%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 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 : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).
fof(f174,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).
fof(f175,axiom,
subset(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).
fof(f176,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).
fof(f448,plain,
member(f17(a,c),a),
inference(resolution,[],[f80,f176]) ).
fof(f449,plain,
~ member(f17(a,c),c),
inference(resolution,[],[f81,f176]) ).
fof(f592,plain,
! [X0] :
( member(X0,b)
| ~ member(X0,a) ),
inference(resolution,[],[f79,f174]) ).
fof(f593,plain,
! [X0] :
( member(X0,c)
| ~ member(X0,b) ),
inference(resolution,[],[f79,f175]) ).
fof(f857,plain,
~ member(f17(a,c),b),
inference(resolution,[],[f593,f449]) ).
fof(f881,plain,
~ member(f17(a,c),a),
inference(resolution,[],[f857,f592]) ).
fof(f882,plain,
$false,
inference(forward_subsumption_resolution,[],[f881,f448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:11:25 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.15/0.48 % (1914707)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (1914713)% WARNING: option uhcvi not known.
% 0.15/0.48 % (1914713)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2164417108:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (1914712)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2340406582_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (1914714)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1941243418:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (1914715)dis+10_1_sil=32000:sp=arity:random_seed=4070317903:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (1914716)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1701021282:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (1914718)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2303113728:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % (1914717)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2922648146:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % (1914716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1914707-1914716"...
% 0.15/0.48 % (1914718) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1914707-1914718"...
% 0.15/0.48 % (1914716)...printing done.
% 0.15/0.48 % (1914718)...printing done.
% 0.15/0.48 % (1914716)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (1914716)------------------------------
% 0.15/0.49 % (1914716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49 % (1914716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49 % (1914716)CaDiCaL version: 2.1.3
% 0.15/0.49 % (1914716)Termination reason: Refutation
% 0.15/0.49 % (1914716)Time elapsed: 0.022 s
% 0.15/0.49 % (1914716)Peak memory usage: 12 MB
% 0.15/0.49 % (1914716)Instructions burned: 36 (million)
% 0.15/0.49 % (1914707)Success in time 0.066 s
% 0.15/0.49 % Vampire exiting
%------------------------------------------------------------------------------