TSTP Solution File: KRS192+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS192+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:52:06 EDT 2024
% Result : Theorem 5.81s 2.39s
% Output : Refutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 60
% Syntax : Number of formulae : 95 ( 8 unt; 27 typ; 0 def)
% Number of atoms : 321 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1066 ( 67 ~; 5 |; 130 &; 746 @)
% ( 28 <=>; 88 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 27 usr; 20 con; 0-3 aty)
% Number of variables : 297 ( 0 ^ 161 !; 136 ?; 297 :)
% Comments :
%------------------------------------------------------------------------------
thf(isa_type,type,
isa: $i > $i > $o ).
thf(wth_type,type,
wth: $i ).
thf(thm_type,type,
thm: $i ).
thf(model_type,type,
model: $i > $i > $o ).
thf(status_type,type,
status: $i > $i > $i > $o ).
thf(wca_type,type,
wca: $i ).
thf(sap_type,type,
sap: $i ).
thf(sca_type,type,
sca: $i ).
thf(tac_type,type,
tac: $i ).
thf(not_type,type,
not: $i > $i ).
thf(csa_type,type,
csa: $i ).
thf(wtc_type,type,
wtc: $i ).
thf(mighta_type,type,
mighta: $i > $i > $o ).
thf(xora_type,type,
xora: $i > $i > $o ).
thf(wec_type,type,
wec: $i ).
thf(nota_type,type,
nota: $i > $i > $o ).
thf(eth_type,type,
eth: $i ).
thf(uns_type,type,
uns: $i ).
thf(noc_type,type,
noc: $i ).
thf(nevera_type,type,
nevera: $i > $i > $o ).
thf(unp_type,type,
unp: $i ).
thf(tca_type,type,
tca: $i ).
thf(cax_type,type,
cax: $i ).
thf(eqv_type,type,
eqv: $i ).
thf(esa_type,type,
esa: $i ).
thf(sat_type,type,
sat: $i ).
thf(tau_type,type,
tau: $i ).
thf(32,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
<=> ( isa @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
thf(249,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
=> ( isa @ A @ B ) )
& ( ( isa @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(18,axiom,
? [A: $i,B: $i] :
( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
( ~ ( model @ C @ A )
| ~ ( model @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat_non_taut_pair) ).
thf(153,plain,
? [A: $i,B: $i] :
( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
( ~ ( model @ C @ A )
| ~ ( model @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ tca ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tca) ).
thf(185,plain,
! [A: $i,B: $i] :
( ( ( ~ ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ tca ) )
& ( ( status @ A @ B @ tca )
=> ( ~ ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) )
& ? [C: $i] :
~ ( model @ C @ B ) )
<=> ( status @ A @ B @ wth ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wth) ).
thf(261,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) )
& ? [C: $i] :
~ ( model @ C @ B ) )
=> ( status @ A @ B @ wth ) )
& ( ( status @ A @ B @ wth )
=> ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) )
& ? [C: $i] :
~ ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ( status @ C @ D @ B ) )
<=> ( mighta @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
thf(84,plain,
! [A: $i,B: $i] :
( ( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ( status @ C @ D @ B ) )
=> ( mighta @ A @ B ) )
& ( ( mighta @ A @ B )
=> ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
<=> ( status @ A @ B @ tau ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tau) ).
thf(233,plain,
! [A: $i,B: $i] :
( ( ! [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
=> ( status @ A @ B @ tau ) )
& ( ( status @ A @ B @ tau )
=> ! [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ~ ? [C: $i] : ( model @ C @ A )
<=> ( status @ A @ B @ cax ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cax) ).
thf(192,plain,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( model @ C @ A )
=> ( status @ A @ B @ cax ) )
& ( ( status @ A @ B @ cax )
=> ~ ? [C: $i] : ( model @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
<~> ( status @ C @ D @ B ) )
<=> ( xora @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xora) ).
thf(96,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
~ ( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) )
=> ( xora @ A @ B ) )
& ( ( xora @ A @ B )
=> ! [C: $i,D: $i] :
~ ( ( ( status @ C @ D @ A )
=> ( status @ C @ D @ B ) )
& ( ( status @ C @ D @ A )
| ~ ( status @ C @ D @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
=> ? [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ sap ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sap) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
=> ? [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ sap ) )
& ( ( status @ A @ B @ sap )
=> ( ? [C: $i] : ( model @ C @ A )
=> ? [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22,axiom,
? [A: $i] :
( ? [B: $i] : ( model @ B @ A )
& ? [B: $i] :
~ ( model @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfiable) ).
thf(181,plain,
? [A: $i] :
( ? [B: $i] : ( model @ B @ A )
& ? [B: $i] :
~ ( model @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
<=> ( status @ A @ B @ thm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(255,plain,
! [A: $i,B: $i] :
( ( ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
=> ( status @ A @ B @ thm ) )
& ( ( status @ A @ B @ thm )
=> ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
<=> ( model @ C @ B ) ) )
<=> ( status @ A @ B @ eth ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eth) ).
thf(127,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] :
( ( ( model @ C @ A )
=> ( model @ C @ B ) )
& ( ( model @ C @ B )
=> ( model @ C @ A ) ) ) )
=> ( status @ A @ B @ eth ) )
& ( ( status @ A @ B @ eth )
=> ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] :
( ( ( model @ C @ A )
=> ( model @ C @ B ) )
& ( ( model @ C @ B )
=> ( model @ C @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
<=> ( model @ C @ B ) ) )
<=> ( status @ A @ B @ eqv ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv) ).
thf(203,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( ( model @ C @ A )
=> ( model @ C @ B ) )
& ( ( model @ C @ B )
=> ( model @ C @ A ) ) ) )
=> ( status @ A @ B @ eqv ) )
& ( ( status @ A @ B @ eqv )
=> ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( ( model @ C @ A )
=> ( model @ C @ B ) )
& ( ( model @ C @ B )
=> ( model @ C @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) ) )
<=> ( status @ A @ B @ noc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noc) ).
thf(158,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) ) )
=> ( status @ A @ B @ noc ) )
& ( ( status @ A @ B @ noc )
=> ( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
<=> ? [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ esa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',esa) ).
thf(215,plain,
! [A: $i,B: $i] :
( ( ( ( ? [C: $i] : ( model @ C @ A )
=> ? [C: $i] : ( model @ C @ B ) )
& ( ? [C: $i] : ( model @ C @ B )
=> ? [C: $i] : ( model @ C @ A ) ) )
=> ( status @ A @ B @ esa ) )
& ( ( status @ A @ B @ esa )
=> ( ( ? [C: $i] : ( model @ C @ A )
=> ? [C: $i] : ( model @ C @ B ) )
& ( ? [C: $i] : ( model @ C @ B )
=> ? [C: $i] : ( model @ C @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) )
<=> ( nota @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) )
=> ( nota @ A @ B ) )
& ( ( nota @ A @ B )
=> ? [C: $i,D: $i] :
( ( status @ C @ D @ A )
& ~ ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(31,axiom,
? [A: $i] :
! [B: $i] : ( model @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
thf(247,plain,
? [A: $i] :
! [B: $i] : ( model @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( model @ A @ B )
<~> ( model @ A @ ( not @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',completeness) ).
thf(197,plain,
! [A: $i,B: $i] :
~ ( ( ( model @ A @ B )
=> ( model @ A @ ( not @ B ) ) )
& ( ( model @ A @ B )
| ~ ( model @ A @ ( not @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) )
<=> ( status @ A @ B @ csa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csa) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) )
=> ( status @ A @ B @ csa ) )
& ( ( status @ A @ B @ csa )
=> ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ ( not @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) )
<=> ( nevera @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) )
=> ( nevera @ A @ B ) )
& ( ( nevera @ A @ B )
=> ! [C: $i,D: $i] :
( ( status @ C @ D @ A )
=> ~ ( status @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(16,axiom,
? [A: $i,B: $i,C: $i] :
( ( model @ A @ B )
& ~ ( model @ A @ C )
& ? [D: $i] : ( model @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_thm_spt) ).
thf(141,plain,
? [A: $i,B: $i,C: $i] :
( ( model @ A @ B )
& ~ ( model @ A @ C )
& ? [D: $i] : ( model @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( model @ A @ B )
<=> ~ ( model @ A @ ( not @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
thf(91,plain,
! [A: $i,B: $i] :
( ( ( model @ A @ B )
=> ~ ( model @ A @ ( not @ B ) ) )
& ( ~ ( model @ A @ ( not @ B ) )
=> ( model @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(30,axiom,
? [A: $i,B: $i] :
( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ~ ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
~ ( model @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
thf(240,plain,
? [A: $i,B: $i] :
( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ~ ( model @ C @ A )
& ( model @ C @ B ) )
& ? [C: $i] :
~ ( model @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) ) )
<=> ( status @ A @ B @ wec ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wec) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) ) )
=> ( status @ A @ B @ wec ) )
& ( ( status @ A @ B @ wec )
=> ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] :
( ( model @ C @ A )
=> ( model @ C @ B ) )
& ? [C: $i] :
( ( model @ C @ B )
& ~ ( model @ C @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
<=> ( status @ A @ B @ sat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sat) ).
thf(226,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) )
=> ( status @ A @ B @ sat ) )
& ( ( status @ A @ B @ sat )
=> ? [C: $i] :
( ( model @ C @ A )
& ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(1,conjecture,
isa @ wth @ thm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_wth_thm) ).
thf(2,negated_conjecture,
~ ( isa @ wth @ thm ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(35,plain,
~ ( isa @ wth @ thm ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
? [A: $i] :
! [B: $i] :
~ ( model @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
thf(72,plain,
? [A: $i] :
! [B: $i] :
~ ( model @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( model @ C @ A )
=> ~ ? [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ unp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
thf(175,plain,
! [A: $i,B: $i] :
( ( ( ~ ? [C: $i] : ( model @ C @ A )
=> ~ ? [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ unp ) )
& ( ( status @ A @ B @ unp )
=> ( ~ ? [C: $i] : ( model @ C @ A )
=> ~ ? [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ wtc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wtc) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ wtc ) )
& ( ( status @ A @ B @ wtc )
=> ( ? [C: $i] : ( model @ C @ A )
& ? [C: $i] :
~ ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ tac ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tac) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ tac ) )
& ( ( status @ A @ B @ tac )
=> ( ? [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B )
& ? [C: $i] :
~ ( model @ C @ B ) )
<=> ( status @ A @ B @ wca ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wca) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B )
& ? [C: $i] :
~ ( model @ C @ B ) )
=> ( status @ A @ B @ wca ) )
& ( ( status @ A @ B @ wca )
=> ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B )
& ? [C: $i] :
~ ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ! [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ ( not @ B ) ) )
<=> ( status @ A @ B @ uns ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uns) ).
thf(146,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ ( not @ B ) ) )
=> ( status @ A @ B @ uns ) )
& ( ( status @ A @ B @ uns )
=> ( ! [C: $i] : ( model @ C @ A )
& ! [C: $i] : ( model @ C @ ( not @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B ) )
<=> ( status @ A @ B @ sca ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca) ).
thf(51,plain,
! [A: $i,B: $i] :
( ( ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B ) )
=> ( status @ A @ B @ sca ) )
& ( ( status @ A @ B @ sca )
=> ( ~ ? [C: $i] : ( model @ C @ A )
& ? [C: $i] : ( model @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(440,plain,
$false,
inference(cvc4,[status(thm)],[249,153,185,261,84,233,192,96,45,181,255,127,203,158,215,120,247,197,65,169,141,91,240,108,226,35,72,175,75,58,36,146,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS192+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 15:19:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.83/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.99 % [INFO] Parsing done (133ms).
% 1.19/0.99 % [INFO] Running in sequential loop mode.
% 1.80/1.20 % [INFO] eprover registered as external prover.
% 1.80/1.20 % [INFO] cvc4 registered as external prover.
% 1.80/1.21 % [INFO] Scanning for conjecture ...
% 1.96/1.26 % [INFO] Found a conjecture and 32 axioms. Running axiom selection ...
% 1.96/1.30 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms).
% 2.22/1.35 % [INFO] Problem is first-order (TPTP FOF).
% 2.22/1.36 % [INFO] Type checking passed.
% 2.22/1.36 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.81/2.38 % External prover 'cvc4' found a proof!
% 5.81/2.38 % [INFO] Killing All external provers ...
% 5.81/2.38 % Time passed: 1862ms (effective reasoning time: 1385ms)
% 5.81/2.38 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.81/2.38 % Axioms used in derivation (32): wec, completeness, contradiction, tau, wtc, sat_non_taut_pair, satisfiable, wth, sat, sap, nevera, noc, tca, eth, thm, uns, nota, sca, csa, mighta, wca, eqv, isa, cax, tautology, tac, non_thm_spt, xora, not, unp, esa, mixed_pair
% 5.81/2.38 % No. of inferences in proof: 68
% 5.81/2.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1862 ms resp. 1385 ms w/o parsing
% 6.08/2.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.08/2.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------