%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:04:45 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.33s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 28 ( 28 !; 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/sandbox2/benchmark/theBenchmark.p',not_part_inheritance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] :
( ~ has_parts(object_in(X0,X4,X3,X1,X2),X2,X3)
| ~ has_parts(X0,X1,X4)
| has_parts(X0,times(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_inheritance) ).
fof(f3,axiom,
in(john,boy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',john_is_a_boy) ).
fof(f4,axiom,
! [X0] :
( in(X0,human)
| ~ in(X0,boy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_boy_in_human) ).
fof(f5,axiom,
! [X0] :
( has_parts(X0,n5,fingers)
| ~ in(X0,hand) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hands_have_5_fingers) ).
fof(f6,axiom,
! [X0] :
( has_parts(X0,n2,arm)
| ~ in(X0,human) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',humans_have_two_arms) ).
fof(f7,axiom,
! [X0] :
( has_parts(X0,n1,hand)
| ~ in(X0,arm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arms_have_one_hand) ).
fof(f8,negated_conjecture,
~ has_parts(john,times(times(n2,n1),n5),fingers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_john_has_10_fingers) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ in(object_in(X0,X2,fingers,X1,n5),hand)
| has_parts(X0,times(X1,n5),fingers)
| ~ has_parts(X0,X1,X2) ),
inference(resolution,[],[f2,f5]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ in(object_in(X0,X2,hand,X1,n1),arm)
| has_parts(X0,times(X1,n1),hand)
| ~ has_parts(X0,X1,X2) ),
inference(resolution,[],[f2,f7]) ).
fof(f12,plain,
! [X0,X1] :
( has_parts(X0,times(X1,n5),fingers)
| ~ has_parts(X0,X1,hand)
| has_parts(X0,times(X1,n5),fingers)
| ~ has_parts(X0,X1,hand) ),
inference(resolution,[],[f9,f1]) ).
fof(f13,plain,
! [X0,X1] :
( has_parts(X0,times(X1,n5),fingers)
| ~ has_parts(X0,X1,hand) ),
inference(duplicate_literal_removal,[],[f12]) ).
fof(f17,plain,
~ has_parts(john,times(n2,n1),hand),
inference(resolution,[],[f13,f8]) ).
fof(f19,plain,
! [X0,X1] :
( has_parts(X0,times(X1,n1),hand)
| ~ has_parts(X0,X1,arm)
| has_parts(X0,times(X1,n1),hand)
| ~ has_parts(X0,X1,arm) ),
inference(resolution,[],[f11,f1]) ).
fof(f20,plain,
! [X0,X1] :
( has_parts(X0,times(X1,n1),hand)
| ~ has_parts(X0,X1,arm) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f22,plain,
~ has_parts(john,n2,arm),
inference(resolution,[],[f20,f17]) ).
fof(f26,plain,
~ in(john,human),
inference(resolution,[],[f22,f6]) ).
fof(f28,plain,
~ in(john,boy),
inference(resolution,[],[f26,f4]) ).
fof(f29,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:40:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/1.33 % (3775880)Input is clausal, will run a generic CNF schedule.
% 2.66/1.33 % (3775889)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1096844583:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.33 % (3775889)First to succeed.
% 2.66/1.33 % (3775889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3775880"
% 2.66/1.33 % (3775886)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2594165441:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.33 % (3775887)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1469823393:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.33 % (3775888)lrs+10_1_sil=8000:sp=occurrence:random_seed=3811410010:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.33 % (3775885)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=488492696:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.33 % (3775888)Also succeeded, but the first one will report.
% 2.66/1.33 % (3775891)dis-21_1_sil=8000:lcm=predicate:random_seed=1501183881:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.33 % (3775890)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4135241795:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.33 % (3775890)Also succeeded, but the first one will report.
% 2.66/1.33 % (3775891)Also succeeded, but the first one will report.
% 2.66/1.33 % (3775889)Refutation found. Thanks to Tanya!
% 2.66/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.33 % (3775889)------------------------------
% 2.66/1.33 % (3775889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33 % (3775889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33 % (3775889)CaDiCaL version: 2.1.3
% 2.66/1.33 % (3775889)Termination reason: Refutation
% 2.66/1.33 % (3775889)Time elapsed: 0.001 s
% 2.66/1.33 % (3775889)Peak memory usage: 88 MB
% 2.66/1.33 % (3775889)Instructions burned: 1 (million)
% 2.66/1.33 % (3775889)------------------------------
% 2.66/1.33 % (3775889)------------------------------
% 2.66/1.33 % (3775880)Success in time 0.288 s
% 2.66/1.33 % Vampire exiting
%------------------------------------------------------------------------------