%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n001.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 12:31:49 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 91 ( 17 unt; 10 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 182 ( 86 ~; 86 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( from_venus(X0)
| from_mars(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
fof(f3,axiom,
! [X0] :
( female(X0)
| male(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
fof(f13,axiom,
! [X0] :
( ~ male(X0)
| ~ from_venus(X0)
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
fof(f14,axiom,
! [X0] :
( ~ male(X0)
| ~ from_mars(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',marsian_males_are_truthtellers) ).
fof(f15,axiom,
! [X0] :
( ~ female(X0)
| ~ from_mars(X0)
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',marsian_females_are_liars) ).
fof(f16,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| ~ truthteller(X0)
| a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
fof(f17,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| ~ liar(X0)
| ~ a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
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(f23,axiom,
( ~ a_truth(ork_is_from_mars)
| from_mars(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars1) ).
fof(f25,axiom,
( ~ a_truth(ork_is_female)
| female(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female1) ).
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(f34,plain,
( a_truth(ork_is_female)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl0_2
<=> female(ork) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f37,plain,
( female(ork)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f38,plain,
( ~ female(ork)
| spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f29,f36,f32]) ).
fof(f41,definition,
( spl0_3
<=> a_truth(bog_is_male) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f43,plain,
( a_truth(bog_is_male)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl0_4
<=> male(bog) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f46,plain,
( male(bog)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f45,f41]) ).
fof(f50,definition,
( spl0_5
<=> a_truth(ork_is_from_mars) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f54,definition,
( spl0_6
<=> from_mars(ork) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f57,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f27,f54,f50]) ).
fof(f63,definition,
( spl0_8
<=> from_venus(bog) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f65,plain,
( ~ from_venus(bog)
| spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f25,f32,f36]) ).
fof(f69,plain,
( spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f23,f50,f54]) ).
fof(f71,plain,
( from_mars(bog)
| spl0_8 ),
inference(resolution,[],[f1,f65]) ).
fof(f73,plain,
male(bog),
inference(resolution,[],[f3,f30]) ).
fof(f74,plain,
( male(ork)
| spl0_2 ),
inference(resolution,[],[f3,f38]) ).
fof(f77,plain,
spl0_4,
inference(avatar_split_clause,[],[f73,f45]) ).
fof(f82,plain,
( ~ from_venus(bog)
| liar(bog)
| ~ spl0_4 ),
inference(resolution,[],[f13,f46]) ).
fof(f83,plain,
( ~ from_venus(ork)
| liar(ork)
| spl0_2 ),
inference(resolution,[],[f13,f74]) ).
fof(f85,definition,
( spl0_9
<=> liar(ork) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f89,definition,
( spl0_10
<=> from_venus(ork) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f91,plain,
( ~ from_venus(ork)
| spl0_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl0_9
| ~ spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f83,f36,f89,f85]) ).
fof(f93,plain,
( ~ from_mars(bog)
| truthteller(bog)
| ~ spl0_4 ),
inference(resolution,[],[f14,f46]) ).
fof(f95,plain,
( truthteller(bog)
| ~ spl0_4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f93,f71]) ).
fof(f97,plain,
( from_mars(ork)
| spl0_10 ),
inference(resolution,[],[f91,f1]) ).
fof(f108,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f97,f89,f54]) ).
fof(f116,plain,
( ~ truthteller(bog)
| a_truth(ork_is_from_mars) ),
inference(resolution,[],[f16,f19]) ).
fof(f117,plain,
( ~ truthteller(bog)
| a_truth(ork_is_female) ),
inference(resolution,[],[f16,f21]) ).
fof(f118,plain,
( a_truth(ork_is_from_mars)
| ~ spl0_4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f116,f95]) ).
fof(f123,plain,
( spl0_5
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f118,f63,f45,f50]) ).
fof(f124,plain,
( a_truth(ork_is_female)
| ~ spl0_4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f117,f95]) ).
fof(f125,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f124,f63,f45,f32]) ).
fof(f126,plain,
( ~ from_mars(ork)
| liar(ork)
| ~ spl0_2 ),
inference(resolution,[],[f37,f15]) ).
fof(f130,plain,
( spl0_9
| ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f126,f36,f54,f85]) ).
fof(f132,plain,
( ~ liar(ork)
| ~ a_truth(bog_is_male) ),
inference(resolution,[],[f17,f20]) ).
fof(f133,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_from_mars) ),
inference(resolution,[],[f17,f19]) ).
fof(f134,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_female) ),
inference(resolution,[],[f17,f21]) ).
fof(f135,plain,
( ~ liar(bog)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f134,f34]) ).
fof(f137,plain,
( ~ liar(ork)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f132,f43]) ).
fof(f138,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f137,f41,f85]) ).
fof(f140,definition,
( spl0_12
<=> liar(bog) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f143,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f82,f45,f63,f140]) ).
fof(f156,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f133,f140,f50]) ).
fof(f159,plain,
( ~ spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f135,f32,f140]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f67]) ).
cnf(s7,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f69]) ).
cnf(s10,plain,
spl0_4,
inference(sat_conversion,[],[f77]) ).
cnf(s11,plain,
( spl0_2
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f92]) ).
cnf(s14,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f108]) ).
cnf(s19,plain,
( ~ spl0_4
| spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s20,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s24,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f143]) ).
cnf(s29,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f156]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_12 ),
inference(sat_conversion,[],[f159]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s2,s10]) ).
cnf(s33,plain,
~ spl0_9,
inference(rat,[],[s23,s32]) ).
cnf(s34,plain,
spl0_1,
inference(rat,[],[s3,s14,s29,s11,s24,s1,s20,s33,s10]) ).
cnf(s35,plain,
~ spl0_12,
inference(rat,[],[s31,s34]) ).
cnf(s36,plain,
spl0_2,
inference(rat,[],[s5,s34]) ).
cnf(s37,plain,
~ spl0_8,
inference(rat,[],[s24,s10,s35]) ).
cnf(s38,plain,
~ spl0_6,
inference(rat,[],[s22,s33,s36]) ).
cnf(s39,plain,
spl0_5,
inference(rat,[],[s19,s10,s37]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s7,s38,s39]) ).
fof(f160,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 SAT
% 0.11/0.38 % Computer : n001.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 22:34:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (4031952)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (4031960)dis+10_1_sil=32000:sp=arity:random_seed=2913639216:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (4031960) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4031952-4031960"...
% 0.11/0.46 % (4031960)...printing done.
% 0.11/0.46 % (4031958)% WARNING: option uhcvi not known.
% 0.11/0.46 % (4031960)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (4031960)------------------------------
% 0.11/0.46 % (4031960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (4031960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (4031960)CaDiCaL version: 2.1.3
% 0.11/0.46 % (4031960)Termination reason: Refutation
% 0.11/0.46 % (4031960)Time elapsed: 0.002 s
% 0.11/0.46 % (4031960)Peak memory usage: 12 MB
% 0.11/0.46 % (4031960)Instructions burned: 3 (million)
% 0.11/0.46 % (4031952)Success in time 0.039 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------