%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ026-1 : 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 : n019.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 0.53s 6.29s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 11 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 154 ( 79 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% 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(f5,axiom,
! [X0,X1] :
( a_truth(X1)
| ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',truthtellers_tell_truth) ).
fof(f7,axiom,
! [X0,X1] :
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',truthtellers_and_normal_tell_truth) ).
fof(f8,axiom,
! [X0,X1] :
( a_truth(normal(X1))
| a_truth(liar(X1))
| ~ a_truth(says(X1,X0))
| a_truth(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',liars_and_normal_lie) ).
fof(f10,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(not_normal(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_or_not_normal) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X0))
| ~ people(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_truthtellers1) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ a_truth(liar(X1))
| ~ a_truth(liar(X0))
| ~ people(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_liars1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ a_truth(normal(X1))
| ~ a_truth(normal(X0))
| ~ people(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal1) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ a_truth(normal(X2))
| ~ a_truth(normal(X0))
| ~ people(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal2) ).
fof(f17,axiom,
people(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_b_c_are_people) ).
fof(f18,axiom,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_are_people) ).
fof(f20,axiom,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_a_normal) ).
fof(f21,axiom,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_normal) ).
fof(f22,axiom,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_says_c_not_normal) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ a_truth(truthteller(X2))
| ~ a_truth(normal(X1))
| ~ a_truth(liar(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_of_each) ).
tcf(c_72,plain,
! [X0: $i] :
( a_truth(liar(X0))
| a_truth(truthteller(X0))
| a_truth(normal(X0)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( a_truth(truthteller(X0))
| a_truth(normal(X0))
| ~ a_truth(X1)
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( a_truth(X1)
| a_truth(liar(X0))
| a_truth(normal(X0))
| ~ a_truth(says(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_81,plain,
! [X0: $i] :
( a_truth(normal(X0))
| a_truth(not_normal(X0)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X0))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(liar(X1))
| ~ a_truth(liar(X0))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(normal(X1))
| ~ a_truth(normal(X0))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(normal(X2))
| ~ a_truth(normal(X0))
| ~ people(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_88,plain,
people(a,b,c),
inference(cnf_transformation,[],[f17]) ).
tcf(c_89,plain,
people(b,c,a),
inference(cnf_transformation,[],[f18]) ).
tcf(c_91,plain,
a_truth(says(a,normal(a))),
inference(cnf_transformation,[],[f20]) ).
tcf(c_92,plain,
a_truth(says(b,normal(a))),
inference(cnf_transformation,[],[f21]) ).
tcf(c_93,plain,
a_truth(says(c,not_normal(c))),
inference(cnf_transformation,[],[f22]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ a_truth(liar(X2))
| ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_258,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a)) ),
inference(resolution,[status(thm)],[c_87,c_88]) ).
tcf(c_265,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(resolution,[status(thm)],[c_86,c_88]) ).
tcf(c_279,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(resolution,[status(thm)],[c_84,c_88]) ).
tcf(c_301,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(b)) ),
inference(resolution,[status(thm)],[c_86,c_89]) ).
tcf(c_317,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[c_82,c_89]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ a_truth(truthteller(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_94]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ a_truth(liar(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_94]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ a_truth(normal(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_94]) ).
tcf(c_351,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_94]) ).
tcf(c_352,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_351]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ a_truth(normal(X0)) ),
inference(demodulation,[status(thm)],[c_350]) ).
tcf(c_354,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ a_truth(liar(X0)) ),
inference(demodulation,[status(thm)],[c_349]) ).
tcf(c_355,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ a_truth(truthteller(X0)) ),
inference(demodulation,[status(thm)],[c_348]) ).
tcf(c_357,plain,
( ~ iPr_def_11
| ~ a_truth(liar(a)) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_358,plain,
( ~ iPr_def_12
| ~ a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_359,plain,
( a_truth(normal(c))
| a_truth(not_normal(c)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_362,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_431,plain,
( a_truth(normal(a))
| ~ a_truth(truthteller(b))
| ~ a_truth(says(b,normal(a))) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_433,plain,
( a_truth(liar(a))
| a_truth(normal(a))
| ~ a_truth(says(a,normal(a))) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_440,plain,
( ~ iPr_def_12
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i] :
( a_truth(truthteller(X0))
| a_truth(normal(X0))
| ~ a_truth(not_normal(X1))
| ~ a_truth(says(X0,not_normal(X1))) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_495,plain,
( ~ iPr_def_10
| ~ a_truth(truthteller(c)) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_510,plain,
( a_truth(truthteller(c))
| a_truth(normal(c))
| ~ a_truth(not_normal(c))
| ~ a_truth(says(c,not_normal(c))) ),
inference(instantiation,[status(thm)],[c_479]) ).
tcf(c_517,plain,
( ~ iPr_def_11
| ~ a_truth(liar(b)) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_518,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_517,c_510,c_495,c_440,c_433,c_431,c_362,c_359,c_358,c_357,c_352,c_317,c_301,c_279,c_265,c_258,c_91,c_92,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n019.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 06:42:13 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.44
% 0.14/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 0.53/6.29 % SZS status Started for theBenchmark.p
% 0.53/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.53/6.29
% 0.53/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.53/6.29
% 0.53/6.29 % ------ iProver source info
% 0.53/6.29
% 0.53/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.53/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.53/6.29 % git: non_committed_changes: false
% 0.53/6.29
% 0.53/6.29 % ------ Parsing...% successful
% 0.53/6.29
% 0.53/6.29
% 0.53/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.53/6.29
% 0.53/6.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e %
% 0.53/6.29
% 0.53/6.29 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.53/6.29 % ------ Proving...
% 0.53/6.29 % ------ Problem Properties
% 0.53/6.29
% 0.53/6.29 %
% 0.53/6.29 % clauses 26
% 0.53/6.29 % conjectures 4
% 0.53/6.29 % EPR 1
% 0.53/6.29 % Horn 21
% 0.53/6.29 % unary 3
% 0.53/6.29 % binary 17
% 0.53/6.29 % lits 57
% 0.53/6.29 % lits eq 0
% 0.53/6.29 % fd_pure 0
% 0.53/6.29 % fd_pseudo 0
% 0.53/6.29 % fd_cond 0
% 0.53/6.29 % fd_pseudo_cond 0
% 0.53/6.29 % AC symbols 0
% 0.53/6.29
% 0.53/6.29 % ------ Schedule dynamic 5 is on
% 0.53/6.29
% 0.53/6.29 % ------ no equalities: superposition off
% 0.53/6.29
% 0.53/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.53/6.29
% 0.53/6.29
% 0.53/6.29 % ------
% 0.53/6.29 % Current options:
% 0.53/6.29 % ------
% 0.53/6.29
% 0.53/6.29
% 0.53/6.29 %
% 0.53/6.29
% 0.53/6.29 % ------ Proving...
% 0.53/6.29 %
% 0.53/6.29
% 0.53/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.53/6.29
% 0.53/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.53/6.29
% 0.53/6.29
%------------------------------------------------------------------------------