%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 1.57s 6.29s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ~ a_truth(X1)
| ~ a_truth(says(X0,X1))
| ~ a_truth(liar(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',liars_lie) ).
fof(f5,axiom,
! [X0,X1] :
( a_truth(truthteller(X1))
| ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truths_are_told_by_truthtellers) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X0))
| ~ people(X0,X1,X2)
| ~ a_truth(says(X0,one_truthteller)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_says_one_truthteller) ).
fof(f14,axiom,
! [X2,X0,X1] :
( a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2)
| a_truth(all_are_liars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_truthtellers) ).
fof(f15,axiom,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_people) ).
fof(f18,axiom,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_all_are_liars) ).
fof(f20,negated_conjecture,
! [X0] : ~ a_truth(truthteller(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( a_truth(truthteller(X0))
| ~ a_truth(X1)
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X0))
| ~ a_truth(says(X0,one_truthteller))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_truth(all_are_liars)
| a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_83,plain,
people(b,c,a),
inference(cnf_transformation,[],[f15]) ).
tcf(c_86,plain,
a_truth(says(a,all_are_liars)),
inference(cnf_transformation,[],[f18]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] : ~ a_truth(truthteller(X0)),
inference(cnf_transformation,[],[f20]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ~ a_truth(X1)
| ~ a_truth(says(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_88,c_73]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_truth(all_are_liars)
| a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| ~ people(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_88,c_82]) ).
tcf(c_124,plain,
! [X0: $i] : ~ a_truth(truthteller(X0)),
inference(global_subsumption_just,[status(thm)],[c_75,c_88]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_truth(all_are_liars)
| a_truth(truthteller(X2))
| ~ people(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_124]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_truth(all_are_liars)
| ~ people(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_140,c_124]) ).
tcf(c_168,plain,
a_truth(all_are_liars),
inference(resolution,[status(thm)],[c_149,c_83]) ).
tcf(c_189,plain,
! [X0: $i] :
( ~ a_truth(all_are_liars)
| ~ a_truth(says(X0,all_are_liars)) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_195,plain,
( ~ a_truth(all_are_liars)
| ~ a_truth(says(a,all_are_liars)) ),
inference(instantiation,[status(thm)],[c_189]) ).
tcf(c_196,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_195,c_168,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 06:43:45 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 1.57/6.29 % SZS status Started for theBenchmark.p
% 1.57/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.57/6.29
% 1.57/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.57/6.29
% 1.57/6.29 % ------ iProver source info
% 1.57/6.29
% 1.57/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.57/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.57/6.29 % git: non_committed_changes: false
% 1.57/6.29
% 1.57/6.29 % ------ Parsing...% successful
% 1.57/6.29
% 1.57/6.29
% 1.57/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.57/6.29
% 1.57/6.29 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.57/6.29
% 1.57/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.57/6.29 % ------ Proving...
% 1.57/6.29 % ------ Problem Properties
% 1.57/6.29
% 1.57/6.29 %
% 1.57/6.29 % clauses 5
% 1.57/6.29 % conjectures 0
% 1.57/6.29 % EPR 1
% 1.57/6.29 % Horn 5
% 1.57/6.29 % unary 4
% 1.57/6.29 % binary 1
% 1.57/6.29 % lits 6
% 1.57/6.29 % lits eq 0
% 1.57/6.29 % fd_pure 0
% 1.57/6.29 % fd_pseudo 0
% 1.57/6.29 % fd_cond 0
% 1.57/6.29 % fd_pseudo_cond 0
% 1.57/6.29 % AC symbols 0
% 1.57/6.29
% 1.57/6.29 % ------ Schedule dynamic 5 is on
% 1.57/6.29
% 1.57/6.29 % ------ no conjectures: strip conj schedule
% 1.57/6.29
% 1.57/6.29 % ------ no equalities: superposition off
% 1.57/6.29
% 1.57/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.57/6.29
% 1.57/6.29
% 1.57/6.29 % ------
% 1.57/6.29 % Current options:
% 1.57/6.29 % ------
% 1.57/6.29
% 1.57/6.29
% 1.57/6.29 %
% 1.57/6.29
% 1.57/6.29 % ------ Proving...
% 1.57/6.29 %
% 1.57/6.29
% 1.57/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.57/6.29
% 1.57/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.57/6.29
% 1.57/6.29
%------------------------------------------------------------------------------