%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET008-1 : 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 : n010.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
fof(f11,axiom,
! [X2,X0,X1] :
( member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
fof(f14,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(f19,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
fof(f20,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bDa) ).
fof(f21,negated_conjecture,
! [X0] : ~ member(X0,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
fof(f35,plain,
! [X0] :
( ~ member(X0,bDa)
| ~ member(X0,a) ),
inference(resolution,[],[f14,f19]) ).
fof(f41,plain,
! [X0,X1] :
( member(h(X0,X1,aI_bDa),X0)
| intersection(X0,X1,aI_bDa) ),
inference(resolution,[],[f10,f21]) ).
fof(f51,plain,
! [X0,X1] :
( member(h(X0,X1,aI_bDa),X1)
| intersection(X0,X1,aI_bDa) ),
inference(resolution,[],[f11,f21]) ).
fof(f76,plain,
! [X0] :
( ~ member(h(X0,bDa,aI_bDa),a)
| intersection(X0,bDa,aI_bDa) ),
inference(resolution,[],[f51,f35]) ).
fof(f170,plain,
( intersection(a,bDa,aI_bDa)
| intersection(a,bDa,aI_bDa) ),
inference(resolution,[],[f76,f41]) ).
fof(f171,plain,
intersection(a,bDa,aI_bDa),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f172,plain,
$false,
inference(forward_subsumption_resolution,[],[f171,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:03:18 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.47 % (1444329)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1444339)dis+10_1_sil=32000:sp=arity:random_seed=20297166:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (1444339) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1444329-1444339"...
% 0.18/0.47 % (1444339)...printing done.
% 0.18/0.47 % (1444336)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1444339)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1444339)------------------------------
% 0.18/0.47 % (1444339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1444339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1444339)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1444339)Termination reason: Refutation
% 0.18/0.47 % (1444339)Time elapsed: 0.002 s
% 0.18/0.47 % (1444339)Peak memory usage: 11 MB
% 0.18/0.47 % (1444339)Instructions burned: 4 (million)
% 0.18/0.47 % (1444329)Success in time 0.036 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------