%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET588+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:44:01 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 11 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 32 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f4,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_subset1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
? [X0,X1,X2] :
( ~ subset(difference(X0,X2),difference(X1,X2))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f8,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
subset(sK1,sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
~ subset(difference(sK1,sK3),difference(sK2,sK3)),
inference(cnf_transformation,[],[f7]) ).
fof(f17,plain,
member(sK0(difference(sK1,sK3),difference(sK2,sK3)),difference(sK1,sK3)),
inference(resolution,[],[f12,f16]) ).
fof(f18,plain,
~ member(sK0(difference(sK1,sK3),difference(sK2,sK3)),difference(sK2,sK3)),
inference(resolution,[],[f13,f16]) ).
fof(f19,plain,
member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK1),
inference(resolution,[],[f17,f9]) ).
fof(f20,plain,
~ member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK3),
inference(resolution,[],[f17,f8]) ).
fof(f21,plain,
! [X0] :
( member(X0,sK2)
| ~ member(X0,sK1) ),
inference(resolution,[],[f11,f15]) ).
fof(f26,plain,
( ~ member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK2)
| member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK3) ),
inference(resolution,[],[f18,f10]) ).
fof(f27,plain,
~ member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK2),
inference(forward_subsumption_resolution,[],[f26,f20]) ).
fof(f42,plain,
~ member(sK0(difference(sK1,sK3),difference(sK2,sK3)),sK1),
inference(resolution,[],[f27,f21]) ).
fof(f44,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET588+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:16:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (743267)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (743277)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1967571730:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (743273)% WARNING: option uhcvi not known.
% 0.11/0.45 % (743272)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2309190940_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (743273)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1303544844:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (743274)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=836927763:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (743275)dis+10_1_sil=32000:sp=arity:random_seed=1388918966:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (743276)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1919983338:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (743278)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=264569862:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (743277) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-743267-743277"...
% 0.11/0.45 % (743276) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-743267-743276"...
% 0.11/0.45 % (743277)...printing done.
% 0.11/0.45 % (743278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-743267-743278"...
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (743276)...printing done.
% 0.11/0.45 % (743275) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-743267-743275"...
% 0.11/0.45 % (743278)...printing done.
% 0.11/0.45 % (743276)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (743276)------------------------------
% 0.11/0.45 % (743276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (743276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (743276)CaDiCaL version: 2.1.3
% 0.11/0.45 % (743276)Termination reason: Refutation
% 0.11/0.45 % (743276)Time elapsed: 0.002 s
% 0.11/0.45 % (743276)Peak memory usage: 11 MB
% 0.11/0.45 % (743276)Instructions burned: 2 (million)
% 0.11/0.45 % (743267)Success in time 0.034 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------