%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET903+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:44:57 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 14 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2] :
~ ( singleton(X0) = set_union2(X1,X2)
& ~ ( X1 = singleton(X0)
& X2 = singleton(X0) )
& ~ ( X1 = empty_set
& X2 = singleton(X0) )
& ~ ( X1 = singleton(X0)
& X2 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_zfmisc_1) ).
fof(f9,conjecture,
! [X0,X1,X2] :
~ ( singleton(X0) = set_union2(X1,X2)
& X1 != X2
& X1 != empty_set
& X2 != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( singleton(X0) = set_union2(X1,X2)
& X1 != X2
& X1 != empty_set
& X2 != empty_set ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f14,plain,
! [X0,X1,X2] :
( singleton(X0) != set_union2(X1,X2)
| ( X1 = singleton(X0)
& X2 = singleton(X0) )
| ( X1 = empty_set
& X2 = singleton(X0) )
| ( X1 = singleton(X0)
& X2 = empty_set ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
? [X0,X1,X2] :
( singleton(X0) = set_union2(X1,X2)
& X1 != X2
& X1 != empty_set
& X2 != empty_set ),
inference(ennf_transformation,[],[f10]) ).
fof(f25,plain,
! [X2,X0,X1] :
( singleton(X0) != set_union2(X1,X2)
| singleton(X0) = X2
| empty_set = X2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( singleton(X0) != set_union2(X1,X2)
| singleton(X0) = X1
| empty_set = X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
empty_set != sK4,
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
empty_set != sK3,
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
singleton(sK2) = set_union2(sK3,sK4),
inference(cnf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0] :
( singleton(X0) != singleton(sK2)
| singleton(X0) = sK4
| empty_set = sK4 ),
inference(superposition,[],[f25,f34]) ).
fof(f56,plain,
! [X0] :
( singleton(X0) != singleton(sK2)
| singleton(X0) = sK4 ),
inference(forward_subsumption_resolution,[],[f52,f31]) ).
fof(f57,plain,
! [X0] :
( singleton(X0) != singleton(sK2)
| singleton(X0) = sK3
| empty_set = sK3 ),
inference(superposition,[],[f28,f34]) ).
fof(f61,plain,
! [X0] :
( singleton(X0) != singleton(sK2)
| singleton(X0) = sK3 ),
inference(forward_subsumption_resolution,[],[f57,f32]) ).
fof(f67,plain,
sK4 = singleton(sK2),
inference(equality_resolution,[],[f56]) ).
fof(f72,plain,
( sK4 != sK4
| sK3 = sK4 ),
inference(superposition,[],[f61,f67]) ).
fof(f73,plain,
sK3 = sK4,
inference(trivial_inequality_removal,[],[f72]) ).
fof(f74,plain,
$false,
inference(forward_subsumption_resolution,[],[f73,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET903+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 03:07:37 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % (4112981)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (4112986)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1546389340_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % Detected minimum model sizes of [3]
% 0.17/0.48 % Detected maximum model sizes of [max]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (4112987)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [6]
% 0.17/0.48 % (4112988)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2084818173:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (4112987)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2027147673:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (4112989)dis+10_1_sil=32000:sp=arity:random_seed=4107094714:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (4112990)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2754988139:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (4112991)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3227677480:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (4112992)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3366403401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (4112987) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112987"...
% 0.17/0.48 % (4112989) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112989"...
% 0.17/0.48 % (4112991) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112991"...
% 0.17/0.48 % (4112990) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112990"...
% 0.17/0.48 % (4112992) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112992"...
% 0.17/0.48 % (4112987)...printing done.
% 0.17/0.48 % TRYING [7]
% 0.17/0.48 % (4112989)...printing done.
% 0.17/0.48 % (4112990)...printing done.
% 0.17/0.48 % (4112991)...printing done.
% 0.17/0.48 % (4112988) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4112981-4112988"...
% 0.17/0.48 % (4112987)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (4112987)------------------------------
% 0.17/0.48 % (4112987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (4112987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (4112987)CaDiCaL version: 2.1.3
% 0.17/0.48 % (4112987)Termination reason: Refutation
% 0.17/0.48 % (4112987)Time elapsed: 0.003 s
% 0.17/0.48 % (4112987)Peak memory usage: 12 MB
% 0.17/0.48 % (4112987)Instructions burned: 3 (million)
% 0.17/0.48 % (4112981)Success in time 0.044 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------