%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET085-6 : 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 : n004.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 12:40:02 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.35s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 23 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f101,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
fof(f102,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
fof(f103,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
fof(f104,plain,
y != x,
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
fof(f106,plain,
z != x,
inference(reorient_equations,[],[f105]) ).
fof(f111,plain,
unordered_pair(y,z) = unordered_pair(x,x),
inference(definition_unfolding,[],[f101,f12]) ).
fof(f188,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,x))
| y = X0
| z = X0 ),
inference(superposition,[],[f8,f111]) ).
fof(f190,plain,
( y = x
| z = x
| ~ member(x,universal_class) ),
inference(resolution,[],[f188,f10]) ).
fof(f192,plain,
( z = x
| ~ member(x,universal_class) ),
inference(forward_subsumption_resolution,[],[f190,f104]) ).
fof(f194,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f192,f106]) ).
fof(f196,plain,
$false,
inference(forward_subsumption_resolution,[],[f194,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n004.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 00:34:52 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 2.54/1.35 % (4033996)Input is clausal, will run a generic CNF schedule.
% 2.54/1.35 % (4034005)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=742277863:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.35 % (4034005)First to succeed.
% 2.54/1.35 % (4034005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4033996"
% 2.54/1.35 % (4034004)lrs+10_1_sil=8000:sp=occurrence:random_seed=779137453:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.35 % (4034004)Also succeeded, but the first one will report.
% 2.54/1.35 % (4034003)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3006211127:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.35 % (4034002)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2330386738:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.35 % (4034001)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=3009914820:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.35 % (4034007)dis-21_1_sil=8000:lcm=predicate:random_seed=2957862994: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)
% 2.54/1.35 % (4034006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1936171055:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.35 % (4034006)Also succeeded, but the first one will report.
% 2.54/1.35 % (4034007)Instruction limit reached!
% 2.54/1.35 % (4034007)------------------------------
% 2.54/1.35 % (4034007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.35 % (4034007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.35 % (4034007)CaDiCaL version: 2.1.3
% 2.54/1.35 % (4034007)Termination reason: Instruction limit
% 2.54/1.35 % (4034007)Termination phase: Saturation
% 2.54/1.35 % (4034007)Time elapsed: 0.064 s
% 2.54/1.35 % (4034007)Peak memory usage: 89 MB
% 2.54/1.35 % (4034007)Instructions burned: 118 (million)
% 2.54/1.35 % (4034005)Refutation found. Thanks to Tanya!
% 2.54/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.35 % (4034005)------------------------------
% 2.54/1.35 % (4034005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.35 % (4034005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.35 % (4034005)CaDiCaL version: 2.1.3
% 2.54/1.35 % (4034005)Termination reason: Refutation
% 2.54/1.35 % (4034005)Time elapsed: 0.003 s
% 2.54/1.35 % (4034005)Peak memory usage: 89 MB
% 2.54/1.35 % (4034005)Instructions burned: 4 (million)
% 2.54/1.35 % (4034005)------------------------------
% 2.54/1.35 % (4034005)------------------------------
% 2.54/1.35 % (4033996)Success in time 0.272 s
% 2.54/1.35 % Vampire exiting
%------------------------------------------------------------------------------