%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:42:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset3) ).
fof(f162,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_b) ).
fof(f163,axiom,
subset(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_c) ).
fof(f164,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_subset_c) ).
fof(f961,plain,
! [X0] :
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f79,f162]) ).
fof(f962,plain,
! [X0] :
( ~ member(X0,b)
| member(X0,c) ),
inference(resolution,[],[f79,f163]) ).
fof(f1002,plain,
! [X0] :
( member(f17(a,X0),b)
| subset(a,X0) ),
inference(resolution,[],[f961,f80]) ).
fof(f1098,plain,
! [X0] :
( member(f17(a,X0),c)
| subset(a,X0) ),
inference(resolution,[],[f1002,f962]) ).
fof(f1314,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[],[f1098,f81]) ).
fof(f1316,plain,
subset(a,c),
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1317,plain,
$false,
inference(forward_subsumption_resolution,[],[f1316,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 28 00:16:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 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
% 0.12/0.45 % (2877136)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2877141)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2337621395_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (2877142)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2877142)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3255903700:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (2877147)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=303508080:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (2877143)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3067452307:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (2877144)dis+10_1_sil=32000:sp=arity:random_seed=1469099397:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (2877145)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1020125110:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (2877146)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2308085453:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % (2877143) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2877136-2877143"...
% 0.12/0.45 % (2877143)...printing done.
% 0.12/0.45 % (2877143)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (2877143)------------------------------
% 0.12/0.45 % (2877143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (2877143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (2877143)CaDiCaL version: 2.1.3
% 0.12/0.45 % (2877143)Termination reason: Refutation
% 0.12/0.45 % (2877143)Time elapsed: 0.025 s
% 0.12/0.45 % (2877143)Peak memory usage: 12 MB
% 0.12/0.45 % (2877143)Instructions burned: 32 (million)
% 0.12/0.45 % (2877136)Success in time 0.063 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------