%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ012_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 02:32:41 PM UTC 2026
% Result : Theorem 0.92s 1.49s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 94 ( 45 ~; 42 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 70 ( 70 fml; 0 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
boxa: box ).
tff(pred_def_1,type,
equal_fruits: ( fruit * fruit ) > $o ).
tff(pred_def_2,type,
equal_boxes: ( box * box ) > $o ).
tff(pred_def_3,type,
contains: ( fruit * box ) > $o ).
tff(pred_def_4,type,
label: ( fruit * box ) > $o ).
tff(func_def_5,type,
oranges: fruit ).
tff(type_def_6,type,
fruit: $tType ).
tff(f3,axiom,
! [X0: box,X1: fruit] :
~ ( contains(X0,X1)
& label(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).
tff(f4,axiom,
! [X0: fruit] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
tff(f5,axiom,
! [X0: box] :
( contains(X0,oranges)
| contains(X0,bananas)
| contains(X0,apples) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_box_contains_something) ).
tff(f6,axiom,
! [X0: box,X1: fruit,X2: fruit] :
( ( contains(X0,X2)
& contains(X0,X1) )
=> equal_fruits(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).
tff(f7,axiom,
! [X0: box,X1: fruit,X2: box] :
( ( contains(X2,X1)
& contains(X0,X1) )
=> equal_boxes(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined2) ).
tff(f9,axiom,
~ equal_boxes(boxb,boxc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_not_boxc) ).
tff(f11,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).
tff(f16,axiom,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
tff(f17,axiom,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).
tff(f18,conjecture,
( contains(boxc,oranges)
& contains(boxa,bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
tff(f19,negated_conjecture,
~ ( contains(boxc,oranges)
& contains(boxa,bananas) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
tff(f20,plain,
! [X0: box,X1: fruit] :
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f21,plain,
! [X0: box,X1: fruit,X2: fruit] :
( ~ contains(X0,X2)
| ~ contains(X0,X1)
| equal_fruits(X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
tff(f22,plain,
! [X0: box,X1: fruit,X2: fruit] :
( ~ contains(X0,X2)
| ~ contains(X0,X1)
| equal_fruits(X1,X2) ),
inference(flattening,[],[f21]) ).
tff(f23,plain,
! [X0: box,X1: fruit,X2: box] :
( ~ contains(X2,X1)
| ~ contains(X0,X1)
| equal_boxes(X0,X2) ),
inference(ennf_transformation,[],[f7]) ).
tff(f24,plain,
! [X0: box,X1: fruit,X2: box] :
( ~ contains(X2,X1)
| ~ contains(X0,X1)
| equal_boxes(X0,X2) ),
inference(flattening,[],[f23]) ).
tff(f25,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(ennf_transformation,[],[f19]) ).
tff(f28,plain,
! [X0: box,X1: fruit] :
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f29,plain,
! [X0: fruit] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(cnf_transformation,[],[f4]) ).
tff(f30,plain,
! [X0: box] :
( contains(X0,oranges)
| contains(X0,bananas)
| contains(X0,apples) ),
inference(cnf_transformation,[],[f5]) ).
tff(f31,plain,
! [X2: fruit,X0: box,X1: fruit] :
( ~ contains(X0,X2)
| ~ contains(X0,X1)
| equal_fruits(X1,X2) ),
inference(cnf_transformation,[],[f22]) ).
tff(f32,plain,
! [X2: box,X0: box,X1: fruit] :
( ~ contains(X2,X1)
| ~ contains(X0,X1)
| equal_boxes(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
tff(f34,plain,
~ equal_boxes(boxb,boxc),
inference(cnf_transformation,[],[f9]) ).
tff(f36,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[],[f11]) ).
tff(f41,plain,
label(boxc,bananas),
inference(cnf_transformation,[],[f16]) ).
tff(f42,plain,
contains(boxb,apples),
inference(cnf_transformation,[],[f17]) ).
tff(f43,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_51,plain,
! [X0_box: box,X0_fruit: fruit] :
( ~ label(X0_box,X0_fruit)
| ~ contains(X0_box,X0_fruit) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_52,plain,
! [X0_fruit: fruit] :
( contains(boxc,X0_fruit)
| contains(boxb,X0_fruit)
| contains(boxa,X0_fruit) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_53,plain,
! [X0_box: box] :
( contains(X0_box,oranges)
| contains(X0_box,bananas)
| contains(X0_box,apples) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_54,plain,
! [X0_box: box,X0_fruit: fruit,X1_fruit: fruit] :
( equal_fruits(X1_fruit,X0_fruit)
| ~ contains(X0_box,X1_fruit)
| ~ contains(X0_box,X0_fruit) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_55,plain,
! [X0_box: box,X0_fruit: fruit,X1_box: box] :
( equal_boxes(X1_box,X0_box)
| ~ contains(X1_box,X0_fruit)
| ~ contains(X0_box,X0_fruit) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_57,plain,
~ equal_boxes(boxb,boxc),
inference(cnf_transformation,[],[f34]) ).
tcf(c_59,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[],[f36]) ).
tcf(c_64,plain,
label(boxc,bananas),
inference(cnf_transformation,[],[f41]) ).
tcf(c_65,plain,
contains(boxb,apples),
inference(cnf_transformation,[],[f42]) ).
tcf(c_66,negated_conjecture,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_135,plain,
~ contains(boxc,bananas),
inference(resolution,[status(thm)],[c_51,c_64]) ).
tcf(c_142,plain,
! [X0_box: box] :
( ~ contains(X0_box,bananas)
| ~ contains(X0_box,apples) ),
inference(resolution,[status(thm)],[c_54,c_59]) ).
tcf(c_177,plain,
! [X0_fruit: fruit] :
( ~ contains(boxc,X0_fruit)
| ~ contains(boxb,X0_fruit) ),
inference(resolution,[status(thm)],[c_55,c_57]) ).
tcf(c_178,plain,
( ~ contains(boxc,apples)
| ~ contains(boxb,apples) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_247,plain,
( ~ contains(boxb,bananas)
| ~ contains(boxb,apples) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_258,plain,
( contains(boxc,oranges)
| contains(boxc,bananas)
| contains(boxc,apples) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_259,plain,
( contains(boxc,bananas)
| contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_260,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_259,c_258,c_247,c_178,c_135,c_66,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ012_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.58 % Computer : n015.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 06:40:56 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 0.92/1.49 % SZS status Started for theBenchmark.p
% 0.92/1.49 % SZS status Theorem for theBenchmark.p
% 0.92/1.49
% 0.92/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.92/1.49
% 0.92/1.49 % ------ iProver source info
% 0.92/1.49
% 0.92/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 0.92/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.92/1.49 % git: non_committed_changes: false
% 0.92/1.49
% 0.92/1.49 % ------ Parsing...
% 0.92/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.92/1.49 %
% 0.92/1.49
% 0.92/1.49 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e pe_s pe_e %
% 0.92/1.49
% 0.92/1.49 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.92/1.49 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.92/1.49 % ------ Proving...
% 0.92/1.49 % ------ Problem Properties
% 0.92/1.49
% 0.92/1.49 %
% 0.92/1.49 % clauses 13
% 0.92/1.49 % conjectures 1
% 0.92/1.49 % EPR 13
% 0.92/1.49 % Horn 11
% 0.92/1.49 % unary 4
% 0.92/1.49 % binary 7
% 0.92/1.49 % lits 24
% 0.92/1.49 % lits eq 0
% 0.92/1.49 % fd_pure 0
% 0.92/1.49 % fd_pseudo 0
% 0.92/1.49 % fd_cond 0
% 0.92/1.49 % fd_pseudo_cond 0
% 0.92/1.49 % AC symbols 0
% 0.92/1.49
% 0.92/1.49 % ------ Schedule EPR non Horn non eq is on
% 0.92/1.49
% 0.92/1.49 % ------ no equalities: superposition off
% 0.92/1.49
% 0.92/1.49 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.92/1.49
% 0.92/1.49
% 0.92/1.49 % ------
% 0.92/1.49 % Current options:
% 0.92/1.49 % ------
% 0.92/1.49
% 0.92/1.49
% 0.92/1.49 %
% 0.92/1.49
% 0.92/1.49 % ------ Proving...
% 0.92/1.49 %
% 0.92/1.49
% 0.92/1.49 % SZS status Theorem for theBenchmark.p
% 0.92/1.49
% 0.92/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.92/1.49
% 0.92/1.49
%------------------------------------------------------------------------------