%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ032-1 : 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 : n017.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 02:32:46 PM UTC 2026
% Result : Unsatisfiable 1.61s 1.29s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 1 def)
% Number of atoms : 39 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
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(f6,axiom,
! [X0,X1] :
( a_truth(liar(X1))
| ~ a_truth(says(X1,X0))
| a_truth(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',liars_are_told_by_liars) ).
fof(f8,axiom,
a_truth(says(b,says(a,liar(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_says_hes_a_liar) ).
fof(f9,axiom,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_b_is_a_liar) ).
fof(f10,negated_conjecture,
~ a_truth(truthteller(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_a_truthteller) ).
tcf(c_59,plain,
! [X0: $i] :
( a_truth(truthteller(X0))
| a_truth(liar(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| a_truth(liar(X0))
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,plain,
a_truth(says(b,says(a,liar(a)))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
a_truth(says(c,liar(b))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
~ a_truth(truthteller(c)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_167,definition,
iPr_def_10 = truthteller(c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_168,negated_conjecture,
~ a_truth(iPr_def_10),
inference(demodulation,[status(thm)],[c_68,c_167]) ).
tcf(c_372,plain,
( a_truth(iPr_def_10)
| a_truth(liar(c)) ),
inference(superposition,[status(thm)],[c_167,c_59]) ).
tcf(c_373,plain,
a_truth(liar(c)),
inference(forward_subsumption_resolution,[status(thm)],[c_372,c_168]) ).
tcf(c_388,plain,
( ~ a_truth(liar(c))
| ~ a_truth(liar(b)) ),
inference(superposition,[status(thm)],[c_67,c_62]) ).
tcf(c_391,plain,
~ a_truth(liar(b)),
inference(forward_subsumption_resolution,[status(thm)],[c_388,c_373]) ).
tcf(c_399,plain,
( a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_414,plain,
a_truth(says(a,liar(a))),
inference(global_subsumption_just,[status(thm)],[c_399,c_391,c_399]) ).
tcf(c_416,plain,
a_truth(liar(a)),
inference(superposition,[status(thm)],[c_414,c_64]) ).
tcf(c_417,plain,
~ a_truth(liar(a)),
inference(superposition,[status(thm)],[c_414,c_62]) ).
tcf(c_418,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_417,c_416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.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 06:38:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.61/1.29 % SZS status Started for theBenchmark.p
% 1.61/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.29
% 1.61/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.61/1.29
% 1.61/1.29 % ------ iProver source info
% 1.61/1.29
% 1.61/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.61/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.61/1.29 % git: non_committed_changes: false
% 1.61/1.29
% 1.61/1.29 % ------ Parsing...% successful
% 1.61/1.29
% 1.61/1.29
% 1.61/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.61/1.29
% 1.61/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.61/1.29
% 1.61/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.61/1.29
% 1.61/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.61/1.29 % ------ Proving...
% 1.61/1.29 % ------ Problem Properties
% 1.61/1.29
% 1.61/1.29 %
% 1.61/1.29 % clauses 9
% 1.61/1.29 % conjectures 1
% 1.61/1.29 % EPR 1
% 1.61/1.29 % Horn 7
% 1.61/1.29 % unary 5
% 1.61/1.29 % binary 2
% 1.61/1.29 % lits 15
% 1.61/1.29 % lits eq 1
% 1.61/1.29 % fd_pure 0
% 1.61/1.29 % fd_pseudo 0
% 1.61/1.29 % fd_cond 0
% 1.61/1.29 % fd_pseudo_cond 0
% 1.61/1.29 % AC symbols 0
% 1.61/1.29
% 1.61/1.29 % ------ Schedule dynamic 5 is on
% 1.61/1.29
% 1.61/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.61/1.29
% 1.61/1.29
% 1.61/1.29 % ------
% 1.61/1.29 % Current options:
% 1.61/1.29 % ------
% 1.61/1.29
% 1.61/1.29
% 1.61/1.29 %
% 1.61/1.29
% 1.61/1.29 % ------ Proving...
% 1.61/1.29 %
% 1.61/1.29
% 1.61/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.29
% 1.61/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.61/1.29
% 1.61/1.29
%------------------------------------------------------------------------------