%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ025-1 : 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 : n018.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 02:32:44 PM UTC 2026
% Result : Unsatisfiable 1.07s 1.25s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 36 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
fof(f14,axiom,
! [X0,X1] :
( answer(yes)
| ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_identifies_truths) ).
fof(f15,axiom,
! [X0,X1] :
( answer(no)
| a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_denies_lies) ).
fof(f16,axiom,
! [X0,X1] :
( answer(no)
| ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_denies_truths) ).
fof(f17,axiom,
! [X0,X1] :
( answer(yes)
| a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_supports_lies) ).
fof(f23,axiom,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).
fof(f24,negated_conjecture,
! [X0] : ~ answer(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
tcf(c_73,plain,
! [X0: $i] :
( a_truth(truthteller(X0))
| a_truth(liar(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( answer(yes)
| ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( answer(no)
| a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( answer(no)
| ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( answer(yes)
| a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_95,plain,
ask_1_if_2(c,equal_type(a,b)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
! [X0: $i] : ~ answer(X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_114,plain,
! [X0: $i] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
tcf(c_115,plain,
! [X0: $i] :
( a_truth(truthteller(X0))
| a_truth(liar(X0)) ),
inference(renaming,[status(thm)],[c_114]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( answer(no)
| a_truth(truthteller(X0))
| ~ a_truth(X1)
| ~ ask_1_if_2(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_88,c_115]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( answer(yes)
| a_truth(X1)
| a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_89,c_115]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_151,c_96]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_96]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( a_truth(truthteller(X0))
| ~ a_truth(X1)
| ~ ask_1_if_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_150,c_96]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_87,c_96]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( ~ a_truth(X1)
| ~ ask_1_if_2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_161,c_160]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] : ~ ask_1_if_2(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_159,c_162,c_166,c_159]) ).
tcf(c_183,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_95,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.45 % Computer : n018.cluster.edu
% 0.10/0.45 % Model : x86_64 x86_64
% 0.10/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.45 % Memory : 8046.5625MB
% 0.10/0.45 % OS : Linux 6.8.0-71-generic
% 0.10/0.45 % CPULimit : 300
% 0.10/0.45 % WCLimit : 300
% 0.10/0.45 % DateTime : Thu Sep 24 06:43:04 UTC 2026
% 0.10/0.45 % CPUTime :
% 0.10/0.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.49 Running first-order theorem proving
% 0.13/0.49 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
% 0.13/0.50
% 0.13/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.50
% 0.13/0.50 % Detected problem language: tptp
% 0.13/0.51 % Proving...
% 1.07/1.25 % SZS status Started for theBenchmark.p
% 1.07/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.07/1.25
% 1.07/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.07/1.25
% 1.07/1.25 % ------ iProver source info
% 1.07/1.25
% 1.07/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.07/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.07/1.25 % git: non_committed_changes: false
% 1.07/1.25
% 1.07/1.25 % ------ Parsing...% successful
% 1.07/1.25
% 1.07/1.25
% 1.07/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.07/1.25
% 1.07/1.25 % ------ Preprocessing...%
% 1.07/1.25
% 1.07/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 1.07/1.25
% 1.07/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.07/1.25
% 1.07/1.25
%------------------------------------------------------------------------------