%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MSC003-1 : 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 : n015.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 12:05:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 9 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( in(object_in(X0,X1,X2,X3,X4),X1)
| has_parts(X0,times(X3,X4),X2)
| ~ has_parts(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_part_inheritance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] :
( has_parts(X0,times(X1,X2),X3)
| ~ has_parts(X0,X1,X4)
| ~ has_parts(object_in(X0,X4,X3,X1,X2),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_inheritance) ).
fof(f3,axiom,
in(john,boy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',john_is_a_boy) ).
fof(f4,axiom,
! [X0] :
( in(X0,human)
| ~ in(X0,boy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_boy_in_human) ).
fof(f6,axiom,
! [X0] :
( has_parts(X0,n2,arm)
| ~ in(X0,human) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',humans_have_two_arms) ).
fof(f7,axiom,
! [X0] :
( has_parts(X0,n1,hand)
| ~ in(X0,arm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arms_have_one_hand) ).
fof(f8,negated_conjecture,
~ has_parts(john,times(n2,n1),hand),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_john_has_2_hands) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( has_parts(X0,times(X3,X4),X2)
| ~ in(object_in(X0,X1,X2,X3,X4),X1)
| ~ has_parts(X0,X3,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f10,plain,
~ in(john,boy),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f11,plain,
! [X0] :
( in(X0,boy)
| ~ in(X0,human) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f13,plain,
! [X0] :
( has_parts(X0,n2,arm)
| in(X0,human) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f14,plain,
! [X0] :
( has_parts(X0,n1,hand)
| in(X0,arm) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f15,plain,
~ in(john,human),
inference(resolution,[],[f11,f10]) ).
fof(f16,plain,
! [X0] :
( ~ has_parts(john,n2,X0)
| ~ in(object_in(john,X0,hand,n2,n1),X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f17,plain,
( ~ in(object_in(john,arm,hand,n2,n1),arm)
| in(john,human) ),
inference(resolution,[],[f16,f13]) ).
fof(f19,definition,
( spl0_1
<=> in(john,human) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f21,plain,
( in(john,human)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f23,definition,
( spl0_2
<=> in(object_in(john,arm,hand,n2,n1),arm) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ~ in(object_in(john,arm,hand,n2,n1),arm)
| spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f26,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f17,f23,f19]) ).
fof(f27,plain,
! [X0] :
( ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand)
| ~ has_parts(john,n2,X0) ),
inference(resolution,[],[f2,f8]) ).
fof(f28,plain,
! [X0] :
( in(object_in(john,X0,hand,n2,n1),arm)
| ~ has_parts(john,n2,X0) ),
inference(resolution,[],[f27,f14]) ).
fof(f29,plain,
( ~ has_parts(john,n2,arm)
| spl0_2 ),
inference(resolution,[],[f28,f25]) ).
fof(f30,plain,
( in(john,human)
| spl0_2 ),
inference(resolution,[],[f29,f13]) ).
fof(f31,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f23,f19]) ).
fof(f32,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f21,f15]) ).
fof(f33,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f32]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
spl0_2,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f34,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:43:31 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.44 % (1894169)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (1894180)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=706113147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.44 % (1894180) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1894169-1894180"...
% 0.13/0.44 % (1894180)...printing done.
% 0.13/0.44 % (1894180)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (1894180)------------------------------
% 0.13/0.45 % (1894180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (1894180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (1894180)CaDiCaL version: 2.1.3
% 0.13/0.45 % (1894180)Termination reason: Refutation
% 0.13/0.45 % (1894180)Time elapsed: 0.001 s
% 0.13/0.45 % (1894180)Peak memory usage: 12 MB
% 0.13/0.45 % (1894180)Instructions burned: 1 (million)
% 0.13/0.45 % (1894169)Success in time 0.025 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------