%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET602+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:44:06 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 25 ~; 19 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 53 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f6,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',empty_set) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',difference) ).
fof(f12,conjecture,
! [X0] : equal_set(difference(X0,X0),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI29) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(difference(X0,X0),empty_set),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f16]) ).
fof(f19,plain,
? [X0] : ~ equal_set(difference(X0,X0),empty_set),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,difference(X2,X1)) ),
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
~ equal_set(difference(sK3,sK3),empty_set),
inference(cnf_transformation,[],[f19]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f63,plain,
! [X0] : member(X0,empty_set),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f65,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f66,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f78,plain,
equal_set(difference(sK3,sK3),empty_set),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f83,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f52,f63]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ member(sK0(difference(X0,X1),X2),X0)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f65,f52]) ).
fof(f92,plain,
! [X2,X0,X1] :
( member(sK0(difference(X0,X1),X2),X1)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f66,f52]) ).
fof(f95,plain,
( ~ subset(difference(sK3,sK3),empty_set)
| ~ subset(empty_set,difference(sK3,sK3)) ),
inference(resolution,[],[f54,f78]) ).
fof(f96,plain,
~ subset(difference(sK3,sK3),empty_set),
inference(forward_subsumption_resolution,[],[f95,f83]) ).
fof(f318,plain,
! [X0,X1] :
( subset(difference(X0,X0),X1)
| subset(difference(X0,X0),X1) ),
inference(resolution,[],[f92,f91]) ).
fof(f327,plain,
! [X0,X1] : subset(difference(X0,X0),X1),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f646,plain,
$false,
inference(backward_subsumption_resolution,[],[f96,f327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET602+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 02:17:46 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.46 % (2956794)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (2956800)% WARNING: option uhcvi not known.
% 0.17/0.46 % (2956800)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=158437967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (2956799)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2446846394_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (2956801)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3752214698:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (2956804)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3247347751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (2956802)dis+10_1_sil=32000:sp=arity:random_seed=3801784483:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (2956803)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=847588317:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (2956805)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2244347699:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (2956800) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2956794-2956800"...
% 0.17/0.46 % (2956800)...printing done.
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % (2956800)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2956800)------------------------------
% 0.17/0.46 % (2956800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2956800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2956800)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2956800)Termination reason: Refutation
% 0.17/0.46 % (2956800)Time elapsed: 0.009 s
% 0.17/0.46 % (2956800)Peak memory usage: 12 MB
% 0.17/0.46 % (2956800)Instructions burned: 24 (million)
% 0.17/0.46 % (2956794)Success in time 0.037 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------