%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET011-1 : 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 : n020.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 12:42:33 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 8 unt; 2 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 46 ~; 51 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
fof(f11,axiom,
! [X2,X0,X1] :
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
fof(f12,axiom,
! [X2,X0,X1] :
( intersection(X0,X1,X2)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X0)
| ~ member(h(X0,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom3) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X1,X2,X3)
| ~ member(X0,X1)
| member(X0,X3)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
fof(f19,axiom,
difference(a,b,aDb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_minus_b) ).
fof(f20,axiom,
difference(a,aDb,aD_aDb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_minus_aDb) ).
fof(f21,negated_conjecture,
~ intersection(a,b,aD_aDb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_intersection_b_is_aD_aDb) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,aD_aDb)
| member(X0,a) ),
inference(resolution,[],[f13,f20]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,aDb)
| ~ member(X0,b) ),
inference(resolution,[],[f14,f19]) ).
fof(f27,plain,
! [X0] :
( ~ member(X0,aD_aDb)
| ~ member(X0,aDb) ),
inference(resolution,[],[f14,f20]) ).
fof(f28,plain,
! [X0] :
( member(X0,aDb)
| ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[],[f15,f19]) ).
fof(f29,plain,
! [X0] :
( member(X0,aD_aDb)
| ~ member(X0,a)
| member(X0,aDb) ),
inference(resolution,[],[f15,f20]) ).
fof(f30,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),a) ),
inference(resolution,[],[f10,f21]) ).
fof(f34,plain,
member(h(a,b,aD_aDb),a),
inference(forward_subsumption_resolution,[],[f30,f25]) ).
fof(f35,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| member(h(a,b,aD_aDb),b) ),
inference(resolution,[],[f11,f21]) ).
fof(f40,definition,
( spl0_1
<=> member(h(a,b,aD_aDb),b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f41,plain,
( ~ member(h(a,b,aD_aDb),b)
| spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f42,plain,
( member(h(a,b,aD_aDb),b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f44,definition,
( spl0_2
<=> member(h(a,b,aD_aDb),aD_aDb) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f45,plain,
( ~ member(h(a,b,aD_aDb),aD_aDb)
| spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( member(h(a,b,aD_aDb),aD_aDb)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f35,f44,f40]) ).
fof(f52,plain,
( ~ member(h(a,b,aD_aDb),aDb)
| ~ spl0_2 ),
inference(resolution,[],[f27,f46]) ).
fof(f56,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),a)
| ~ member(h(a,b,aD_aDb),aD_aDb) ),
inference(resolution,[],[f12,f21]) ).
fof(f60,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aD_aDb) ),
inference(forward_subsumption_resolution,[],[f56,f25]) ).
fof(f61,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f60,f46]) ).
fof(f62,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f61,f44,f40]) ).
fof(f68,plain,
( ~ member(h(a,b,aD_aDb),a)
| member(h(a,b,aD_aDb),b)
| ~ spl0_2 ),
inference(resolution,[],[f28,f52]) ).
fof(f69,plain,
( member(h(a,b,aD_aDb),b)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f68,f34]) ).
fof(f70,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f69,f41]) ).
fof(f71,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f74,plain,
( ~ member(h(a,b,aD_aDb),a)
| member(h(a,b,aD_aDb),aDb)
| spl0_2 ),
inference(resolution,[],[f29,f45]) ).
fof(f75,plain,
( member(h(a,b,aD_aDb),aDb)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f74,f34]) ).
fof(f76,plain,
( ~ member(h(a,b,aD_aDb),b)
| spl0_2 ),
inference(resolution,[],[f75,f26]) ).
fof(f78,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f76,f42]) ).
fof(f79,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f78]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f47]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f80,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/5.39 % Computer : n020.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 28 00:04:10 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/5.43 Running first-order model finding
% 0.16/5.43 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
% 0.16/5.48 % (3904802)Will run a generic schedule for satisfiability detection.
% 0.16/5.48 % (3904807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2564518916_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/5.48 % TRYING [1]
% 0.16/5.48 % TRYING [2]
% 0.16/5.48 % TRYING [3]
% 0.16/5.48 % (3904808)% WARNING: option uhcvi not known.
% 0.16/5.48 % TRYING [4]
% 0.16/5.48 % (3904809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=714387512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/5.48 % (3904808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3726350725:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/5.48 % (3904810)dis+10_1_sil=32000:sp=arity:random_seed=3543614749:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/5.48 % (3904811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=429492389:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/5.48 % (3904812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=490001202:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/5.48 % (3904813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2499451929:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/5.48 % (3904811) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3904802-3904811"...
% 0.16/5.48 % (3904811)...printing done.
% 0.16/5.48 % (3904811)Refutation found. Thanks to Tanya!
% 0.16/5.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/5.48 % (3904811)------------------------------
% 0.16/5.48 % (3904811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.48 % (3904811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.48 % (3904811)CaDiCaL version: 2.1.3
% 0.16/5.48 % (3904811)Termination reason: Refutation
% 0.16/5.48 % (3904811)Time elapsed: 0.003 s
% 0.16/5.48 % (3904811)Peak memory usage: 12 MB
% 0.16/5.48 % (3904811)Instructions burned: 4 (million)
% 0.16/5.48 % (3904802)Success in time 0.045 s
% 0.16/5.48 % Vampire exiting
%------------------------------------------------------------------------------