%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU149+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:52:06 PM UTC 2026
% Result : Theorem 0.08s 0.35s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 32 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 1 &)
% ( 4 <=>; 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; 3 con; 0-2 aty)
% Number of variables : 34 ( 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f7,conjecture,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
? [X0,X1,X2] :
( X0 != X1
& singleton(X0) = unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( X0 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
singleton(sK2) = unordered_pair(sK3,sK4),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f10]) ).
fof(f25,plain,
! [X2,X0] :
( X0 = X2
| ~ in(X2,singleton(X0)) ),
inference(equality_resolution,[],[f14]) ).
fof(f28,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f29,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f28]) ).
fof(f36,plain,
! [X2,X0] :
( in(X2,singleton(X0))
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f38,plain,
! [X3,X1] : ~ in(X3,unordered_pair(X3,X1)),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f44,plain,
~ in(sK3,singleton(sK2)),
inference(superposition,[],[f38,f23]) ).
fof(f52,plain,
sK2 = sK3,
inference(resolution,[],[f36,f44]) ).
fof(f54,plain,
$false,
inference(forward_subsumption_resolution,[],[f52,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU149+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 03:45:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % (2996485)Will run a generic schedule for satisfiability detection.
% 0.08/0.35 % (2996491)% WARNING: option uhcvi not known.
% 0.08/0.35 % (2996490)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1445377849_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.35 % (2996492)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4220908360:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.35 % (2996491)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1517861303:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.35 % (2996493)dis+10_1_sil=32000:sp=arity:random_seed=4129756265:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.35 % (2996494)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3630806490:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.35 % (2996495)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2088368014:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.35 % (2996496)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=583218906:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.35 % TRYING [1]
% 0.08/0.35 % TRYING [2]
% 0.08/0.35 % TRYING [3]
% 0.08/0.35 % (2996491) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996491"...
% 0.08/0.35 % (2996492) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996492"...
% 0.08/0.35 % (2996493) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996493"...
% 0.08/0.35 % (2996494) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996494"...
% 0.08/0.35 % TRYING [4]
% 0.08/0.35 % (2996496) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996496"...
% 0.08/0.35 % (2996491)...printing done.
% 0.08/0.35 % (2996492)...printing done.
% 0.08/0.35 % (2996494)...printing done.
% 0.08/0.35 % (2996493)...printing done.
% 0.08/0.35 % (2996495) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2996485-2996495"...
% 0.08/0.35 % (2996491)Refutation found. Thanks to Tanya!
% 0.08/0.35 % SZS status Theorem for theBenchmark
% 0.08/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.35 % (2996491)------------------------------
% 0.08/0.35 % (2996491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.35 % (2996491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.35 % (2996491)CaDiCaL version: 2.1.3
% 0.08/0.35 % (2996491)Termination reason: Refutation
% 0.08/0.35 % (2996491)Time elapsed: 0.001 s
% 0.08/0.35 % (2996491)Peak memory usage: 12 MB
% 0.08/0.35 % (2996491)Instructions burned: 1 (million)
% 0.08/0.35 % (2996485)Success in time 0.023 s
% 0.08/0.35 % Vampire exiting
%------------------------------------------------------------------------------