TSTP Solution File: KRS155+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 10:38:27 EDT 2024
% Result : Theorem 145.73s 28.07s
% Output : Refutation 145.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 68
% Syntax : Number of formulae : 333 ( 53 unt; 35 typ; 0 def)
% Number of atoms : 1940 ( 24 equ; 0 cnn)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 4897 (1367 ~;1364 |; 159 &;1936 @)
% ( 15 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 14 con; 0-2 aty)
% Number of variables : 187 ( 0 ^ 140 !; 47 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(cC20_type,type,
cC20: $i > $o ).
thf(iV8467_type,type,
iV8467: $i ).
thf(cC4_type,type,
cC4: $i > $o ).
thf(cC8_type,type,
cC8: $i > $o ).
thf(cC82_type,type,
cC82: $i > $o ).
thf(cC62_type,type,
cC62: $i > $o ).
thf(cC14_type,type,
cC14: $i > $o ).
thf(cC34_type,type,
cC34: $i > $o ).
thf(cC10_type,type,
cC10: $i > $o ).
thf(cC48_type,type,
cC48: $i > $o ).
thf(iV8471_type,type,
iV8471: $i ).
thf(cC80_type,type,
cC80: $i > $o ).
thf(cC58_type,type,
cC58: $i > $o ).
thf(iV8472_type,type,
iV8472: $i ).
thf(cC60_type,type,
cC60: $i > $o ).
thf(cC6xcomp_type,type,
cC6xcomp: $i > $o ).
thf(rR1_type,type,
rR1: $i > $i > $o ).
thf(cC2_type,type,
cC2: $i > $o ).
thf(cC78xcomp_type,type,
cC78xcomp: $i > $o ).
thf(cC2xcomp_type,type,
cC2xcomp: $i > $o ).
thf(iV8476_type,type,
iV8476: $i ).
thf(cC32xcomp_type,type,
cC32xcomp: $i > $o ).
thf(iV8474_type,type,
iV8474: $i ).
thf(iV8473_type,type,
iV8473: $i ).
thf(iV8469_type,type,
iV8469: $i ).
thf(cTOP_type,type,
cTOP: $i > $o ).
thf(iV8470_type,type,
iV8470: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(95,axiom,
cC2xcomp @ iV8472,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
thf(510,plain,
cC2xcomp @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(105,axiom,
! [A: $i] :
( ( cC60 @ A )
<=> ( ( cC2xcomp @ A )
& ( cC58 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(540,plain,
! [A: $i] :
( ( ( cC60 @ A )
=> ( ( cC2xcomp @ A )
& ( cC58 @ A ) ) )
& ( ( ( cC2xcomp @ A )
& ( cC58 @ A ) )
=> ( cC60 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(541,plain,
( ! [A: $i] :
( ( cC60 @ A )
=> ( ( cC2xcomp @ A )
& ( cC58 @ A ) ) )
& ! [A: $i] :
( ( ( cC2xcomp @ A )
& ( cC58 @ A ) )
=> ( cC60 @ A ) ) ),
inference(miniscope,[status(thm)],[540]) ).
thf(542,plain,
! [A: $i] :
( ~ ( cC2xcomp @ A )
| ~ ( cC58 @ A )
| ( cC60 @ A ) ),
inference(cnf,[status(esa)],[541]) ).
thf(545,plain,
! [A: $i] :
( ~ ( cC2xcomp @ A )
| ~ ( cC58 @ A )
| ( cC60 @ A ) ),
inference(simp,[status(thm)],[542]) ).
thf(12014,plain,
! [A: $i] :
( ~ ( cC58 @ A )
| ( cC60 @ A )
| ( ( cC2xcomp @ iV8472 )
!= ( cC2xcomp @ A ) ) ),
inference(paramod_ordered,[status(thm)],[510,545]) ).
thf(12015,plain,
( ~ ( cC58 @ iV8472 )
| ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[12014:[bind(A,$thf( iV8472 ))]]) ).
thf(69,axiom,
! [A: $i] :
( ( cC10 @ A )
<=> ( ( cC4 @ A )
& ( cC8 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(434,plain,
! [A: $i] :
( ( ( cC10 @ A )
=> ( ( cC4 @ A )
& ( cC8 @ A ) ) )
& ( ( ( cC4 @ A )
& ( cC8 @ A ) )
=> ( cC10 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(435,plain,
( ! [A: $i] :
( ( cC10 @ A )
=> ( ( cC4 @ A )
& ( cC8 @ A ) ) )
& ! [A: $i] :
( ( ( cC4 @ A )
& ( cC8 @ A ) )
=> ( cC10 @ A ) ) ),
inference(miniscope,[status(thm)],[434]) ).
thf(436,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( cC10 @ A ) ),
inference(cnf,[status(esa)],[435]) ).
thf(439,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( cC10 @ A ) ),
inference(simp,[status(thm)],[436]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(114,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(115,plain,
~ ( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A )
& ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) )
& ( cC20 @ iV8467 )
& ( cC4 @ iV8467 )
& ( cC8 @ iV8467 )
& ( cC82 @ iV8467 )
& ( cC62 @ iV8467 )
& ( cC14 @ iV8467 )
& ( cC34 @ iV8467 )
& ( cC10 @ iV8467 )
& ( cowlThing @ iV8467 )
& ( cC48 @ iV8467 )
& ( cowlThing @ iV8471 )
& ( cC80 @ iV8471 )
& ( cC58 @ iV8472 )
& ( cC60 @ iV8472 )
& ( cowlThing @ iV8472 ) ),
inference(miniscope,[status(thm)],[114]) ).
thf(117,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(cnf,[status(esa)],[115]) ).
thf(90,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(489,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(490,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[489]) ).
thf(491,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[490]) ).
thf(493,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[491]) ).
thf(574,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[117,493]) ).
thf(575,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[574]) ).
thf(67,axiom,
cowlThing @ iV8471,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
thf(432,plain,
cowlThing @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(580,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[575,432]) ).
thf(581,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[580]) ).
thf(492,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[490]) ).
thf(1070,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ $true
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ $true ),
inference(rewrite,[status(thm)],[581,492]) ).
thf(1071,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[1070]) ).
thf(8152,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ( ( cC10 @ A )
!= ( cC10 @ iV8467 ) ) ),
inference(paramod_ordered,[status(thm)],[439,1071]) ).
thf(8153,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[8152:[bind(A,$thf( iV8467 ))]]) ).
thf(8165,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[8153]) ).
thf(85,axiom,
rR1 @ iV8467 @ iV8469,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
thf(484,plain,
rR1 @ iV8467 @ iV8469,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(65,axiom,
! [A: $i] :
( ( cC8 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(425,plain,
! [A: $i] :
( ( ( cC8 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) )
=> ( cC8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(426,plain,
( ! [A: $i] :
( ( cC8 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6xcomp @ B ) )
=> ( cC8 @ A ) ) ),
inference(miniscope,[status(thm)],[425]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC6xcomp @ B )
| ( cC8 @ A ) ),
inference(cnf,[status(esa)],[426]) ).
thf(430,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC6xcomp @ B )
| ( cC8 @ A ) ),
inference(simp,[status(thm)],[427]) ).
thf(7930,plain,
! [B: $i,A: $i] :
( ~ ( cC6xcomp @ B )
| ( cC8 @ A )
| ( ( rR1 @ iV8467 @ iV8469 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[484,430]) ).
thf(7931,plain,
( ~ ( cC6xcomp @ iV8469 )
| ( cC8 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[7930:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8469 ))]]) ).
thf(42,axiom,
cC6xcomp @ iV8469,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
thf(314,plain,
cC6xcomp @ iV8469,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(10050,plain,
( ~ $true
| ( cC8 @ iV8467 ) ),
inference(rewrite,[status(thm)],[7931,314]) ).
thf(10051,plain,
cC8 @ iV8467,
inference(simp,[status(thm)],[10050]) ).
thf(10052,plain,
( ~ ( cC4 @ iV8467 )
| ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[8165,10051]) ).
thf(10053,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10052]) ).
thf(81,axiom,
rR1 @ iV8467 @ iV8473,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
thf(479,plain,
rR1 @ iV8467 @ iV8473,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(77,axiom,
! [A: $i] :
( ( cC48 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(455,plain,
! [A: $i] :
( ( ( cC48 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC48 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(456,plain,
( ! [A: $i] :
( ( cC48 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC48 @ A ) ) ),
inference(miniscope,[status(thm)],[455]) ).
thf(457,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC48 @ A ) ),
inference(cnf,[status(esa)],[456]) ).
thf(460,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC48 @ A ) ),
inference(simp,[status(thm)],[457]) ).
thf(8898,plain,
! [B: $i,A: $i] :
( ~ ( cC2xcomp @ B )
| ( cC48 @ A )
| ( ( rR1 @ iV8467 @ iV8473 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[479,460]) ).
thf(8899,plain,
( ~ ( cC2xcomp @ iV8473 )
| ( cC48 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[8898:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8473 ))]]) ).
thf(38,axiom,
cC2xcomp @ iV8473,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
thf(295,plain,
cC2xcomp @ iV8473,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(10492,plain,
( ~ $true
| ( cC48 @ iV8467 ) ),
inference(rewrite,[status(thm)],[8899,295]) ).
thf(10493,plain,
cC48 @ iV8467,
inference(simp,[status(thm)],[10492]) ).
thf(10496,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10053,10493]) ).
thf(10497,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10496]) ).
thf(78,axiom,
! [A: $i] :
( ( cC4 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(461,plain,
! [A: $i] :
( ( ( cC4 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(462,plain,
( ! [A: $i] :
( ( cC4 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC4 @ A ) ) ),
inference(miniscope,[status(thm)],[461]) ).
thf(463,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC4 @ A ) ),
inference(cnf,[status(esa)],[462]) ).
thf(466,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC4 @ A ) ),
inference(simp,[status(thm)],[463]) ).
thf(9328,plain,
! [B: $i,A: $i] :
( ~ ( cC2xcomp @ B )
| ( cC4 @ A )
| ( ( rR1 @ iV8467 @ iV8473 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[479,466]) ).
thf(9329,plain,
( ~ ( cC2xcomp @ iV8473 )
| ( cC4 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[9328:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8473 ))]]) ).
thf(11313,plain,
( ~ $true
| ( cC4 @ iV8467 ) ),
inference(rewrite,[status(thm)],[9329,295]) ).
thf(11314,plain,
cC4 @ iV8467,
inference(simp,[status(thm)],[11313]) ).
thf(11319,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10497,11314]) ).
thf(11320,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[11319]) ).
thf(88,axiom,
cC2xcomp @ iV8471,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
thf(487,plain,
cC2xcomp @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(79,axiom,
! [A: $i] :
( ( cC80 @ A )
<=> ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(467,plain,
! [A: $i] :
( ( ( cC80 @ A )
=> ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ( ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC80 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(468,plain,
( ! [A: $i] :
( ( cC80 @ A )
=> ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ! [A: $i] :
( ( ( cC78xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC80 @ A ) ) ),
inference(miniscope,[status(thm)],[467]) ).
thf(469,plain,
! [A: $i] :
( ~ ( cC78xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC80 @ A ) ),
inference(cnf,[status(esa)],[468]) ).
thf(472,plain,
! [A: $i] :
( ~ ( cC78xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC80 @ A ) ),
inference(simp,[status(thm)],[469]) ).
thf(9592,plain,
! [A: $i] :
( ~ ( cC78xcomp @ A )
| ( cC80 @ A )
| ( ( cC2xcomp @ iV8471 )
!= ( cC2xcomp @ A ) ) ),
inference(paramod_ordered,[status(thm)],[487,472]) ).
thf(9593,plain,
( ~ ( cC78xcomp @ iV8471 )
| ( cC80 @ iV8471 ) ),
inference(pattern_uni,[status(thm)],[9592:[bind(A,$thf( iV8471 ))]]) ).
thf(102,axiom,
cC78xcomp @ iV8471,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
thf(532,plain,
cC78xcomp @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(12033,plain,
( ~ $true
| ( cC80 @ iV8471 ) ),
inference(rewrite,[status(thm)],[9593,532]) ).
thf(12034,plain,
cC80 @ iV8471,
inference(simp,[status(thm)],[12033]) ).
thf(12037,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[11320,12034]) ).
thf(12038,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12037]) ).
thf(80,axiom,
! [A: $i] :
( ( cC20 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(473,plain,
! [A: $i] :
( ( ( cC20 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC20 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(474,plain,
( ! [A: $i] :
( ( cC20 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2xcomp @ B ) )
=> ( cC20 @ A ) ) ),
inference(miniscope,[status(thm)],[473]) ).
thf(475,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC20 @ A ) ),
inference(cnf,[status(esa)],[474]) ).
thf(478,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2xcomp @ B )
| ( cC20 @ A ) ),
inference(simp,[status(thm)],[475]) ).
thf(9826,plain,
! [B: $i,A: $i] :
( ~ ( cC2xcomp @ B )
| ( cC20 @ A )
| ( ( rR1 @ iV8467 @ iV8473 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[479,478]) ).
thf(9827,plain,
( ~ ( cC2xcomp @ iV8473 )
| ( cC20 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[9826:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8473 ))]]) ).
thf(12131,plain,
( ~ $true
| ( cC20 @ iV8467 ) ),
inference(rewrite,[status(thm)],[9827,295]) ).
thf(12132,plain,
cC20 @ iV8467,
inference(simp,[status(thm)],[12131]) ).
thf(12135,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12038,12132]) ).
thf(12136,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12135]) ).
thf(76,axiom,
rR1 @ iV8467 @ iV8474,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
thf(454,plain,
rR1 @ iV8467 @ iV8474,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(97,axiom,
! [A: $i] :
( ( cC34 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(517,plain,
! [A: $i] :
( ( ( cC34 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) )
=> ( cC34 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(518,plain,
( ! [A: $i] :
( ( cC34 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC32xcomp @ B ) )
=> ( cC34 @ A ) ) ),
inference(miniscope,[status(thm)],[517]) ).
thf(519,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC32xcomp @ B )
| ( cC34 @ A ) ),
inference(cnf,[status(esa)],[518]) ).
thf(522,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC32xcomp @ B )
| ( cC34 @ A ) ),
inference(simp,[status(thm)],[519]) ).
thf(11141,plain,
! [B: $i,A: $i] :
( ~ ( cC32xcomp @ B )
| ( cC34 @ A )
| ( ( rR1 @ iV8467 @ iV8474 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[454,522]) ).
thf(11142,plain,
( ~ ( cC32xcomp @ iV8474 )
| ( cC34 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[11141:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8474 ))]]) ).
thf(36,axiom,
cC32xcomp @ iV8474,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
thf(288,plain,
cC32xcomp @ iV8474,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(13785,plain,
( ~ $true
| ( cC34 @ iV8467 ) ),
inference(rewrite,[status(thm)],[11142,288]) ).
thf(13786,plain,
cC34 @ iV8467,
inference(simp,[status(thm)],[13785]) ).
thf(13805,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12136,13786]) ).
thf(13806,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[13805]) ).
thf(111,axiom,
rR1 @ iV8467 @ iV8470,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).
thf(564,plain,
rR1 @ iV8467 @ iV8470,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(101,axiom,
! [A: $i] :
( ( cC14 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(526,plain,
! [A: $i] :
( ( ( cC14 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) )
=> ( cC14 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(527,plain,
( ! [A: $i] :
( ( cC14 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cTOP @ B ) )
=> ( cC14 @ A ) ) ),
inference(miniscope,[status(thm)],[526]) ).
thf(528,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cTOP @ B )
| ( cC14 @ A ) ),
inference(cnf,[status(esa)],[527]) ).
thf(531,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cTOP @ B )
| ( cC14 @ A ) ),
inference(simp,[status(thm)],[528]) ).
thf(11492,plain,
! [B: $i,A: $i] :
( ~ ( cTOP @ B )
| ( cC14 @ A )
| ( ( rR1 @ iV8467 @ iV8470 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[564,531]) ).
thf(11493,plain,
( ~ ( cTOP @ iV8470 )
| ( cC14 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[11492:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8470 ))]]) ).
thf(48,axiom,
cTOP @ iV8470,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).
thf(339,plain,
cTOP @ iV8470,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(14079,plain,
( ~ $true
| ( cC14 @ iV8467 ) ),
inference(rewrite,[status(thm)],[11493,339]) ).
thf(14080,plain,
cC14 @ iV8467,
inference(simp,[status(thm)],[14079]) ).
thf(14089,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[13806,14080]) ).
thf(14090,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[14089]) ).
thf(14919,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ( ( cC60 @ iV8472 )
!= ( cC60 @ iV8472 ) ) ),
inference(paramod_ordered,[status(thm)],[12015,14090]) ).
thf(14920,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[14919:[]]) ).
thf(73,axiom,
rR1 @ iV8467 @ iV8471,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
thf(447,plain,
rR1 @ iV8467 @ iV8471,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(107,axiom,
! [A: $i] :
( ( cC82 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(551,plain,
! [A: $i] :
( ( ( cC82 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) )
=> ( cC82 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(552,plain,
( ! [A: $i] :
( ( cC82 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC80 @ B ) )
=> ( cC82 @ A ) ) ),
inference(miniscope,[status(thm)],[551]) ).
thf(553,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC80 @ B )
| ( cC82 @ A ) ),
inference(cnf,[status(esa)],[552]) ).
thf(556,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC80 @ B )
| ( cC82 @ A ) ),
inference(simp,[status(thm)],[553]) ).
thf(12688,plain,
! [B: $i,A: $i] :
( ~ ( cC80 @ B )
| ( cC82 @ A )
| ( ( rR1 @ iV8467 @ iV8471 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[447,556]) ).
thf(12689,plain,
( ~ ( cC80 @ iV8471 )
| ( cC82 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[12688:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8471 ))]]) ).
thf(15238,plain,
( ~ $true
| ( cC82 @ iV8467 ) ),
inference(rewrite,[status(thm)],[12689,12034]) ).
thf(15239,plain,
cC82 @ iV8467,
inference(simp,[status(thm)],[15238]) ).
thf(15250,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[14920,15239]) ).
thf(15251,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[15250]) ).
thf(103,axiom,
rR1 @ iV8472 @ iV8476,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
thf(533,plain,
rR1 @ iV8472 @ iV8476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(113,axiom,
! [A: $i] :
( ( cC58 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(566,plain,
! [A: $i] :
( ( ( cC58 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC58 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(567,plain,
( ! [A: $i] :
( ( cC58 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC2 @ B ) )
=> ( cC58 @ A ) ) ),
inference(miniscope,[status(thm)],[566]) ).
thf(568,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2 @ B )
| ( cC58 @ A ) ),
inference(cnf,[status(esa)],[567]) ).
thf(571,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC2 @ B )
| ( cC58 @ A ) ),
inference(simp,[status(thm)],[568]) ).
thf(13122,plain,
! [B: $i,A: $i] :
( ~ ( cC2 @ B )
| ( cC58 @ A )
| ( ( rR1 @ iV8472 @ iV8476 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[533,571]) ).
thf(13123,plain,
( ~ ( cC2 @ iV8476 )
| ( cC58 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[13122:[bind(A,$thf( iV8472 )),bind(B,$thf( iV8476 ))]]) ).
thf(23,axiom,
cC2 @ iV8476,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
thf(228,plain,
cC2 @ iV8476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(16186,plain,
( ~ $true
| ( cC58 @ iV8472 ) ),
inference(rewrite,[status(thm)],[13123,228]) ).
thf(16187,plain,
cC58 @ iV8472,
inference(simp,[status(thm)],[16186]) ).
thf(16200,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[15251,16187]) ).
thf(16201,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[16200]) ).
thf(110,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(559,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(560,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[559]) ).
thf(561,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[560]) ).
thf(563,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[561]) ).
thf(118,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(cnf,[status(esa)],[115]) ).
thf(576,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[118,493]) ).
thf(577,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[576]) ).
thf(582,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[577,432]) ).
thf(583,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[582]) ).
thf(1072,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ $true
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ $true ),
inference(rewrite,[status(thm)],[583,492]) ).
thf(1073,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[1072]) ).
thf(8148,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ( ( cC10 @ A )
!= ( cC10 @ iV8467 ) ) ),
inference(paramod_ordered,[status(thm)],[439,1073]) ).
thf(8149,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[8148:[bind(A,$thf( iV8467 ))]]) ).
thf(8163,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[8149]) ).
thf(10058,plain,
( ~ ( cC4 @ iV8467 )
| ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[8163,10051]) ).
thf(10059,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10058]) ).
thf(10502,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10059,10493]) ).
thf(10503,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10502]) ).
thf(11327,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10503,11314]) ).
thf(11328,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[11327]) ).
thf(12041,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[11328,12034]) ).
thf(12042,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12041]) ).
thf(12298,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12042,12132]) ).
thf(12299,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12298]) ).
thf(13791,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12299,13786]) ).
thf(13792,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[13791]) ).
thf(14091,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[13792,14080]) ).
thf(14092,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[14091]) ).
thf(14898,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ( ( cC60 @ iV8472 )
!= ( cC60 @ iV8472 ) ) ),
inference(paramod_ordered,[status(thm)],[12015,14092]) ).
thf(14899,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[14898:[]]) ).
thf(15248,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[14899,15239]) ).
thf(15249,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[15248]) ).
thf(16190,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[15249,16187]) ).
thf(16191,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[16190]) ).
thf(86,axiom,
rR1 @ iV8467 @ iV8472,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
thf(485,plain,
rR1 @ iV8467 @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(96,axiom,
! [A: $i] :
( ( cC62 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(511,plain,
! [A: $i] :
( ( ( cC62 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) )
=> ( cC62 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(512,plain,
( ! [A: $i] :
( ( cC62 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) ) )
& ! [A: $i] :
( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC60 @ B ) )
=> ( cC62 @ A ) ) ),
inference(miniscope,[status(thm)],[511]) ).
thf(513,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC60 @ B )
| ( cC62 @ A ) ),
inference(cnf,[status(esa)],[512]) ).
thf(516,plain,
! [B: $i,A: $i] :
( ~ ( rR1 @ A @ B )
| ~ ( cC60 @ B )
| ( cC62 @ A ) ),
inference(simp,[status(thm)],[513]) ).
thf(10637,plain,
! [B: $i,A: $i] :
( ~ ( cC60 @ B )
| ( cC62 @ A )
| ( ( rR1 @ iV8467 @ iV8472 )
!= ( rR1 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[485,516]) ).
thf(10638,plain,
( ~ ( cC60 @ iV8472 )
| ( cC62 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[10637:[bind(A,$thf( iV8467 )),bind(B,$thf( iV8472 ))]]) ).
thf(16194,plain,
( ~ $true
| ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12015,16187]) ).
thf(16195,plain,
cC60 @ iV8472,
inference(simp,[status(thm)],[16194]) ).
thf(16216,plain,
( ~ $true
| ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[10638,16195]) ).
thf(16217,plain,
cC62 @ iV8467,
inference(simp,[status(thm)],[16216]) ).
thf(16260,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[16191,16217]) ).
thf(16261,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 ) ),
inference(simp,[status(thm)],[16260]) ).
thf(16379,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_integer @ sk3 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[563,16261]) ).
thf(16380,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 ) ),
inference(pattern_uni,[status(thm)],[16379:[bind(A,$thf( sk4 ))]]) ).
thf(562,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[560]) ).
thf(16502,plain,
! [A: $i] :
( ( xsd_string @ sk4 )
| ~ ( xsd_string @ A )
| ( ( xsd_integer @ sk3 )
!= ( xsd_integer @ A ) ) ),
inference(paramod_ordered,[status(thm)],[16380,562]) ).
thf(16503,plain,
( ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk3 ) ),
inference(pattern_uni,[status(thm)],[16502:[bind(A,$thf( sk3 ))]]) ).
thf(119,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(cnf,[status(esa)],[115]) ).
thf(68,axiom,
cowlThing @ iV8467,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
thf(433,plain,
cowlThing @ iV8467,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(598,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ $true
| ~ ( cC48 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[119,432,433,493]) ).
thf(599,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[598]) ).
thf(98,axiom,
cowlThing @ iV8472,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
thf(523,plain,
cowlThing @ iV8472,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(672,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ $true ),
inference(rewrite,[status(thm)],[599,523]) ).
thf(673,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[672]) ).
thf(744,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[673,492]) ).
thf(745,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[744]) ).
thf(8154,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ( ( cC10 @ A )
!= ( cC10 @ iV8467 ) ) ),
inference(paramod_ordered,[status(thm)],[439,745]) ).
thf(8155,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[8154:[bind(A,$thf( iV8467 ))]]) ).
thf(8166,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[8155]) ).
thf(10060,plain,
( ~ ( cC4 @ iV8467 )
| ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[8166,10051]) ).
thf(10061,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10060]) ).
thf(10494,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10061,10493]) ).
thf(10495,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10494]) ).
thf(11315,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10495,11314]) ).
thf(11316,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[11315]) ).
thf(12045,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[11316,12034]) ).
thf(12046,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12045]) ).
thf(12574,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12046,12132]) ).
thf(12575,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12574]) ).
thf(13789,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12575,13786]) ).
thf(13790,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[13789]) ).
thf(14085,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[13790,14080]) ).
thf(14086,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[14085]) ).
thf(14909,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ( ( cC60 @ iV8472 )
!= ( cC60 @ iV8472 ) ) ),
inference(paramod_ordered,[status(thm)],[12015,14086]) ).
thf(14910,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[14909:[]]) ).
thf(15242,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[14910,15239]) ).
thf(15243,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[15242]) ).
thf(16188,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[15243,16187]) ).
thf(16189,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[16188]) ).
thf(16262,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[16189,16217]) ).
thf(16263,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[16262]) ).
thf(16382,plain,
! [A: $i] :
( ~ ( xsd_string @ sk4 )
| ~ ( xsd_string @ A )
| ( ( xsd_integer @ sk3 )
!= ( xsd_integer @ A ) ) ),
inference(paramod_ordered,[status(thm)],[16263,562]) ).
thf(16383,plain,
( ~ ( xsd_string @ sk4 )
| ~ ( xsd_string @ sk3 ) ),
inference(pattern_uni,[status(thm)],[16382:[bind(A,$thf( sk3 ))]]) ).
thf(16671,plain,
( ~ ( xsd_string @ sk3 )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[16503,16383]) ).
thf(16672,plain,
~ ( xsd_string @ sk3 ),
inference(pattern_uni,[status(thm)],[16671:[]]) ).
thf(116,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(cnf,[status(esa)],[115]) ).
thf(572,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[116,493]) ).
thf(573,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cowlThing @ iV8471 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[572]) ).
thf(578,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[573,432]) ).
thf(579,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cowlThing @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[578]) ).
thf(584,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ $true
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(rewrite,[status(thm)],[579,433]) ).
thf(585,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ ( cowlThing @ iV8472 ) ),
inference(simp,[status(thm)],[584]) ).
thf(674,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ~ $true ),
inference(rewrite,[status(thm)],[585,523]) ).
thf(675,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[674]) ).
thf(740,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[675,492]) ).
thf(741,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC10 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[740]) ).
thf(8146,plain,
! [A: $i] :
( ~ ( cC4 @ A )
| ~ ( cC8 @ A )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ( ( cC10 @ A )
!= ( cC10 @ iV8467 ) ) ),
inference(paramod_ordered,[status(thm)],[439,741]) ).
thf(8147,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[8146:[bind(A,$thf( iV8467 ))]]) ).
thf(8162,plain,
( ~ ( cC4 @ iV8467 )
| ~ ( cC8 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[8147]) ).
thf(10062,plain,
( ~ ( cC4 @ iV8467 )
| ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[8162,10051]) ).
thf(10063,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC48 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10062]) ).
thf(10500,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10063,10493]) ).
thf(10501,plain,
( ~ ( cC4 @ iV8467 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[10500]) ).
thf(11317,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[10501,11314]) ).
thf(11318,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC80 @ iV8471 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[11317]) ).
thf(12035,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[11318,12034]) ).
thf(12036,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC20 @ iV8467 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12035]) ).
thf(12133,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12036,12132]) ).
thf(12134,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[12133]) ).
thf(12195,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[563,12134]) ).
thf(12196,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC34 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(pattern_uni,[status(thm)],[12195:[bind(A,$thf( sk4 ))]]) ).
thf(13797,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[12196,13786]) ).
thf(13798,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC14 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[13797]) ).
thf(14087,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ $true
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(rewrite,[status(thm)],[13798,14080]) ).
thf(14088,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ~ ( cC58 @ iV8472 )
| ~ ( cC60 @ iV8472 ) ),
inference(simp,[status(thm)],[14087]) ).
thf(14892,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 )
| ( ( cC60 @ iV8472 )
!= ( cC60 @ iV8472 ) ) ),
inference(paramod_ordered,[status(thm)],[12015,14088]) ).
thf(14893,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC82 @ iV8467 )
| ~ ( cC62 @ iV8467 ) ),
inference(pattern_uni,[status(thm)],[14892:[]]) ).
thf(15240,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ $true
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[14893,15239]) ).
thf(15241,plain,
( ~ ( cC58 @ iV8472 )
| ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[15240]) ).
thf(16196,plain,
( ~ $true
| ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC62 @ iV8467 ) ),
inference(rewrite,[status(thm)],[15241,16187]) ).
thf(16197,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC62 @ iV8467 ) ),
inference(simp,[status(thm)],[16196]) ).
thf(17130,plain,
( ( xsd_string @ sk4 )
| $false
| ~ $true ),
inference(rewrite,[status(thm)],[16197,16672,16217]) ).
thf(17131,plain,
xsd_string @ sk4,
inference(simp,[status(thm)],[17130]) ).
thf(17158,plain,
( $false
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[16201,16672,16217,17131]) ).
thf(17159,plain,
$false,
inference(simp,[status(thm)],[17158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : run_Leo-III %s %d
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon May 6 22:55:24 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.84/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.51/1.09 % [INFO] Parsing done (240ms).
% 1.51/1.10 % [INFO] Running in sequential loop mode.
% 1.95/1.41 % [INFO] nitpick registered as external prover.
% 1.95/1.41 % [INFO] Scanning for conjecture ...
% 2.27/1.53 % [INFO] Found a conjecture and 134 axioms. Running axiom selection ...
% 2.45/1.64 % [INFO] Axiom selection finished. Selected 111 axioms (removed 23 axioms).
% 2.73/1.73 % [INFO] Problem is first-order (TPTP FOF).
% 2.73/1.75 % [INFO] Type checking passed.
% 2.73/1.75 % [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 ...
% 145.73/28.06 % [INFO] Killing All external provers ...
% 145.73/28.06 % Time passed: 27603ms (effective reasoning time: 26952ms)
% 145.73/28.06 % 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)>
% 145.73/28.07 % Axioms used in derivation (32): axiom_108, axiom_119, axiom_125, axiom_44, axiom_122, axiom_104, axiom_80, axiom_29, axiom_106, axiom_113, axiom_102, axiom_110, axiom_103, axiom_2, axiom_79, axiom_118, axiom_132, axiom_1, axiom_57, axiom_127, axiom_116, axiom_61, axiom_105, axiom_35, axiom_5, axiom_13, axiom_123, axiom_82, axiom_0, axiom_62, axiom_124, axiom_120
% 145.73/28.07 % No. of inferences in proof: 298
% 145.73/28.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 27603 ms resp. 26952 ms w/o parsing
% 145.73/28.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 145.73/28.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------