 3.32/1.34 % (2909470)Termination phase: Saturation
% 3.32/1.34 % (2909470)Time elapsed: 0.070 s
% 3.32/1.34 % (2909470)Peak memory usage: 89 MB
% 3.32/1.34 % (2909470)Instructions burned: 129 (million)
% 3.32/1.34 % (2909478)lrs+10_1_sil=8000:sp=occurrence:random_seed=1207642063:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.32/1.34 % (2909478)Also succeeded, but the first one will report.
% 3.32/1.34 % (2909468)Refutation found. Thanks to Tanya!
% 3.32/1.34 % SZS status Theorem for theBenchmark
% 3.32/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.32/1.34 % (2909468)------------------------------
% 3.32/1.34 % (2909468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.34 % (2909468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.34 % (2909468)CaDiCaL version: 2.1.3
% 3.32/1.34 % (2909468)Termination reason: Refutation
% 3.32/1.34 % (2909468)Time elapsed: 0.002 s
% 3.32/1.34 % (2909468)Peak memory usage: 88 MB
% 3.32/1.34 % (2909468)Instructions burned: 1 (million)
% 3.32/1.34 % (2909468)------------------------------
% 3.32/1.34 % (2909468)------------------------------
% 3.32/1.34 % (2909459)Success in time 0.407 s
% 3.32/1.34 % Vampire exiting
%------------------------------------------------------------------------------