%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:31:04 PM UTC 2026
% Result : Unsatisfiable 2.80s 1.38s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X3,X0,X1] :
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3)))
| ~ achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',missionary_west_to_east) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : achievable(west(X0,X1),X2,east(m(s(X3)),c(s(s(X3))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extra_cannibal_meal_on_east_bank) ).
fof(f16,negated_conjecture,
! [X0] : ~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_can_get_to_east_bank) ).
fof(f19,plain,
~ achievable(west(m(s(n0)),c(n0)),boatonwest,east(m(s(s(n0))),c(s(s(s(n0)))))),
inference(resolution,[],[f5,f16]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f19,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:29:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.38 % (1368381)Input is clausal, will run a generic CNF schedule.
% 2.80/1.38 % (1368390)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2910167515:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/1.38 % (1368390)First to succeed.
% 2.80/1.38 % (1368390)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1368381"
% 2.80/1.38 % (1368391)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=191673022:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/1.38 % (1368392)dis-21_1_sil=8000:lcm=predicate:random_seed=3939881730: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)
% 2.80/1.38 % (1368386)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=3543616558:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/1.38 % (1368387)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=774760791:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/1.38 % (1368389)lrs+10_1_sil=8000:sp=occurrence:random_seed=931654503:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/1.38 % (1368388)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2169267041:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/1.38 % (1368389)Refutation not found, incomplete strategy
% 2.80/1.38 % (1368389)------------------------------
% 2.80/1.38 % (1368389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.38 % (1368389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.38 % (1368389)CaDiCaL version: 2.1.3
% 2.80/1.38 % (1368389)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.38 % (1368389)Time elapsed: 0.001 s
% 2.80/1.38 % (1368389)Peak memory usage: 87 MB
% 2.80/1.38 % (1368391)Also succeeded, but the first one will report.
% 2.80/1.38 % (1368392)Also succeeded, but the first one will report.
% 2.80/1.38 % (1368390)Refutation found. Thanks to Tanya!
% 2.80/1.38 % SZS status Unsatisfiable for theBenchmark
% 2.80/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/1.38 % (1368390)------------------------------
% 2.80/1.38 % (1368390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.38 % (1368390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.38 % (1368390)CaDiCaL version: 2.1.3
% 2.80/1.38 % (1368390)Termination reason: Refutation
% 2.80/1.38 % (1368390)Time elapsed: 0.001 s
% 2.80/1.38 % (1368390)Peak memory usage: 88 MB
% 2.80/1.38 % (1368390)Instructions burned: 1 (million)
% 2.80/1.38 % (1368390)------------------------------
% 2.80/1.38 % (1368390)------------------------------
% 2.80/1.38 % (1368381)Success in time 0.311 s
% 2.80/1.38 % Vampire exiting
%------------------------------------------------------------------------------