%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU149+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 29 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 7 |; 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 : 30 ( 27 !; 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(f25,plain,
singleton(sK4) = unordered_pair(sK5,sK6),
inference(cnf_transformation,[],[f10]) ).
fof(f26,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f14]) ).
fof(f30,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f31,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f30]) ).
fof(f35,plain,
in(sK5,singleton(sK4)),
inference(superposition,[],[f31,f25]) ).
fof(f47,plain,
sK4 = sK5,
inference(resolution,[],[f27,f35]) ).
fof(f49,plain,
$false,
inference(forward_subsumption_resolution,[],[f47,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU149+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 03:48:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.43 % (4128673)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (4128679)% WARNING: option uhcvi not known.
% 0.09/0.43 % (4128678)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1931048207_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.43 % (4128680)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=496745115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.43 % (4128681)dis+10_1_sil=32000:sp=arity:random_seed=657020700:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.43 % (4128679)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1848835777:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.43 % (4128684)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1032934847:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.43 % (4128682)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3459313524:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.43 % (4128683)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2272394300:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.43 % TRYING [1]
% 0.09/0.43 % TRYING [2]
% 0.09/0.43 % (4128681) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4128673-4128681"...
% 0.09/0.43 % (4128682) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4128673-4128682"...
% 0.09/0.43 % (4128679) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4128673-4128679"...
% 0.09/0.43 % (4128684) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4128673-4128684"...
% 0.09/0.43 % TRYING [3]
% 0.09/0.43 % (4128680) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4128673-4128680"...
% 0.09/0.43 % (4128679)...printing done.
% 0.09/0.43 % TRYING [4]
% 0.09/0.43 % (4128682)...printing done.
% 0.09/0.43 % (4128679)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (4128679)------------------------------
% 0.09/0.43 % (4128679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (4128679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (4128679)CaDiCaL version: 2.1.3
% 0.09/0.43 % (4128679)Termination reason: Refutation
% 0.09/0.43 % (4128679)Time elapsed: 0.002 s
% 0.09/0.43 % (4128679)Peak memory usage: 12 MB
% 0.09/0.43 % (4128679)Instructions burned: 1 (million)
% 0.09/0.43 % (4128673)Success in time 0.033 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------