%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 109 ( 15 unt; 10 def)
% Number of atoms : 234 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 252 ( 127 ~; 115 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',not_from_mars_and_venus) ).
fof(f3,axiom,
! [X0] :
( female(X0)
| male(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
fof(f12,axiom,
! [X0] :
( truthteller(X0)
| ~ female(X0)
| ~ from_venus(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_female_are_truthtellers) ).
fof(f15,axiom,
! [X0] :
( liar(X0)
| ~ female(X0)
| ~ from_mars(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
fof(f18,axiom,
says(a,a_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
fof(f19,axiom,
says(b,a_has_lied),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_lies) ).
fof(f20,axiom,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars1) ).
fof(f21,axiom,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars2) ).
fof(f22,axiom,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars3) ).
fof(f25,axiom,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_states) ).
fof(f26,plain,
a_has_lied = statement_by(b),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_of_bs_statement) ).
fof(f29,axiom,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_sex2) ).
fof(f30,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_mars) ).
fof(f31,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_venus) ).
fof(f33,definition,
( spl0_1
<=> from_venus(b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,plain,
( from_venus(b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl0_2
<=> from_venus(a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f39,plain,
( from_venus(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f31,f37,f33]) ).
fof(f42,definition,
( spl0_3
<=> from_mars(a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f44,plain,
( from_mars(a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl0_4
<=> from_mars(b) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f48,plain,
( from_mars(b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f46,f42]) ).
fof(f51,definition,
( spl0_5
<=> female(b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f53,plain,
( female(b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_6
<=> male(a) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f57,plain,
( ~ male(a)
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f29,f55,f51]) ).
fof(f64,definition,
( spl0_8
<=> female(a) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f65,plain,
( female(a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( ~ female(a)
| spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f69,definition,
( spl0_9
<=> a_truth(statement_by(b)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f71,plain,
( a_truth(statement_by(b))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl0_10
<=> a_truth(a_from_mars) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f74,plain,
( ~ a_truth(a_from_mars)
| spl0_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( a_truth(a_from_mars)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f27,f73,f69]) ).
fof(f77,plain,
( ~ a_truth(a_has_lied)
| ~ a_truth(a_from_mars) ),
inference(forward_demodulation,[],[f22,f26]) ).
fof(f78,plain,
( ~ spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f21,f42,f73]) ).
fof(f79,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f20,f42,f73]) ).
fof(f81,definition,
( spl0_11
<=> a_truth(a_has_lied) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f82,plain,
( a_truth(a_has_lied)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( ~ a_truth(a_has_lied)
| spl0_11 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f77,f81,f73]) ).
fof(f85,plain,
( a_truth(a_has_lied)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f71,f26]) ).
fof(f86,plain,
( spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f85,f69,f81]) ).
fof(f88,plain,
( ~ from_mars(a)
| ~ spl0_2 ),
inference(resolution,[],[f2,f39]) ).
fof(f90,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f88,f44]) ).
fof(f91,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f93,plain,
( male(a)
| spl0_8 ),
inference(resolution,[],[f3,f66]) ).
fof(f94,plain,
( $false
| spl0_6
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f93,f57]) ).
fof(f95,plain,
( spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f118,plain,
( ~ truthteller(a)
| a_truth(a_from_mars) ),
inference(resolution,[],[f16,f18]) ).
fof(f119,plain,
( ~ truthteller(b)
| a_truth(a_has_lied) ),
inference(resolution,[],[f16,f19]) ).
fof(f120,plain,
( ~ truthteller(a)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f118,f74]) ).
fof(f122,plain,
( ~ female(a)
| ~ from_venus(a)
| spl0_10 ),
inference(resolution,[],[f120,f12]) ).
fof(f125,plain,
( ~ liar(a)
| ~ a_truth(a_from_mars) ),
inference(resolution,[],[f17,f18]) ).
fof(f126,plain,
( ~ liar(b)
| ~ a_truth(a_has_lied) ),
inference(resolution,[],[f17,f19]) ).
fof(f127,plain,
( ~ liar(b)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f126,f82]) ).
fof(f128,plain,
( ~ female(b)
| ~ from_mars(b)
| ~ spl0_11 ),
inference(resolution,[],[f127,f15]) ).
fof(f133,plain,
( ~ from_mars(b)
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f128,f53]) ).
fof(f134,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f133,f48]) ).
fof(f135,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f136,plain,
( ~ from_venus(a)
| ~ spl0_8
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f122,f65]) ).
fof(f138,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f136,f39]) ).
fof(f139,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f143,plain,
( ~ truthteller(b)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f119,f83]) ).
fof(f144,plain,
( ~ liar(a)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f125,f75]) ).
fof(f145,plain,
( ~ from_mars(b)
| ~ spl0_1 ),
inference(resolution,[],[f35,f2]) ).
fof(f146,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f145,f48]) ).
fof(f147,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f152,plain,
( ~ female(b)
| ~ from_venus(b)
| spl0_11 ),
inference(resolution,[],[f143,f12]) ).
fof(f155,plain,
( ~ female(a)
| ~ from_mars(a)
| ~ spl0_10 ),
inference(resolution,[],[f144,f15]) ).
fof(f160,plain,
( ~ from_mars(a)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f155,f65]) ).
fof(f161,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f160,f44]) ).
fof(f162,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( ~ from_venus(b)
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f152,f53]) ).
fof(f164,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f163,f35]) ).
fof(f165,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f164]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f40]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f49]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f76]) ).
cnf(s6,plain,
( spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f78]) ).
cnf(s7,plain,
( ~ spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f84]) ).
cnf(s9,plain,
( ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f86]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f91]) ).
cnf(s12,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f95]) ).
cnf(s14,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f135]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f139]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f147]) ).
cnf(s19,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f162]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f165]) ).
cnf(s22,plain,
~ spl0_2,
inference(rat,[],[s3,s14,s12,s9,s15,s5,s2,s6,s10]) ).
cnf(s23,plain,
spl0_1,
inference(rat,[],[s1,s22]) ).
cnf(s24,plain,
~ spl0_4,
inference(rat,[],[s18,s23]) ).
cnf(s25,plain,
spl0_3,
inference(rat,[],[s2,s24]) ).
cnf(s26,plain,
spl0_10,
inference(rat,[],[s7,s25]) ).
cnf(s27,plain,
~ spl0_11,
inference(rat,[],[s8,s26]) ).
cnf(s28,plain,
~ spl0_8,
inference(rat,[],[s19,s25,s26]) ).
cnf(s30,plain,
~ spl0_5,
inference(rat,[],[s21,s23,s27]) ).
cnf(s31,plain,
spl0_6,
inference(rat,[],[s12,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s3,s31,s30]) ).
fof(f166,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:29:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (3828818)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3828823)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=292321984_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % TRYING [5]
% 0.11/0.45 % TRYING [6]
% 0.11/0.45 % TRYING [7]
% 0.11/0.45 % TRYING [8]
% 0.11/0.45 % TRYING [9]
% 0.11/0.45 % TRYING [10]
% 0.11/0.45 % TRYING [11]
% 0.11/0.45 % TRYING [12]
% 0.11/0.45 % TRYING [13]
% 0.11/0.45 % (3828824)% WARNING: option uhcvi not known.
% 0.11/0.45 % TRYING [14]
% 0.11/0.45 % TRYING [15]
% 0.11/0.45 % (3828829)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4059391428:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3828825)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3628079194:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3828826)dis+10_1_sil=32000:sp=arity:random_seed=3086921153:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3828827)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1260933349:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3828828)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=190568543:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % TRYING [16]
% 0.11/0.45 % TRYING [17]
% 0.11/0.45 % (3828824)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3828336753:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % TRYING [18]
% 0.11/0.45 % (3828827) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3828818-3828827"...
% 0.11/0.45 % (3828829) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3828818-3828829"...
% 0.11/0.45 % (3828828) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3828818-3828828"...
% 0.11/0.45 % (3828826) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3828818-3828826"...
% 0.11/0.45 % TRYING [19]
% 0.11/0.45 % TRYING [20]
% 0.11/0.45 % (3828827)...printing done.
% 0.11/0.45 % (3828829)...printing done.
% 0.11/0.45 % (3828828)...printing done.
% 0.11/0.45 % (3828826)...printing done.
% 0.11/0.45 % (3828824) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3828818-3828824"...
% 0.11/0.45 % (3828827)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3828827)------------------------------
% 0.11/0.45 % (3828827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3828827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3828827)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3828827)Termination reason: Refutation
% 0.11/0.45 % (3828827)Time elapsed: 0.004 s
% 0.11/0.45 % (3828827)Peak memory usage: 12 MB
% 0.11/0.45 % (3828827)Instructions burned: 4 (million)
% 0.11/0.45 % (3828818)Success in time 0.041 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------