%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET009-1 : 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 : n008.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 12:42:32 PM UTC 2026
% Result : Unsatisfiable 0.17s 10.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X1,X2,X3)
| ~ member(X0,X1)
| member(X0,X3)
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
fof(f13,axiom,
subset(d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
fof(f14,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
fof(f15,axiom,
difference(b,d,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_d) ).
fof(f16,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
fof(f17,plain,
member(member_of_1_not_of_2(bDa,bDd),bDa),
inference(resolution,[],[f2,f16]) ).
fof(f18,plain,
~ member(member_of_1_not_of_2(bDa,bDd),bDd),
inference(resolution,[],[f3,f16]) ).
fof(f19,plain,
! [X0] :
( member(X0,a)
| ~ member(X0,d) ),
inference(resolution,[],[f1,f13]) ).
fof(f22,plain,
! [X0] :
( ~ member(X0,bDa)
| member(X0,b) ),
inference(resolution,[],[f7,f14]) ).
fof(f24,plain,
! [X0] :
( ~ member(X0,bDa)
| ~ member(X0,a) ),
inference(resolution,[],[f8,f14]) ).
fof(f26,plain,
member(member_of_1_not_of_2(bDa,bDd),b),
inference(resolution,[],[f22,f17]) ).
fof(f28,plain,
! [X0] :
( member(X0,bDd)
| ~ member(X0,b)
| member(X0,d) ),
inference(resolution,[],[f9,f15]) ).
fof(f35,plain,
~ member(member_of_1_not_of_2(bDa,bDd),a),
inference(resolution,[],[f24,f17]) ).
fof(f39,plain,
~ member(member_of_1_not_of_2(bDa,bDd),d),
inference(resolution,[],[f35,f19]) ).
fof(f42,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),b)
| member(member_of_1_not_of_2(bDa,bDd),d) ),
inference(resolution,[],[f28,f18]) ).
fof(f45,plain,
member(member_of_1_not_of_2(bDa,bDd),d),
inference(forward_subsumption_resolution,[],[f42,f26]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[],[f45,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/10.41 % Computer : n008.cluster.edu
% 0.12/10.41 % Model : x86_64 x86_64
% 0.12/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.41 % Memory : 8046.5625MB
% 0.12/10.41 % OS : Linux 6.8.0-71-generic
% 0.12/10.42 % CPULimit : 300
% 0.12/10.42 % WCLimit : 300
% 0.12/10.42 % DateTime : Mon Sep 28 00:04:04 UTC 2026
% 0.12/10.42 % CPUTime :
% 0.12/10.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/10.45 Running first-order model finding
% 0.12/10.45 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
% 0.17/10.51 % (1745588)Will run a generic schedule for satisfiability detection.
% 0.17/10.51 % (1745594)% WARNING: option uhcvi not known.
% 0.17/10.51 % (1745595)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=101973724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/10.51 % (1745597)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1408482289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/10.51 % (1745593)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=416445616_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/10.51 % (1745596)dis+10_1_sil=32000:sp=arity:random_seed=3139299234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/10.51 % (1745594)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2466262963:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/10.51 % (1745598)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3634394598:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/10.51 % (1745599)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3337038878:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/10.51 % TRYING [1]
% 0.17/10.51 % TRYING [2]
% 0.17/10.51 % (1745597) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1745588-1745597"...
% 0.17/10.51 % TRYING [3]
% 0.17/10.51 % (1745599) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1745588-1745599"...
% 0.17/10.51 % (1745597)...printing done.
% 0.17/10.51 % (1745597)Refutation found. Thanks to Tanya!
% 0.17/10.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/10.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/10.51 % (1745597)------------------------------
% 0.17/10.51 % (1745597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/10.51 % (1745597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/10.51 % (1745597)CaDiCaL version: 2.1.3
% 0.17/10.51 % (1745597)Termination reason: Refutation
% 0.17/10.51 % (1745597)Time elapsed: 0.002 s
% 0.17/10.51 % (1745597)Peak memory usage: 11 MB
% 0.17/10.51 % (1745597)Instructions burned: 2 (million)
% 0.17/10.51 % (1745588)Success in time 0.035 s
% 0.17/10.51 % Vampire exiting
%------------------------------------------------------------------------------