%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ003-1 : 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 : n006.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 12:31:03 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.48s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ shaved(X0,X1)
| ~ member(X1)
| ~ member(X0)
| shaved(members,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).
fof(f2,axiom,
! [X0,X1] :
( ~ shaved(members,X0)
| ~ member(X1)
| shaved(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).
fof(f3,axiom,
member(guido),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido) ).
fof(f4,axiom,
member(lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lorenzo) ).
fof(f5,axiom,
member(petruchio),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',petruchio) ).
fof(f6,axiom,
member(cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cesare) ).
fof(f7,axiom,
shaved(guido,cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).
fof(f8,negated_conjecture,
~ shaved(petruchio,lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).
fof(f9,plain,
( ~ member(cesare)
| ~ member(guido)
| shaved(members,guido) ),
inference(resolution,[],[f1,f7]) ).
fof(f10,plain,
( ~ member(guido)
| shaved(members,guido) ),
inference(forward_subsumption_resolution,[],[f9,f6]) ).
fof(f11,plain,
shaved(members,guido),
inference(forward_subsumption_resolution,[],[f10,f3]) ).
fof(f12,plain,
! [X0] :
( shaved(X0,guido)
| ~ member(X0) ),
inference(resolution,[],[f11,f2]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0)
| ~ member(guido)
| ~ member(X0)
| shaved(members,X0) ),
inference(resolution,[],[f12,f1]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0)
| ~ member(guido)
| shaved(members,X0) ),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f27,plain,
! [X0] :
( shaved(members,X0)
| ~ member(X0) ),
inference(forward_subsumption_resolution,[],[f26,f3]) ).
fof(f28,plain,
! [X0,X1] :
( shaved(X1,X0)
| ~ member(X1)
| ~ member(X0) ),
inference(resolution,[],[f27,f2]) ).
fof(f31,plain,
( ~ member(petruchio)
| ~ member(lorenzo) ),
inference(resolution,[],[f28,f8]) ).
fof(f35,plain,
~ member(lorenzo),
inference(forward_subsumption_resolution,[],[f31,f5]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[],[f35,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 22:28:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 3.63/1.48 % (3388232)Input is clausal, will run a generic CNF schedule.
% 3.63/1.48 % (3388241)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=617823860:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.48 % (3388241)Refutation not found, incomplete strategy
% 3.63/1.48 % (3388241)------------------------------
% 3.63/1.48 % (3388241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (3388241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (3388241)CaDiCaL version: 2.1.3
% 3.63/1.48 % (3388241)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.48 % (3388241)Time elapsed: 0.0000 s
% 3.63/1.48 % (3388241)Peak memory usage: 87 MB
% 3.63/1.48 % (3388237)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=2433054308:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.48 % (3388239)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1659055731:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.48 % (3388240)lrs+10_1_sil=8000:sp=occurrence:random_seed=2447194755:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.48 % (3388238)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1753479757:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.48 % (3388240)First to succeed.
% 3.63/1.48 % (3388240)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3388232"
% 3.63/1.48 % (3388243)dis-21_1_sil=8000:lcm=predicate:random_seed=913854139: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)
% 3.63/1.48 % (3388242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=695058384:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.48 % (3388242)Also succeeded, but the first one will report.
% 3.63/1.48 % (3388243)Also succeeded, but the first one will report.
% 3.63/1.48 % (3388241)------------------------------
% 3.63/1.48 % (3388241)------------------------------
% 3.63/1.48 % (3388251)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1418021392:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.63/1.48 % (3388251)Also succeeded, but the first one will report.
% 3.63/1.48 % (3388240)Refutation found. Thanks to Tanya!
% 3.63/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48 % (3388240)------------------------------
% 3.63/1.48 % (3388240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (3388240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (3388240)CaDiCaL version: 2.1.3
% 3.63/1.48 % (3388240)Termination reason: Refutation
% 3.63/1.48 % (3388240)Time elapsed: 0.002 s
% 3.63/1.48 % (3388240)Peak memory usage: 88 MB
% 3.63/1.48 % (3388240)Instructions burned: 1 (million)
% 3.63/1.48 % (3388240)------------------------------
% 3.63/1.48 % (3388240)------------------------------
% 3.63/1.48 % (3388232)Success in time 0.437 s
% 3.63/1.48 % Vampire exiting
%------------------------------------------------------------------------------