TSTP Solution File: KRS148+1 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 07:51:59 EDT 2024
% Result : Theorem 5.28s 2.28s
% Output : Refutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 155
% Syntax : Number of formulae : 239 ( 27 unt; 73 typ; 0 def)
% Number of atoms : 637 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1368 ( 137 ~; 0 |; 270 &; 760 @)
% ( 65 <=>; 136 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% Number of symbols : 74 ( 73 usr; 4 con; 0-2 aty)
% Number of variables : 256 ( 0 ^ 142 !; 114 ?; 256 :)
% 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(cC138_type,type,
cC138: $i > $o ).
thf(iV5475_type,type,
iV5475: $i ).
thf(cC116_type,type,
cC116: $i > $o ).
thf(cC140_type,type,
cC140: $i > $o ).
thf(cC78_type,type,
cC78: $i > $o ).
thf(cC76_type,type,
cC76: $i > $o ).
thf(cC2_type,type,
cC2: $i > $o ).
thf(cC130_type,type,
cC130: $i > $o ).
thf(cC128_type,type,
cC128: $i > $o ).
thf(cC98_type,type,
cC98: $i > $o ).
thf(cC96_type,type,
cC96: $i > $o ).
thf(cC100_type,type,
cC100: $i > $o ).
thf(cC94_type,type,
cC94: $i > $o ).
thf(cC122_type,type,
cC122: $i > $o ).
thf(cC120_type,type,
cC120: $i > $o ).
thf(cC70_type,type,
cC70: $i > $o ).
thf(cC68_type,type,
cC68: $i > $o ).
thf(cC66_type,type,
cC66: $i > $o ).
thf(cC64_type,type,
cC64: $i > $o ).
thf(cC26_type,type,
cC26: $i > $o ).
thf(cC14_type,type,
cC14: $i > $o ).
thf(cC24_type,type,
cC24: $i > $o ).
thf(cC42_type,type,
cC42: $i > $o ).
thf(cC40_type,type,
cC40: $i > $o ).
thf(cC118_type,type,
cC118: $i > $o ).
thf(rR1_type,type,
rR1: $i > $i > $o ).
thf(cC18_type,type,
cC18: $i > $o ).
thf(cC16_type,type,
cC16: $i > $o ).
thf(cC6_type,type,
cC6: $i > $o ).
thf(cC4_type,type,
cC4: $i > $o ).
thf(cC28_type,type,
cC28: $i > $o ).
thf(cC126_type,type,
cC126: $i > $o ).
thf(cC124_type,type,
cC124: $i > $o ).
thf(cC92_type,type,
cC92: $i > $o ).
thf(cC90_type,type,
cC90: $i > $o ).
thf(cC22_type,type,
cC22: $i > $o ).
thf(cC20_type,type,
cC20: $i > $o ).
thf(cC104_type,type,
cC104: $i > $o ).
thf(cC102_type,type,
cC102: $i > $o ).
thf(cC88_type,type,
cC88: $i > $o ).
thf(cC134_type,type,
cC134: $i > $o ).
thf(cC132_type,type,
cC132: $i > $o ).
thf(cC86_type,type,
cC86: $i > $o ).
thf(cC56_type,type,
cC56: $i > $o ).
thf(cC54_type,type,
cC54: $i > $o ).
thf(cC34_type,type,
cC34: $i > $o ).
thf(cC30_type,type,
cC30: $i > $o ).
thf(cC32_type,type,
cC32: $i > $o ).
thf(cC10_type,type,
cC10: $i > $o ).
thf(cC8_type,type,
cC8: $i > $o ).
thf(cC52_type,type,
cC52: $i > $o ).
thf(cC50_type,type,
cC50: $i > $o ).
thf(iV5478_type,type,
iV5478: $i ).
thf(cC106_type,type,
cC106: $i > $o ).
thf(cC12_type,type,
cC12: $i > $o ).
thf(cC82_type,type,
cC82: $i > $o ).
thf(cC80_type,type,
cC80: $i > $o ).
thf(cC72_type,type,
cC72: $i > $o ).
thf(cC46_type,type,
cC46: $i > $o ).
thf(cC44_type,type,
cC44: $i > $o ).
thf(cC114_type,type,
cC114: $i > $o ).
thf(cC112_type,type,
cC112: $i > $o ).
thf(cC136_type,type,
cC136: $i > $o ).
thf(cC58_type,type,
cC58: $i > $o ).
thf(cC110_type,type,
cC110: $i > $o ).
thf(cC36_type,type,
cC36: $i > $o ).
thf(cTEST_type,type,
cTEST: $i > $o ).
thf(cTOP_type,type,
cTOP: $i > $o ).
thf(iV5476_type,type,
iV5476: $i ).
thf(57,axiom,
! [A: $i] :
( ( cC136 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC134 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(385,plain,
! [A: $i] :
( ( ( cC136 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC134 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC134 @ B ) )
=> ( cC136 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(22,axiom,
! [A: $i] :
( ( cC56 @ A )
<=> ( ~ ( cC54 @ A )
& ~ ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(204,plain,
! [A: $i] :
( ( ( cC56 @ A )
=> ( ~ ( cC54 @ A )
& ~ ( cC2 @ A ) ) )
& ( ( ~ ( cC54 @ A )
& ~ ( cC2 @ A ) )
=> ( cC56 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(27,axiom,
! [A: $i] :
( ( cC64 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(230,plain,
! [A: $i] :
( ( ( cC64 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC64 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(70,axiom,
! [A: $i] :
( ( cTEST @ A )
<=> ( ( cC140 @ A )
& ( cC116 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
thf(455,plain,
! [A: $i] :
( ( ( cTEST @ A )
=> ( ( cC140 @ A )
& ( cC116 @ A ) ) )
& ( ( ( cC140 @ A )
& ( cC116 @ A ) )
=> ( cTEST @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(82,axiom,
cTEST @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
thf(497,plain,
cTEST @ iV5475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(39,axiom,
! [A: $i] :
( ( cC82 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC80 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(290,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)],[39]) ).
thf(64,axiom,
~ ( cC130 @ iV5478 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
thf(427,plain,
~ ( cC130 @ iV5478 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(11,axiom,
! [A: $i] :
( ( cC42 @ A )
<=> ( ~ ( cC2 @ A )
& ( cC40 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(138,plain,
! [A: $i] :
( ( ( cC42 @ A )
=> ( ~ ( cC2 @ A )
& ( cC40 @ A ) ) )
& ( ( ~ ( cC2 @ A )
& ( cC40 @ A ) )
=> ( cC42 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(74,axiom,
! [A: $i] :
( ( cC116 @ A )
<=> ( ( cTOP @ A )
& ~ ( cC114 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(468,plain,
! [A: $i] :
( ( ( cC116 @ A )
=> ( ( cTOP @ A )
& ~ ( cC114 @ A ) ) )
& ( ( ( cTOP @ A )
& ~ ( cC114 @ A ) )
=> ( cC116 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(77,axiom,
cowlThing @ iV5478,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).
thf(481,plain,
cowlThing @ iV5478,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(36,axiom,
! [A: $i] :
( ( cC30 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC28 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(276,plain,
! [A: $i] :
( ( ( cC30 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC28 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC28 @ B ) )
=> ( cC30 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(69,axiom,
! [A: $i] :
( ( cC50 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(449,plain,
! [A: $i] :
( ( ( cC50 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC50 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(8,axiom,
! [A: $i] :
( ( cC70 @ A )
<=> ( ( cC2 @ A )
& ( cC68 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(120,plain,
! [A: $i] :
( ( ( cC70 @ A )
=> ( ( cC2 @ A )
& ( cC68 @ A ) ) )
& ( ( ( cC2 @ A )
& ( cC68 @ A ) )
=> ( cC70 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(56,axiom,
! [A: $i] :
( ( cC94 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
thf(379,plain,
! [A: $i] :
( ( ( cC94 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC92 @ B ) )
=> ( cC94 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(17,axiom,
! [A: $i] :
( ( cC92 @ A )
<=> ( ( cC2 @ A )
& ( cC90 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
thf(174,plain,
! [A: $i] :
( ( ( cC92 @ A )
=> ( ( cC2 @ A )
& ( cC90 @ A ) ) )
& ( ( ( cC2 @ A )
& ( cC90 @ A ) )
=> ( cC92 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(38,axiom,
~ ( cC12 @ iV5478 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
thf(288,plain,
~ ( cC12 @ iV5478 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(63,axiom,
! [A: $i] :
( ( cC36 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC34 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(421,plain,
! [A: $i] :
( ( ( cC36 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC34 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC34 @ B ) )
=> ( cC36 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(47,axiom,
! [A: $i] :
( ( cC72 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC70 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(325,plain,
! [A: $i] :
( ( ( cC72 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC70 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC70 @ B ) )
=> ( cC72 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(26,axiom,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ( cC2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
thf(228,plain,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ( cC2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(24,axiom,
! [A: $i] :
( ( cC10 @ A )
<=> ( ~ ( cC8 @ A )
& ~ ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(216,plain,
! [A: $i] :
( ( ( cC10 @ A )
=> ( ~ ( cC8 @ A )
& ~ ( cC2 @ A ) ) )
& ( ( ~ ( cC8 @ A )
& ~ ( cC2 @ A ) )
=> ( cC10 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC138 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC138 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(84,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cC138 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(76,axiom,
rR1 @ iV5475 @ iV5476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
thf(480,plain,
rR1 @ iV5475 @ iV5476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(59,axiom,
! [A: $i] :
( ( cC44 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(397,plain,
! [A: $i] :
( ( ( cC44 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC44 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(10,axiom,
! [A: $i] :
( ( cC26 @ A )
<=> ( ( cC14 @ A )
& ~ ( cC24 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(132,plain,
! [A: $i] :
( ( ( cC26 @ A )
=> ( ( cC14 @ A )
& ~ ( cC24 @ A ) ) )
& ( ( ( cC14 @ A )
& ~ ( cC24 @ A ) )
=> ( cC26 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(30,axiom,
! [A: $i] :
( ( cC68 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(248,plain,
! [A: $i] :
( ( ( cC68 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC68 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,axiom,
! [A: $i] :
( ( cC12 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(270,plain,
! [A: $i] :
( ( ( cC12 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC10 @ B ) )
=> ( cC12 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(5,axiom,
! [A: $i] :
( ( cC98 @ A )
<=> ( ( cC96 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
thf(102,plain,
! [A: $i] :
( ( ( cC98 @ A )
=> ( ( cC96 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC96 @ A )
& ( cC2 @ A ) )
=> ( cC98 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(51,axiom,
! [A: $i] :
( ( cC16 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(349,plain,
! [A: $i] :
( ( ( cC16 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC16 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(20,axiom,
! [A: $i] :
( ( cC134 @ A )
<=> ( ( cC122 @ A )
& ~ ( cC132 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(192,plain,
! [A: $i] :
( ( ( cC134 @ A )
=> ( ( cC122 @ A )
& ~ ( cC132 @ A ) ) )
& ( ( ( cC122 @ A )
& ~ ( cC132 @ A ) )
=> ( cC134 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(65,axiom,
! [A: $i] :
( ( cC40 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(429,plain,
! [A: $i] :
( ( ( cC40 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC40 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(73,axiom,
cowlThing @ iV5476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
thf(467,plain,
cowlThing @ iV5476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(53,axiom,
! [A: $i] :
( ( cC90 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
thf(361,plain,
! [A: $i] :
( ( ( cC90 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC90 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(66,axiom,
! [A: $i] :
( ( cC128 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC126 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(435,plain,
! [A: $i] :
( ( ( cC128 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC126 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC126 @ B ) )
=> ( cC128 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(71,axiom,
cTOP @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
thf(461,plain,
cTOP @ iV5475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(14,axiom,
! [A: $i] :
( ( cC6 @ A )
<=> ( ( cC2 @ A )
& ( cC4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(156,plain,
! [A: $i] :
( ( ( cC6 @ A )
=> ( ( cC2 @ A )
& ( cC4 @ A ) ) )
& ( ( ( cC2 @ A )
& ( cC4 @ A ) )
=> ( cC6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(60,axiom,
! [A: $i] :
( ( cC58 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC56 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(403,plain,
! [A: $i] :
( ( ( cC58 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC56 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC56 @ B ) )
=> ( cC58 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(32,axiom,
! [A: $i] :
( ( cC96 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
thf(256,plain,
! [A: $i] :
( ( ( cC96 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC96 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(80,axiom,
! [A: $i] :
( ( cC140 @ A )
<=> ( ( cTOP @ A )
& ( cC138 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(489,plain,
! [A: $i] :
( ( ( cC140 @ A )
=> ( ( cTOP @ A )
& ( cC138 @ A ) ) )
& ( ( ( cTOP @ A )
& ( cC138 @ A ) )
=> ( cC140 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(4,axiom,
! [A: $i] :
( ( cC130 @ A )
<=> ( ~ ( cC2 @ A )
& ~ ( cC128 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(96,plain,
! [A: $i] :
( ( ( cC130 @ A )
=> ( ~ ( cC2 @ A )
& ~ ( cC128 @ A ) ) )
& ( ( ~ ( cC2 @ A )
& ~ ( cC128 @ A ) )
=> ( cC130 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(50,axiom,
! [A: $i] :
( ( cC86 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(343,plain,
! [A: $i] :
( ( ( cC86 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC86 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(44,axiom,
~ ( cC30 @ iV5478 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
thf(311,plain,
~ ( cC30 @ iV5478 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(41,axiom,
! [A: $i] :
( ( cC4 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(298,plain,
! [A: $i] :
( ( ( cC4 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(18,axiom,
! [A: $i] :
( ( cC22 @ A )
<=> ( ~ ( cC20 @ A )
& ~ ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(180,plain,
! [A: $i] :
( ( ( cC22 @ A )
=> ( ~ ( cC20 @ A )
& ~ ( cC2 @ A ) ) )
& ( ( ~ ( cC20 @ A )
& ~ ( cC2 @ A ) )
=> ( cC22 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(40,axiom,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ~ ( cC28 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
thf(296,plain,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ~ ( cC28 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(58,axiom,
! [A: $i] :
( ( cC80 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC78 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(391,plain,
! [A: $i] :
( ( ( cC80 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC78 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC78 @ B ) )
=> ( cC80 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(45,axiom,
! [A: $i] :
( ( cC24 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(313,plain,
! [A: $i] :
( ( ( cC24 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC22 @ B ) )
=> ( cC24 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(12,axiom,
! [A: $i] :
( ( cC118 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(144,plain,
! [A: $i] :
( ( ( cC118 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC118 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(83,axiom,
cowlThing @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
thf(498,plain,
cowlThing @ iV5475,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(28,axiom,
! [A: $i] :
( ( cC106 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC104 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(236,plain,
! [A: $i] :
( ( ( cC106 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC104 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC104 @ B ) )
=> ( cC106 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(54,axiom,
! [A: $i] :
( ( cC20 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC18 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(367,plain,
! [A: $i] :
( ( ( cC20 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC18 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC18 @ B ) )
=> ( cC20 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(21,axiom,
! [A: $i] :
( ( cC88 @ A )
<=> ( ( cC86 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(198,plain,
! [A: $i] :
( ( ( cC88 @ A )
=> ( ( cC86 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC86 @ A )
& ( cC2 @ A ) )
=> ( cC88 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(6,axiom,
! [A: $i] :
( ( cC100 @ A )
<=> ( ~ ( cC98 @ A )
& ( cC94 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(108,plain,
! [A: $i] :
( ( ( cC100 @ A )
=> ( ~ ( cC98 @ A )
& ( cC94 @ A ) ) )
& ( ( ~ ( cC98 @ A )
& ( cC94 @ A ) )
=> ( cC100 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(72,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(462,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(15,axiom,
! [A: $i] :
( ( cC28 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(162,plain,
! [A: $i] :
( ( ( cC28 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC28 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(79,axiom,
~ ( cC114 @ iV5475 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
thf(487,plain,
~ ( cC114 @ iV5475 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(52,axiom,
! [A: $i] :
( ( cC46 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC44 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(355,plain,
! [A: $i] :
( ( ( cC46 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC44 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC44 @ B ) )
=> ( cC46 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(37,axiom,
! [A: $i] :
( ( cC120 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC118 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(282,plain,
! [A: $i] :
( ( ( cC120 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC118 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC118 @ B ) )
=> ( cC120 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(13,axiom,
! [A: $i] :
( ( cC18 @ A )
<=> ( ( cC16 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(150,plain,
! [A: $i] :
( ( ( cC18 @ A )
=> ( ( cC16 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC16 @ A )
& ( cC2 @ A ) )
=> ( cC18 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(61,axiom,
! [A: $i] :
( ( cC124 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(409,plain,
! [A: $i] :
( ( ( cC124 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC124 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(43,axiom,
cC2 @ iV5478,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
thf(310,plain,
cC2 @ iV5478,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(48,axiom,
! [A: $i] :
( ( cC14 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC12 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(331,plain,
! [A: $i] :
( ( ( cC14 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC12 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC12 @ B ) )
=> ( cC14 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(67,axiom,
! [A: $i] :
( ( cC132 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC130 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(441,plain,
! [A: $i] :
( ( ( cC132 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC130 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC130 @ B ) )
=> ( cC132 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(78,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(482,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(81,axiom,
! [A: $i] :
( ( rR1 @ iV5475 @ A )
=> ~ ( cC112 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
thf(495,plain,
! [A: $i] :
( ( rR1 @ iV5475 @ A )
=> ~ ( cC112 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(46,axiom,
! [A: $i] :
( ( cC76 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(319,plain,
! [A: $i] :
( ( ( cC76 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC76 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(42,axiom,
! [A: $i] :
( ( cC8 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(304,plain,
! [A: $i] :
( ( ( cC8 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC6 @ B ) )
=> ( cC8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(19,axiom,
! [A: $i] :
( ( cC104 @ A )
<=> ( ~ ( cC102 @ A )
& ( cC88 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(186,plain,
! [A: $i] :
( ( ( cC104 @ A )
=> ( ~ ( cC102 @ A )
& ( cC88 @ A ) ) )
& ( ( ~ ( cC102 @ A )
& ( cC88 @ A ) )
=> ( cC104 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [A: $i] :
( ( cC122 @ A )
<=> ( ~ ( cC2 @ A )
& ( cC120 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(114,plain,
! [A: $i] :
( ( ( cC122 @ A )
=> ( ~ ( cC2 @ A )
& ( cC120 @ A ) ) )
& ( ( ~ ( cC2 @ A )
& ( cC120 @ A ) )
=> ( cC122 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(68,axiom,
~ ( cC34 @ iV5478 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
thf(447,plain,
~ ( cC34 @ iV5478 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(55,axiom,
! [A: $i] :
( ( cC114 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC112 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(373,plain,
! [A: $i] :
( ( ( cC114 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC112 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC112 @ B ) )
=> ( cC114 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(16,axiom,
! [A: $i] :
( ( cC126 @ A )
<=> ( ( cC124 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(168,plain,
! [A: $i] :
( ( ( cC126 @ A )
=> ( ( cC124 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC124 @ A )
& ( cC2 @ A ) )
=> ( cC126 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(33,axiom,
! [A: $i] :
( ( cC32 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(262,plain,
! [A: $i] :
( ( ( cC32 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC2 @ B ) )
=> ( cC32 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(23,axiom,
! [A: $i] :
( ( cC34 @ A )
<=> ( ( cC30 @ A )
& ~ ( cC32 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(210,plain,
! [A: $i] :
( ( ( cC34 @ A )
=> ( ( cC30 @ A )
& ~ ( cC32 @ A ) ) )
& ( ( ( cC30 @ A )
& ~ ( cC32 @ A ) )
=> ( cC34 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(29,axiom,
! [A: $i] :
( ( cC102 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC100 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(242,plain,
! [A: $i] :
( ( ( cC102 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC100 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC100 @ B ) )
=> ( cC102 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(9,axiom,
! [A: $i] :
( ( cC66 @ A )
<=> ( ( cC64 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(126,plain,
! [A: $i] :
( ( ( cC66 @ A )
=> ( ( cC64 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC64 @ A )
& ( cC2 @ A ) )
=> ( cC66 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,axiom,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ~ ( cC10 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
thf(268,plain,
! [A: $i] :
( ( rR1 @ iV5478 @ A )
=> ~ ( cC10 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(75,axiom,
! [A: $i] :
( ( cC138 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC136 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(474,plain,
! [A: $i] :
( ( ( cC138 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC136 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC136 @ B ) )
=> ( cC138 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(62,axiom,
! [A: $i] :
( ( cC112 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC110 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(415,plain,
! [A: $i] :
( ( ( cC112 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC110 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ~ ( cC110 @ B ) )
=> ( cC112 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(3,axiom,
! [A: $i] :
( ( cC78 @ A )
<=> ( ( cC76 @ A )
& ( cC2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(90,plain,
! [A: $i] :
( ( ( cC78 @ A )
=> ( ( cC76 @ A )
& ( cC2 @ A ) ) )
& ( ( ( cC76 @ A )
& ( cC2 @ A ) )
=> ( cC78 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(31,axiom,
~ ( cC118 @ iV5478 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
thf(254,plain,
~ ( cC118 @ iV5478 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(49,axiom,
! [A: $i] :
( ( cC54 @ A )
<=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(337,plain,
! [A: $i] :
( ( ( cC54 @ A )
=> ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) ) )
& ( ? [B: $i] :
( ( rR1 @ A @ B )
& ( cC52 @ B ) )
=> ( cC54 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(25,axiom,
! [A: $i] :
( ( cC52 @ A )
<=> ( ( cC2 @ A )
& ( cC50 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(222,plain,
! [A: $i] :
( ( ( cC52 @ A )
=> ( ( cC2 @ A )
& ( cC50 @ A ) ) )
& ( ( ( cC2 @ A )
& ( cC50 @ A ) )
=> ( cC52 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(499,plain,
$false,
inference(e,[status(thm)],[385,204,230,455,497,290,427,138,468,481,276,449,120,379,174,288,421,325,228,216,84,480,397,132,248,270,102,349,192,429,467,361,435,461,156,403,256,489,96,343,311,298,180,296,391,313,144,498,236,367,198,108,462,162,487,355,282,150,409,310,331,441,482,495,319,304,186,114,447,373,168,262,210,242,126,268,474,415,90,254,337,222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 15:16:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.45/1.02 % [INFO] Parsing done (151ms).
% 1.45/1.02 % [INFO] Running in sequential loop mode.
% 1.90/1.23 % [INFO] eprover registered as external prover.
% 1.90/1.24 % [INFO] cvc4 registered as external prover.
% 1.90/1.24 % [INFO] Scanning for conjecture ...
% 2.00/1.31 % [INFO] Found a conjecture and 89 axioms. Running axiom selection ...
% 2.23/1.38 % [INFO] Axiom selection finished. Selected 81 axioms (removed 8 axioms).
% 2.43/1.43 % [INFO] Problem is first-order (TPTP FOF).
% 2.43/1.45 % [INFO] Type checking passed.
% 2.43/1.45 % [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 ...
% 5.28/2.27 % External prover 'e' found a proof!
% 5.28/2.27 % [INFO] Killing All external provers ...
% 5.28/2.27 % Time passed: 1734ms (effective reasoning time: 1245ms)
% 5.28/2.27 % 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)>
% 5.28/2.28 % Axioms used in derivation (81): axiom_38, axiom_27, axiom_64, axiom_1, axiom_53, axiom_75, axiom_26, axiom_55, axiom_88, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_77, axiom_44, axiom_49, axiom_15, axiom_73, axiom_67, axiom_69, axiom_21, axiom_19, axiom_84, axiom_2, axiom_79, axiom_32, axiom_6, axiom_60, axiom_78, axiom_54, axiom_16, axiom_81, axiom_74, axiom_3, axiom_68, axiom_46, axiom_20, axiom_85, axiom_70, axiom_42, axiom_31, axiom_24, axiom_61, axiom_35, axiom_28, axiom_71, axiom_65, axiom_36, axiom_39, axiom_80, axiom_17, axiom_86, axiom_5, axiom_47, axiom_13, axiom_82, axiom_41, axiom_25, axiom_76, axiom_52, axiom_34, axiom_0, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_56, axiom_30, axiom_23, axiom_18, axiom_87, axiom_12, axiom_9, axiom_48, axiom_83, axiom_14, axiom_72, axiom_4, axiom_66
% 5.28/2.28 % No. of inferences in proof: 166
% 5.28/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1734 ms resp. 1245 ms w/o parsing
% 5.58/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.58/2.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------