%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ006-1 : 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 : n019.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 3.35s 1.25s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 74 ( 18 unt; 9 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 135 ( 66 ~; 60 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( from_venus(X0)
| from_mars(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',from_mars_or_venus) ).
fof(f3,axiom,
! [X0] :
( female(X0)
| male(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).
fof(f5,axiom,
! [X0] :
( liar(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).
fof(f13,axiom,
! [X0] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).
fof(f16,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| ~ truthteller(X0)
| a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).
fof(f17,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| ~ liar(X0)
| ~ a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).
fof(f18,axiom,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
fof(f19,axiom,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
fof(f20,axiom,
says(ork,bog_is_male),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
fof(f21,axiom,
says(bog,ork_is_female),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
fof(f22,axiom,
( ~ a_truth(bog_is_from_venus)
| from_venus(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus1) ).
fof(f27,axiom,
( ~ from_mars(ork)
| a_truth(ork_is_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars2) ).
fof(f28,axiom,
( ~ male(bog)
| a_truth(bog_is_male) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male2) ).
fof(f29,axiom,
( ~ female(ork)
| a_truth(ork_is_female) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female2) ).
fof(f30,negated_conjecture,
~ female(bog),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bog_is_female) ).
fof(f32,definition,
( spl0_1
<=> a_truth(ork_is_female) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,definition,
( spl0_2
<=> female(ork) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ~ female(ork)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f29,f35,f32]) ).
fof(f39,definition,
( spl0_3
<=> a_truth(bog_is_male) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f40,plain,
( a_truth(bog_is_male)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f42,definition,
( spl0_4
<=> male(bog) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f44,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f42,f39]) ).
fof(f46,definition,
( spl0_5
<=> a_truth(ork_is_from_mars) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f49,definition,
( spl0_6
<=> from_mars(ork) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f51,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f27,f49,f46]) ).
fof(f53,definition,
( spl0_7
<=> a_truth(bog_is_from_venus) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f56,definition,
( spl0_8
<=> from_venus(bog) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f62,plain,
( male(bog)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f69,plain,
( ~ a_truth(bog_is_from_venus)
| spl0_7 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f70,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f22,f53,f56]) ).
fof(f73,plain,
male(bog),
inference(resolution,[],[f3,f30]) ).
fof(f74,plain,
( male(ork)
| spl0_2 ),
inference(resolution,[],[f3,f36]) ).
fof(f77,plain,
spl0_4,
inference(avatar_split_clause,[],[f73,f42]) ).
fof(f82,plain,
( ~ truthteller(ork)
| a_truth(bog_is_from_venus) ),
inference(resolution,[],[f16,f18]) ).
fof(f88,plain,
( ~ truthteller(ork)
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f82,f69]) ).
fof(f100,plain,
( ~ liar(ork)
| ~ a_truth(bog_is_male) ),
inference(resolution,[],[f17,f20]) ).
fof(f101,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_from_mars) ),
inference(resolution,[],[f17,f19]) ).
fof(f102,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_female) ),
inference(resolution,[],[f17,f21]) ).
fof(f103,plain,
( ~ liar(ork)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f100,f40]) ).
fof(f106,plain,
( ~ male(ork)
| ~ from_venus(ork)
| ~ spl0_3 ),
inference(resolution,[],[f103,f13]) ).
fof(f107,plain,
( truthteller(ork)
| ~ spl0_3 ),
inference(resolution,[],[f103,f5]) ).
fof(f108,plain,
( ~ from_venus(ork)
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f106,f74]) ).
fof(f120,plain,
( from_mars(ork)
| spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f108,f1]) ).
fof(f123,plain,
( spl0_6
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f120,f39,f35,f49]) ).
fof(f125,definition,
( spl0_10
<=> liar(bog) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f126,plain,
( ~ liar(bog)
| spl0_10 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f101,f125,f46]) ).
fof(f129,plain,
( ~ male(bog)
| ~ from_venus(bog)
| spl0_10 ),
inference(resolution,[],[f126,f13]) ).
fof(f133,plain,
( ~ from_venus(bog)
| ~ spl0_4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f129,f62]) ).
fof(f150,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f102,f125,f32]) ).
fof(f152,plain,
( $false
| ~ spl0_3
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f88,f107]) ).
fof(f153,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f156,plain,
( ~ spl0_8
| ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f133,f125,f42,f56]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f51]) ).
cnf(s8,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f70]) ).
cnf(s10,plain,
spl0_4,
inference(sat_conversion,[],[f77]) ).
cnf(s14,plain,
( spl0_2
| ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f123]) ).
cnf(s15,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f127]) ).
cnf(s23,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f153]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f156]) ).
cnf(s28,plain,
spl0_3,
inference(rat,[],[s2,s10]) ).
cnf(s30,plain,
spl0_7,
inference(rat,[],[s25,s28]) ).
cnf(s31,plain,
spl0_8,
inference(rat,[],[s8,s30]) ).
cnf(s32,plain,
spl0_10,
inference(rat,[],[s27,s10,s31]) ).
cnf(s33,plain,
~ spl0_1,
inference(rat,[],[s23,s32]) ).
cnf(s34,plain,
~ spl0_5,
inference(rat,[],[s15,s32]) ).
cnf(s36,plain,
~ spl0_6,
inference(rat,[],[s3,s34]) ).
cnf(s37,plain,
spl0_2,
inference(rat,[],[s14,s28,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s37,s33]) ).
fof(f157,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:29:03 UTC 2026
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 3.35/1.25 % (3476177)Input is clausal, will run a generic CNF schedule.
% 3.35/1.25 % (3476267)dis-21_1_sil=8000:lcm=predicate:random_seed=1381581387: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)
% 3.35/1.25 % (3476259)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3969350434:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.35/1.25 % (3476258)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=850662506:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.35/1.25 % (3476262)lrs+10_1_sil=8000:sp=occurrence:random_seed=1960995953:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.35/1.25 % (3476264)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3623746179:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.35/1.25 % (3476261)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2591167236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.35/1.25 % (3476265)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2836900919:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.35/1.25 % (3476264)First to succeed.
% 3.35/1.25 % (3476262)Also succeeded, but the first one will report.
% 3.35/1.25 % (3476267)Also succeeded, but the first one will report.
% 3.35/1.25 % (3476265)Also succeeded, but the first one will report.
% 3.35/1.25 % (3476264)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3476177"
% 3.35/1.25 % (3476264)Refutation found. Thanks to Tanya!
% 3.35/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.35/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/1.25 % (3476264)------------------------------
% 3.35/1.25 % (3476264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.25 % (3476264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.25 % (3476264)CaDiCaL version: 2.1.3
% 3.35/1.25 % (3476264)Termination reason: Refutation
% 3.35/1.25 % (3476264)Time elapsed: 0.003 s
% 3.35/1.25 % (3476264)Peak memory usage: 89 MB
% 3.35/1.25 % (3476264)Instructions burned: 2 (million)
% 3.35/1.25 % (3476264)------------------------------
% 3.35/1.25 % (3476264)------------------------------
% 3.35/1.25 % (3476177)Success in time 0.428 s
% 3.35/1.25 % Vampire exiting
%------------------------------------------------------------------------------