%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ027-1 : 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 : n009.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 1.67s 1.27s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 12 unt; 3 def)
% Number of atoms : 109 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 117 ( 62 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).
fof(f23,axiom,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_truthteller) ).
fof(f24,axiom,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_normal) ).
fof(f25,axiom,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
fof(f26,axiom,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
fof(f27,axiom,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_normal) ).
fof(f28,axiom,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_liar) ).
fof(f29,axiom,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
fof(f30,axiom,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_normal) ).
fof(f31,axiom,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_liar) ).
fof(f32,negated_conjecture,
! [X0] : ~ answer(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
tcf(c_81,plain,
! [X0: $i] :
( a_truth(truthteller(X0))
| a_truth(normal(X0))
| a_truth(liar(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_103,plain,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_104,plain,
( answer(a_truthteller_b_normal)
| ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,plain,
( answer(a_truthteller_b_liar)
| ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_106,plain,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_107,plain,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_108,plain,
( answer(a_normal_b_liar)
| ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,plain,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_110,plain,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,plain,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_112,negated_conjecture,
! [X0: $i] : ~ answer(X0),
inference(cnf_transformation,[],[f32]) ).
tcf(c_120,plain,
( a_truth(truthteller(a))
| a_truth(normal(a))
| a_truth(liar(a)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_205,plain,
( ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_112]) ).
tcf(c_206,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_108,c_112]) ).
tcf(c_207,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_106,c_112]) ).
tcf(c_208,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_107,c_112]) ).
tcf(c_209,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_104,c_112]) ).
tcf(c_210,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_105,c_112]) ).
tcf(c_211,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_109,c_112]) ).
tcf(c_212,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_111,c_112]) ).
tcf(c_213,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_103,c_112]) ).
tcf(c_214,plain,
~ a_truth(truthteller(b)),
inference(global_subsumption_just,[status(thm)],[c_207,c_120,c_213,c_211,c_207]) ).
tcf(c_216,plain,
~ a_truth(liar(b)),
inference(global_subsumption_just,[status(thm)],[c_206,c_120,c_212,c_210,c_206]) ).
tcf(c_218,plain,
~ a_truth(normal(b)),
inference(global_subsumption_just,[status(thm)],[c_205,c_120,c_209,c_208,c_205]) ).
tcf(c_508,definition,
iPr_def_10 = normal(b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_509,definition,
iPr_def_11 = liar(b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_510,definition,
iPr_def_12 = truthteller(b),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_511,plain,
~ a_truth(iPr_def_10),
inference(demodulation,[status(thm)],[c_218,c_508]) ).
tcf(c_512,plain,
~ a_truth(iPr_def_11),
inference(demodulation,[status(thm)],[c_216,c_509]) ).
tcf(c_513,plain,
~ a_truth(iPr_def_12),
inference(demodulation,[status(thm)],[c_214,c_510]) ).
tcf(c_1030,plain,
( a_truth(iPr_def_12)
| a_truth(normal(b))
| a_truth(liar(b)) ),
inference(superposition,[status(thm)],[c_510,c_81]) ).
tcf(c_1031,plain,
( a_truth(iPr_def_12)
| a_truth(iPr_def_11)
| a_truth(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_1030,c_508,c_509]) ).
tcf(c_1032,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1031,c_513,c_512,c_511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:41:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.67/1.27 % SZS status Started for theBenchmark.p
% 1.67/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.27
% 1.67/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.67/1.27
% 1.67/1.27 % ------ iProver source info
% 1.67/1.27
% 1.67/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.67/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.67/1.27 % git: non_committed_changes: false
% 1.67/1.27
% 1.67/1.27 % ------ Parsing...% successful
% 1.67/1.27
% 1.67/1.27
% 1.67/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.67/1.27
% 1.67/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.67/1.27
% 1.67/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.67/1.27
% 1.67/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.67/1.27 % ------ Proving...
% 1.67/1.27 % ------ Problem Properties
% 1.67/1.27
% 1.67/1.27 %
% 1.67/1.27 % clauses 28
% 1.67/1.27 % conjectures 0
% 1.67/1.27 % EPR 3
% 1.67/1.27 % Horn 19
% 1.67/1.27 % unary 9
% 1.67/1.27 % binary 7
% 1.67/1.27 % lits 62
% 1.67/1.27 % lits eq 3
% 1.67/1.27 % fd_pure 0
% 1.67/1.27 % fd_pseudo 0
% 1.67/1.27 % fd_cond 0
% 1.67/1.27 % fd_pseudo_cond 0
% 1.67/1.27 % AC symbols 0
% 1.67/1.27
% 1.67/1.27 % ------ Schedule dynamic 5 is on
% 1.67/1.27
% 1.67/1.27 % ------ no conjectures: strip conj schedule
% 1.67/1.27
% 1.67/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.67/1.27
% 1.67/1.27
% 1.67/1.27 % ------
% 1.67/1.27 % Current options:
% 1.67/1.27 % ------
% 1.67/1.27
% 1.67/1.27
% 1.67/1.27 %
% 1.67/1.27
% 1.67/1.27 % ------ Proving...
% 1.67/1.27 %
% 1.67/1.27
% 1.67/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.67/1.27
% 1.67/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.67/1.27
% 1.67/1.27
%------------------------------------------------------------------------------