%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET883+1 : 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 : n006.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 12:44:55 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 3 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,conjecture,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_zfmisc_1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f8,plain,
? [X0,X1] :
( X0 != X1
& subset(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
subset(singleton(sK2),singleton(sK3)),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
~ subset(singleton(sK2),singleton(sK3)),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f20,plain,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f21,plain,
sK2 = sK3,
inference(resolution,[],[f20,f19]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f21,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:06:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.47 % (3543657)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3543662)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3031392819_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % TRYING [7]
% 0.17/0.47 % TRYING [8]
% 0.17/0.47 % (3543663)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [9]
% 0.17/0.47 % TRYING [10]
% 0.17/0.47 % TRYING [11]
% 0.17/0.47 % (3543663)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1197471796:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3543664)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2966951717:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3543665)dis+10_1_sil=32000:sp=arity:random_seed=4122774789:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3543666)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3859836761:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3543668)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=819000284:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [12]
% 0.17/0.47 % (3543667)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3619343227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3543663) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543663"...
% 0.17/0.47 % (3543664) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543664"...
% 0.17/0.47 % (3543665) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543665"...
% 0.17/0.47 % (3543666) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543666"...
% 0.17/0.47 % (3543668) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543668"...
% 0.17/0.47 % (3543667) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3543657-3543667"...
% 0.17/0.47 % (3543663)...printing done.
% 0.17/0.47 % (3543664)...printing done.
% 0.17/0.47 % (3543665)...printing done.
% 0.17/0.47 % (3543666)...printing done.
% 0.17/0.47 % (3543663)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (3543663)------------------------------
% 0.17/0.47 % (3543663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3543663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3543663)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3543663)Termination reason: Refutation
% 0.17/0.47 % (3543663)Time elapsed: 0.001 s
% 0.17/0.47 % (3543663)Peak memory usage: 11 MB
% 0.17/0.47 % (3543657)Success in time 0.033 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------