%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 : Fri Sep 25 02:32:39 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.18s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 57 ( 14 unt; 0 def)
% Number of atoms : 120 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 53 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 28 :)
% 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(f5,axiom,
! [X0] :
( liar(X0)
| truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthteller_or_liar) ).
fof(f13,axiom,
! [X0] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
fof(f16,axiom,
! [X0,X1] :
( a_truth(X1)
| ~ says(X0,X1)
| ~ truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
fof(f17,axiom,
! [X0,X1] :
( ~ a_truth(X1)
| ~ says(X0,X1)
| ~ liar(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ001-0.ax',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,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus1) ).
fof(f27,axiom,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars2) ).
fof(f28,axiom,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male2) ).
fof(f29,axiom,
( a_truth(ork_is_female)
| ~ female(ork) ),
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) ).
tcf(c_78,plain,
! [X0: $i] :
( from_mars(X0)
| from_venus(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_80,plain,
! [X0: $i] :
( female(X0)
| male(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,plain,
! [X0: $i] :
( liar(X0)
| truthteller(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_88,plain,
! [X0: $i] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| ~ truthteller(X0)
| ~ says(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ~ liar(X0)
| ~ a_truth(X1)
| ~ says(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,plain,
says(ork,bog_is_from_venus),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,plain,
says(bog,ork_is_from_mars),
inference(cnf_transformation,[],[f19]) ).
tcf(c_95,plain,
says(ork,bog_is_male),
inference(cnf_transformation,[],[f20]) ).
tcf(c_96,plain,
says(bog,ork_is_female),
inference(cnf_transformation,[],[f21]) ).
tcf(c_97,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_102,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_103,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_105,negated_conjecture,
~ female(bog),
inference(cnf_transformation,[],[f30]) ).
tcf(c_107,plain,
( female(bog)
| male(bog) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_114,plain,
( liar(bog)
| ~ male(bog)
| ~ from_venus(bog) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_128,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
tcf(c_136,plain,
! [X0: $i] :
( from_venus(X0)
| from_mars(X0) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
tcf(c_137,plain,
! [X0: $i] :
( from_mars(X0)
| from_venus(X0) ),
inference(renaming,[status(thm)],[c_136]) ).
tcf(c_140,plain,
! [X0: $i] :
( male(X0)
| female(X0) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
tcf(c_141,plain,
! [X0: $i] :
( female(X0)
| male(X0) ),
inference(renaming,[status(thm)],[c_140]) ).
tcf(c_144,plain,
! [X0: $i] :
( truthteller(X0)
| liar(X0) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
tcf(c_145,plain,
! [X0: $i] :
( liar(X0)
| truthteller(X0) ),
inference(renaming,[status(thm)],[c_144]) ).
tcf(c_206,plain,
! [X0: $i] :
( liar(X0)
| female(X0)
| from_mars(X0) ),
inference(bin_hyper_res,[status(thm)],[c_88,c_141,c_137]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( liar(X0)
| a_truth(X1)
| ~ says(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_91,c_145]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] :
( liar(X0)
| a_truth(X1)
| ( X1 != bog_is_from_venus )
| ( X0 != ork ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_208]) ).
tcf(c_456,plain,
( liar(ork)
| a_truth(bog_is_from_venus) ),
inference(unflattening,[status(thm)],[c_455]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i] :
( ~ liar(X0)
| ~ a_truth(X1)
| ( X1 != ork_is_from_mars )
| ( X0 != bog ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_92]) ).
tcf(c_485,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_from_mars) ),
inference(unflattening,[status(thm)],[c_484]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] :
( ~ liar(X0)
| ~ a_truth(X1)
| ( X1 != bog_is_male )
| ( X0 != ork ) ),
inference(resolution_lifted,[status(thm)],[c_95,c_92]) ).
tcf(c_500,plain,
( ~ liar(ork)
| ~ a_truth(bog_is_male) ),
inference(unflattening,[status(thm)],[c_499]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i] :
( liar(X0)
| a_truth(X1)
| ( X1 != ork_is_female )
| ( X0 != bog ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_208]) ).
tcf(c_513,plain,
( liar(bog)
| a_truth(ork_is_female) ),
inference(unflattening,[status(thm)],[c_512]) ).
tcf(c_514,plain,
liar(bog),
inference(global_subsumption_just,[status(thm)],[c_513,c_105,c_107,c_103,c_97,c_114,c_456,c_500]) ).
tcf(c_519,plain,
~ a_truth(ork_is_from_mars),
inference(backward_subsumption_resolution,[status(thm)],[c_485,c_514]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i] :
( ~ liar(X0)
| ~ a_truth(X1)
| ( X1 != ork_is_female )
| ( X0 != bog ) ),
inference(resolution_lifted,[status(thm)],[c_96,c_92]) ).
tcf(c_521,plain,
( ~ liar(bog)
| ~ a_truth(ork_is_female) ),
inference(unflattening,[status(thm)],[c_520]) ).
tcf(c_540,plain,
~ from_mars(ork),
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_519]) ).
tcf(c_623,plain,
! [X0: $i] :
( liar(X0)
| female(X0)
| ( X0 != ork ) ),
inference(resolution_lifted,[status(thm)],[c_540,c_206]) ).
tcf(c_624,plain,
( liar(ork)
| female(ork) ),
inference(unflattening,[status(thm)],[c_623]) ).
tcf(c_625,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_624,c_521,c_500,c_456,c_114,c_97,c_103,c_104,c_107,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 06:34:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.15/1.18 % SZS status Started for theBenchmark.p
% 1.15/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.18
% 1.15/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.18
% 1.15/1.18 % ------ iProver source info
% 1.15/1.18
% 1.15/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.18 % git: non_committed_changes: false
% 1.15/1.18
% 1.15/1.18 % ------ Parsing...% successful
% 1.15/1.18
% 1.15/1.18
% 1.15/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.15/1.18
% 1.15/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.15/1.18
% 1.15/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.18
% 1.15/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.18
% 1.15/1.18
%------------------------------------------------------------------------------