%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:44:45 AM UTC 2026
% Result : Theorem 10.21s 4.43s
% Output : Refutation 10.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 82
% Syntax : Number of formulae : 166 ( 27 unt; 0 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 : 0 ( 0 >; 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_decl,type,
cowlThing: $i > $o ).
thf(cowlNothing_decl,type,
cowlNothing: $i > $o ).
thf(xsd_string_decl,type,
xsd_string: $i > $o ).
thf(xsd_integer_decl,type,
xsd_integer: $i > $o ).
thf(cC138_decl,type,
cC138: $i > $o ).
thf(iV5475_decl,type,
iV5475: $i ).
thf(cC116_decl,type,
cC116: $i > $o ).
thf(cC140_decl,type,
cC140: $i > $o ).
thf(cC78_decl,type,
cC78: $i > $o ).
thf(cC76_decl,type,
cC76: $i > $o ).
thf(cC2_decl,type,
cC2: $i > $o ).
thf(cC130_decl,type,
cC130: $i > $o ).
thf(cC128_decl,type,
cC128: $i > $o ).
thf(cC98_decl,type,
cC98: $i > $o ).
thf(cC96_decl,type,
cC96: $i > $o ).
thf(cC100_decl,type,
cC100: $i > $o ).
thf(cC94_decl,type,
cC94: $i > $o ).
thf(cC122_decl,type,
cC122: $i > $o ).
thf(cC120_decl,type,
cC120: $i > $o ).
thf(cC70_decl,type,
cC70: $i > $o ).
thf(cC68_decl,type,
cC68: $i > $o ).
thf(cC66_decl,type,
cC66: $i > $o ).
thf(cC64_decl,type,
cC64: $i > $o ).
thf(cC26_decl,type,
cC26: $i > $o ).
thf(cC14_decl,type,
cC14: $i > $o ).
thf(cC24_decl,type,
cC24: $i > $o ).
thf(cC42_decl,type,
cC42: $i > $o ).
thf(cC40_decl,type,
cC40: $i > $o ).
thf(cC118_decl,type,
cC118: $i > $o ).
thf(rR1_decl,type,
rR1: $i > $i > $o ).
thf(cC18_decl,type,
cC18: $i > $o ).
thf(cC16_decl,type,
cC16: $i > $o ).
thf(cC6_decl,type,
cC6: $i > $o ).
thf(cC4_decl,type,
cC4: $i > $o ).
thf(cC28_decl,type,
cC28: $i > $o ).
thf(cC126_decl,type,
cC126: $i > $o ).
thf(cC124_decl,type,
cC124: $i > $o ).
thf(cC92_decl,type,
cC92: $i > $o ).
thf(cC90_decl,type,
cC90: $i > $o ).
thf(cC22_decl,type,
cC22: $i > $o ).
thf(cC20_decl,type,
cC20: $i > $o ).
thf(cC104_decl,type,
cC104: $i > $o ).
thf(cC102_decl,type,
cC102: $i > $o ).
thf(cC88_decl,type,
cC88: $i > $o ).
thf(cC134_decl,type,
cC134: $i > $o ).
thf(cC132_decl,type,
cC132: $i > $o ).
thf(cC86_decl,type,
cC86: $i > $o ).
thf(cC56_decl,type,
cC56: $i > $o ).
thf(cC54_decl,type,
cC54: $i > $o ).
thf(cC34_decl,type,
cC34: $i > $o ).
thf(cC30_decl,type,
cC30: $i > $o ).
thf(cC32_decl,type,
cC32: $i > $o ).
thf(cC10_decl,type,
cC10: $i > $o ).
thf(cC8_decl,type,
cC8: $i > $o ).
thf(cC52_decl,type,
cC52: $i > $o ).
thf(cC50_decl,type,
cC50: $i > $o ).
thf(iV5478_decl,type,
iV5478: $i ).
thf(cC106_decl,type,
cC106: $i > $o ).
thf(cC12_decl,type,
cC12: $i > $o ).
thf(cC82_decl,type,
cC82: $i > $o ).
thf(cC80_decl,type,
cC80: $i > $o ).
thf(cC72_decl,type,
cC72: $i > $o ).
thf(cC46_decl,type,
cC46: $i > $o ).
thf(cC44_decl,type,
cC44: $i > $o ).
thf(cC114_decl,type,
cC114: $i > $o ).
thf(cC112_decl,type,
cC112: $i > $o ).
thf(cC136_decl,type,
cC136: $i > $o ).
thf(cC58_decl,type,
cC58: $i > $o ).
thf(cC110_decl,type,
cC110: $i > $o ).
thf(cC36_decl,type,
cC36: $i > $o ).
thf(cTEST_decl,type,
cTEST: $i > $o ).
thf(cTOP_decl,type,
cTOP: $i > $o ).
thf(iV5476_decl,type,
iV5476: $i ).
thf(50,axiom,
! [A: $i] :
( ( A @ cC86 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(384,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC86 ) )
& ( ( A @ cC86 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ cC22 )
<=> ( ~ ( A @ cC2 )
& ~ ( A @ cC20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(196,plain,
! [A: $i] :
( ( ( ~ ( A @ cC2 )
& ~ ( A @ cC20 ) )
=> ( A @ cC22 ) )
& ( ( A @ cC22 )
=> ( ~ ( A @ cC2 )
& ~ ( A @ cC20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ cC76 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(356,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC76 ) )
& ( ( A @ cC76 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ cC8 )
<=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(339,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC8 ) )
& ( ( A @ cC8 )
=> ? [B: $i] :
( ( B @ cC6 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(31,axiom,
~ ( iV5478 @ cC118 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
thf(282,plain,
~ ( iV5478 @ cC118 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(44,axiom,
~ ( iV5478 @ cC30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(347,plain,
~ ( iV5478 @ cC30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ cC112 )
<=> ? [B: $i] :
( ~ ( B @ cC110 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(468,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC110 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC112 ) )
& ( ( A @ cC112 )
=> ? [B: $i] :
( ~ ( B @ cC110 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ cC88 )
<=> ( ( A @ cC2 )
& ( A @ cC86 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(217,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC86 ) )
=> ( A @ cC88 ) )
& ( ( A @ cC88 )
=> ( ( A @ cC2 )
& ( A @ cC86 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ cC80 )
<=> ? [B: $i] :
( ( B @ cC78 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(440,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC78 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC80 ) )
& ( ( A @ cC80 )
=> ? [B: $i] :
( ( B @ cC78 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ cC92 )
<=> ( ( A @ cC90 )
& ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(189,plain,
! [A: $i] :
( ( ( ( A @ cC90 )
& ( A @ cC2 ) )
=> ( A @ cC92 ) )
& ( ( A @ cC92 )
=> ( ( A @ cC90 )
& ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ cC96 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(284,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC96 ) )
& ( ( A @ cC96 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ cC106 )
<=> ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(261,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC106 ) )
& ( ( A @ cC106 )
=> ? [B: $i] :
( ( B @ cC104 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(63,axiom,
! [A: $i] :
( ( A @ cC36 )
<=> ? [B: $i] :
( ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(475,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC36 ) )
& ( ( A @ cC36 )
=> ? [B: $i] :
( ( B @ cC34 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(38,axiom,
~ ( iV5478 @ cC12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(321,plain,
~ ( iV5478 @ cC12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ cC10 )
<=> ( ~ ( A @ cC2 )
& ~ ( A @ cC8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(238,plain,
! [A: $i] :
( ( ( ~ ( A @ cC2 )
& ~ ( A @ cC8 ) )
=> ( A @ cC10 ) )
& ( ( A @ cC10 )
=> ( ~ ( A @ cC2 )
& ~ ( A @ cC8 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ cTEST )
<=> ( ( A @ cC116 )
& ( A @ cC140 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
thf(514,plain,
! [A: $i] :
( ( ( ( A @ cC116 )
& ( A @ cC140 ) )
=> ( A @ cTEST ) )
& ( ( A @ cTEST )
=> ( ( A @ cC116 )
& ( A @ cC140 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(1,conjecture,
( ( iV5475 @ cC140 )
& ( iV5475 @ cC116 )
& ( iV5475 @ cowlThing )
& ( iV5475 @ cC138 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ( iV5475 @ cC140 )
& ( iV5475 @ cC116 )
& ( iV5475 @ cowlThing )
& ( iV5475 @ cC138 )
& ! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(84,plain,
~ ( ( iV5475 @ cC140 )
& ( iV5475 @ cC116 )
& ( iV5475 @ cowlThing )
& ( iV5475 @ cC138 )
& ! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) )
& ! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ cC42 )
<=> ( ( A @ cC40 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(147,plain,
! [A: $i] :
( ( ( ( A @ cC40 )
& ~ ( A @ cC2 ) )
=> ( A @ cC42 ) )
& ( ( A @ cC42 )
=> ( ( A @ cC40 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ cC66 )
<=> ( ( A @ cC2 )
& ( A @ cC64 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(133,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC64 ) )
=> ( A @ cC66 ) )
& ( ( A @ cC66 )
=> ( ( A @ cC2 )
& ( A @ cC64 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ cC50 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(507,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC50 ) )
& ( ( A @ cC50 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ cC30 )
<=> ? [B: $i] :
( ( B @ cC28 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(307,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC28 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC30 ) )
& ( ( A @ cC30 )
=> ? [B: $i] :
( ( B @ cC28 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ cC116 )
<=> ( ~ ( A @ cC114 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(529,plain,
! [A: $i] :
( ( ( ~ ( A @ cC114 )
& ( A @ cTOP ) )
=> ( A @ cC116 ) )
& ( ( A @ cC116 )
=> ( ~ ( A @ cC114 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ cC24 )
<=> ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(349,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC24 ) )
& ( ( A @ cC24 )
=> ? [B: $i] :
( ( B @ cC22 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ cC68 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(275,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC68 ) )
& ( ( A @ cC68 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(65,axiom,
! [A: $i] :
( ( A @ cC40 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(484,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC40 ) )
& ( ( A @ cC40 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ( A @ cC2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
thf(252,plain,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ( A @ cC2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(72,axiom,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(522,plain,
! [A: $i] :
( ~ ( A @ cowlNothing )
& ( A @ cowlThing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ cC124 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(461,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC124 ) )
& ( ( A @ cC124 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(79,axiom,
~ ( iV5475 @ cC114 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(551,plain,
~ ( iV5475 @ cC114 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ cC56 )
<=> ( ~ ( A @ cC2 )
& ~ ( A @ cC54 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(224,plain,
! [A: $i] :
( ( ( ~ ( A @ cC2 )
& ~ ( A @ cC54 ) )
=> ( A @ cC56 ) )
& ( ( A @ cC56 )
=> ( ~ ( A @ cC2 )
& ~ ( A @ cC54 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ cC98 )
<=> ( ( A @ cC2 )
& ( A @ cC96 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(105,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC96 ) )
=> ( A @ cC98 ) )
& ( ( A @ cC98 )
=> ( ( A @ cC2 )
& ( A @ cC96 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ cC46 )
<=> ? [B: $i] :
( ~ ( B @ cC44 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(398,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC44 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC46 ) )
& ( ( A @ cC46 )
=> ? [B: $i] :
( ~ ( B @ cC44 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ~ ( A @ cC10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
thf(298,plain,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ~ ( A @ cC10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ cC20 )
<=> ? [B: $i] :
( ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(412,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC20 ) )
& ( ( A @ cC20 )
=> ? [B: $i] :
( ( B @ cC18 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ cC18 )
<=> ( ( A @ cC2 )
& ( A @ cC16 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(161,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC16 ) )
=> ( A @ cC18 ) )
& ( ( A @ cC18 )
=> ( ( A @ cC2 )
& ( A @ cC16 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(82,axiom,
iV5475 @ cTEST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
thf(562,plain,
iV5475 @ cTEST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ cC32 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(291,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC32 ) )
& ( ( A @ cC32 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ xsd_string )
<=> ~ ( A @ xsd_integer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(545,plain,
! [A: $i] :
( ( ~ ( A @ xsd_integer )
=> ( A @ xsd_string ) )
& ( ( A @ xsd_string )
=> ~ ( A @ xsd_integer ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(51,axiom,
! [A: $i] :
( ( A @ cC16 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(391,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC16 ) )
& ( ( A @ cC16 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ cC132 )
<=> ? [B: $i] :
( ( B @ cC130 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(498,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC130 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC132 ) )
& ( ( A @ cC132 )
=> ? [B: $i] :
( ( B @ cC130 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ cC114 )
<=> ? [B: $i] :
( ( B @ cC112 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(419,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC112 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC114 ) )
& ( ( A @ cC114 )
=> ? [B: $i] :
( ( B @ cC112 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ cC54 )
<=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(377,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC54 ) )
& ( ( A @ cC54 )
=> ? [B: $i] :
( ( B @ cC52 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ cC52 )
<=> ( ( A @ cC50 )
& ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(245,plain,
! [A: $i] :
( ( ( ( A @ cC50 )
& ( A @ cC2 ) )
=> ( A @ cC52 ) )
& ( ( A @ cC52 )
=> ( ( A @ cC50 )
& ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ cC130 )
<=> ( ~ ( A @ cC128 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(98,plain,
! [A: $i] :
( ( ( ~ ( A @ cC128 )
& ~ ( A @ cC2 ) )
=> ( A @ cC130 ) )
& ( ( A @ cC130 )
=> ( ~ ( A @ cC128 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ cC82 )
<=> ? [B: $i] :
( ~ ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(323,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC82 ) )
& ( ( A @ cC82 )
=> ? [B: $i] :
( ~ ( B @ cC80 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ cC26 )
<=> ( ~ ( A @ cC24 )
& ( A @ cC14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(140,plain,
! [A: $i] :
( ( ( ~ ( A @ cC24 )
& ( A @ cC14 ) )
=> ( A @ cC26 ) )
& ( ( A @ cC26 )
=> ( ~ ( A @ cC24 )
& ( A @ cC14 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ cC78 )
<=> ( ( A @ cC2 )
& ( A @ cC76 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(91,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC76 ) )
=> ( A @ cC78 ) )
& ( ( A @ cC78 )
=> ( ( A @ cC2 )
& ( A @ cC76 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ~ ( A @ cC28 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
thf(330,plain,
! [A: $i] :
( ( A @ ( iV5478 @ rR1 ) )
=> ~ ( A @ cC28 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(71,axiom,
iV5475 @ cTOP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(521,plain,
iV5475 @ cTOP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(83,axiom,
iV5475 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
thf(563,plain,
iV5475 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(68,axiom,
~ ( iV5478 @ cC34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(505,plain,
~ ( iV5478 @ cC34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(56,axiom,
! [A: $i] :
( ( A @ cC94 )
<=> ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(426,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC94 ) )
& ( ( A @ cC94 )
=> ? [B: $i] :
( ( B @ cC92 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ cC100 )
<=> ( ( A @ cC94 )
& ~ ( A @ cC98 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(112,plain,
! [A: $i] :
( ( ( ( A @ cC94 )
& ~ ( A @ cC98 ) )
=> ( A @ cC100 ) )
& ( ( A @ cC100 )
=> ( ( A @ cC94 )
& ~ ( A @ cC98 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ cC140 )
<=> ( ( A @ cC138 )
& ( A @ cTOP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(553,plain,
! [A: $i] :
( ( ( ( A @ cC138 )
& ( A @ cTOP ) )
=> ( A @ cC140 ) )
& ( ( A @ cC140 )
=> ( ( A @ cC138 )
& ( A @ cTOP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ cC126 )
<=> ( ( A @ cC2 )
& ( A @ cC124 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(182,plain,
! [A: $i] :
( ( ( ( A @ cC2 )
& ( A @ cC124 ) )
=> ( A @ cC126 ) )
& ( ( A @ cC126 )
=> ( ( A @ cC2 )
& ( A @ cC124 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ cC14 )
<=> ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(370,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC14 ) )
& ( ( A @ cC14 )
=> ? [B: $i] :
( ( B @ cC12 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(77,axiom,
iV5478 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
thf(544,plain,
iV5478 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ cC118 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(154,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC118 ) )
& ( ( A @ cC118 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ cC28 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(175,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC28 ) )
& ( ( A @ cC28 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ cC120 )
<=> ? [B: $i] :
( ~ ( B @ cC118 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(314,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC118 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC120 ) )
& ( ( A @ cC120 )
=> ? [B: $i] :
( ~ ( B @ cC118 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ cC34 )
<=> ( ~ ( A @ cC32 )
& ( A @ cC30 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(231,plain,
! [A: $i] :
( ( ( ~ ( A @ cC32 )
& ( A @ cC30 ) )
=> ( A @ cC34 ) )
& ( ( A @ cC34 )
=> ( ~ ( A @ cC32 )
& ( A @ cC30 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ cC72 )
<=> ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(363,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC72 ) )
& ( ( A @ cC72 )
=> ? [B: $i] :
( ( B @ cC70 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(64,axiom,
~ ( iV5478 @ cC130 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
thf(482,plain,
~ ( iV5478 @ cC130 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(19,axiom,
! [A: $i] :
( ( A @ cC104 )
<=> ( ( A @ cC88 )
& ~ ( A @ cC102 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(203,plain,
! [A: $i] :
( ( ( ( A @ cC88 )
& ~ ( A @ cC102 ) )
=> ( A @ cC104 ) )
& ( ( A @ cC104 )
=> ( ( A @ cC88 )
& ~ ( A @ cC102 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ cC122 )
<=> ( ( A @ cC120 )
& ~ ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(119,plain,
! [A: $i] :
( ( ( ( A @ cC120 )
& ~ ( A @ cC2 ) )
=> ( A @ cC122 ) )
& ( ( A @ cC122 )
=> ( ( A @ cC120 )
& ~ ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ cC136 )
<=> ? [B: $i] :
( ( B @ cC134 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(433,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC134 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC136 ) )
& ( ( A @ cC136 )
=> ? [B: $i] :
( ( B @ cC134 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(43,axiom,
iV5478 @ cC2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
thf(346,plain,
iV5478 @ cC2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(75,axiom,
! [A: $i] :
( ( A @ cC138 )
<=> ? [B: $i] :
( ( B @ cC136 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(536,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC136 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC138 ) )
& ( ( A @ cC138 )
=> ? [B: $i] :
( ( B @ cC136 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ cC12 )
<=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(300,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC12 ) )
& ( ( A @ cC12 )
=> ? [B: $i] :
( ( B @ cC10 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(59,axiom,
! [A: $i] :
( ( A @ cC44 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(447,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC44 ) )
& ( ( A @ cC44 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ cC6 )
<=> ( ( A @ cC4 )
& ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(168,plain,
! [A: $i] :
( ( ( ( A @ cC4 )
& ( A @ cC2 ) )
=> ( A @ cC6 ) )
& ( ( A @ cC6 )
=> ( ( A @ cC4 )
& ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(53,axiom,
! [A: $i] :
( ( A @ cC90 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(405,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC90 ) )
& ( ( A @ cC90 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ cC134 )
<=> ( ~ ( A @ cC132 )
& ( A @ cC122 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(210,plain,
! [A: $i] :
( ( ( ~ ( A @ cC132 )
& ( A @ cC122 ) )
=> ( A @ cC134 ) )
& ( ( A @ cC134 )
=> ( ~ ( A @ cC132 )
& ( A @ cC122 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ cC70 )
<=> ( ( A @ cC68 )
& ( A @ cC2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(126,plain,
! [A: $i] :
( ( ( ( A @ cC68 )
& ( A @ cC2 ) )
=> ( A @ cC70 ) )
& ( ( A @ cC70 )
=> ( ( A @ cC68 )
& ( A @ cC2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ cC102 )
<=> ? [B: $i] :
( ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(268,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC102 ) )
& ( ( A @ cC102 )
=> ? [B: $i] :
( ( B @ cC100 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ cC4 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(332,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC4 ) )
& ( ( A @ cC4 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(73,axiom,
iV5476 @ cowlThing,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
thf(528,plain,
iV5476 @ cowlThing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ cC64 )
<=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(254,plain,
! [A: $i] :
( ( ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC64 ) )
& ( ( A @ cC64 )
=> ? [B: $i] :
( ~ ( B @ cC2 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(76,axiom,
iV5476 @ ( iV5475 @ rR1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
thf(543,plain,
iV5476 @ ( iV5475 @ rR1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(81,axiom,
! [A: $i] :
( ( A @ ( iV5475 @ rR1 ) )
=> ~ ( A @ cC112 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
thf(560,plain,
! [A: $i] :
( ( A @ ( iV5475 @ rR1 ) )
=> ~ ( A @ cC112 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(66,axiom,
! [A: $i] :
( ( A @ cC128 )
<=> ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(491,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC128 ) )
& ( ( A @ cC128 )
=> ? [B: $i] :
( ( B @ cC126 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ cC58 )
<=> ? [B: $i] :
( ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(454,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) )
=> ( A @ cC58 ) )
& ( ( A @ cC58 )
=> ? [B: $i] :
( ( B @ cC56 )
& ( B @ ( A @ rR1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(564,plain,
$false,
inference(e,[status(thm)],[384,196,356,339,282,347,468,217,440,189,284,261,475,321,238,514,84,147,133,507,307,529,349,275,484,252,522,461,551,224,105,398,298,412,161,562,291,545,391,498,419,377,245,98,323,140,91,330,521,563,505,426,112,553,182,370,544,154,175,314,231,363,482,203,119,433,346,536,300,447,168,405,210,126,268,332,528,254,543,560,491,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.13 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.25/0.52 % Computer : n009.cluster.edu
% 0.25/0.52 % Model : x86_64 x86_64
% 0.25/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.52 % Memory : 8046.5625MB
% 0.25/0.52 % OS : Linux 6.8.0-71-generic
% 0.25/0.52 % CPULimit : 300
% 0.25/0.52 % WCLimit : 300
% 0.25/0.52 % DateTime : Fri Sep 25 19:41:29 UTC 2026
% 0.25/0.53 % CPUTime :
% 0.25/0.53 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.30/1.26 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.84/1.53 % [INFO] Parsing done (269ms).
% 1.84/1.54 % [INFO] Running in sequential loop mode.
% 3.10/1.91 % [INFO] eprover registered as external prover.
% 3.10/1.92 % [INFO] Scanning for conjecture ...
% 3.39/2.10 % [INFO] Found a conjecture (or negated_conjecture) and 89 axioms. Running axiom selection ...
% 3.70/2.23 % [INFO] Axiom selection finished. Selected 81 axioms (removed 8 axioms).
% 3.94/2.35 % [INFO] Problem is first-order (TPTP FOF).
% 3.94/2.37 % [INFO] Type checking passed.
% 3.94/2.38 % [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 ...
% 10.21/4.42 % External prover 'e' found a proof!
% 10.21/4.42 % [INFO] Killing All external provers ...
% 10.21/4.43 % Time passed: 3686ms (effective reasoning time: 2876ms)
% 10.21/4.43 % 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)>
% 10.21/4.43 % 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
% 10.21/4.43 % No. of inferences in proof: 166
% 10.21/4.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3686 ms resp. 2876 ms w/o parsing
% 10.62/4.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.62/4.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------