TSTP Solution File: KRS103+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 07:51:53 EDT 2024
% Result : Unsatisfiable 4.17s 2.01s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 81
% Syntax : Number of formulae : 139 ( 3 unt; 24 typ; 0 def)
% Number of atoms : 409 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 725 ( 23 ~; 180 |; 21 &; 408 @)
% ( 1 <=>; 92 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 2 con; 0-1 aty)
% Number of variables : 112 ( 0 ^ 112 !; 0 ?; 112 :)
% 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(cTest_type,type,
cTest: $i > $o ).
thf(cplus1_type,type,
cplus1: $i > $o ).
thf(cplus9_type,type,
cplus9: $i > $o ).
thf(cminus6_type,type,
cminus6: $i > $o ).
thf(cminus3_type,type,
cminus3: $i > $o ).
thf(cminus5_type,type,
cminus5: $i > $o ).
thf(cminus8_type,type,
cminus8: $i > $o ).
thf(cplus7_type,type,
cplus7: $i > $o ).
thf(cplus8_type,type,
cplus8: $i > $o ).
thf(cminus4_type,type,
cminus4: $i > $o ).
thf(cplus6_type,type,
cplus6: $i > $o ).
thf(cplus3_type,type,
cplus3: $i > $o ).
thf(cminus7_type,type,
cminus7: $i > $o ).
thf(cplus5_type,type,
cplus5: $i > $o ).
thf(cminus9_type,type,
cminus9: $i > $o ).
thf(cplus4_type,type,
cplus4: $i > $o ).
thf(cminus1_type,type,
cminus1: $i > $o ).
thf(cplus2_type,type,
cplus2: $i > $o ).
thf(cminus2_type,type,
cminus2: $i > $o ).
thf(i2003_11_14_17_20_46476_type,type,
i2003_11_14_17_20_46476: $i ).
thf(29,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(120,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cplus4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(40,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus3 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(142,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus3 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(54,axiom,
! [A: $i] :
~ ( ( cplus5 @ A )
& ( cminus5 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(174,plain,
! [A: $i] :
~ ( ( cplus5 @ A )
& ( cminus5 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(24,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(110,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus5 @ A )
| ( cminus7 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(102,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(15,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(92,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(47,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus5 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(156,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus5 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(28,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cminus5 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(118,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cminus5 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(55,axiom,
! [A: $i] :
~ ( ( cminus2 @ A )
& ( cplus2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(177,plain,
! [A: $i] :
~ ( ( cminus2 @ A )
& ( cplus2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(21,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(104,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(3,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus1 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(68,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus1 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(38,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(138,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cminus3 @ A )
| ( cplus1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(13,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(88,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(45,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(152,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(8,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus5 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(78,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus5 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(22,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(106,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus4 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(11,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(84,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus4 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(35,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(132,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus9 @ A )
| ( cplus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(27,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(116,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cminus5 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(6,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus6 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(74,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus6 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(70,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cminus5 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(51,axiom,
! [A: $i] :
~ ( ( cplus4 @ A )
& ( cminus4 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(165,plain,
! [A: $i] :
~ ( ( cplus4 @ A )
& ( cminus4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(31,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus1 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(124,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus1 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(17,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus6 @ A )
| ( cminus8 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(96,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus6 @ A )
| ( cminus8 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(36,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(134,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus8 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(128,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus8 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(43,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(148,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(56,axiom,
! [A: $i] :
~ ( ( cminus1 @ A )
& ( cplus1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(180,plain,
! [A: $i] :
~ ( ( cminus1 @ A )
& ( cplus1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(41,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cminus5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(144,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus3 @ A )
| ( cminus5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(12,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cplus6 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(86,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cplus6 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(49,axiom,
! [A: $i] :
~ ( ( cminus8 @ A )
& ( cplus8 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(159,plain,
! [A: $i] :
~ ( ( cminus8 @ A )
& ( cplus8 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(7,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(76,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cminus7 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(18,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus1 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(98,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus1 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(39,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(140,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(23,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(108,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(34,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(130,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cplus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(9,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(80,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus7 @ A )
| ( cplus9 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(50,axiom,
! [A: $i] :
~ ( ( cminus9 @ A )
& ( cplus9 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(162,plain,
! [A: $i] :
~ ( ( cminus9 @ A )
& ( cplus9 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(25,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(112,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus2 @ A )
| ( cminus5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(63,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(44,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(150,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cplus1 @ A )
| ( cminus6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(46,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(154,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cplus2 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(5,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(72,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus7 @ A )
| ( cplus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(48,axiom,
cTest @ i2003_11_14_17_20_46476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(158,plain,
cTest @ i2003_11_14_17_20_46476,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(26,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(114,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus3 @ A )
| ( cplus4 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(53,axiom,
! [A: $i] :
~ ( ( cplus3 @ A )
& ( cminus3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(171,plain,
! [A: $i] :
~ ( ( cplus3 @ A )
& ( cminus3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(58,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(82,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus9 @ A )
| ( cminus4 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(52,axiom,
! [A: $i] :
~ ( ( cminus7 @ A )
& ( cplus7 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(168,plain,
! [A: $i] :
~ ( ( cminus7 @ A )
& ( cplus7 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(42,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cplus1 @ A )
| ( cplus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(146,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus4 @ A )
| ( cplus1 @ A )
| ( cplus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(57,axiom,
! [A: $i] :
~ ( ( cplus6 @ A )
& ( cminus6 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(183,plain,
! [A: $i] :
~ ( ( cplus6 @ A )
& ( cminus6 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(16,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(94,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus3 @ A )
| ( cplus5 @ A )
| ( cminus8 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(32,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus8 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(126,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus8 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(37,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(136,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus1 @ A )
| ( cplus4 @ A )
| ( cplus2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cplus5 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(90,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cplus2 @ A )
| ( cplus5 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(30,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(122,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus4 @ A )
| ( cminus3 @ A )
| ( cminus7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(19,axiom,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cplus9 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(100,plain,
! [A: $i] :
( ( cTest @ A )
=> ( ( cminus2 @ A )
| ( cplus6 @ A )
| ( cplus9 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(186,plain,
$false,
inference(e,[status(thm)],[120,142,174,110,102,92,156,118,177,104,68,138,88,152,78,106,84,132,116,74,70,165,124,96,134,128,148,180,144,86,159,76,98,140,108,130,80,162,112,63,150,154,72,158,114,171,58,82,168,146,183,94,126,136,90,122,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS103+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n019.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 15:19:54 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.00 % [INFO] Parsing done (140ms).
% 1.27/1.01 % [INFO] Running in sequential loop mode.
% 1.82/1.22 % [INFO] eprover registered as external prover.
% 1.82/1.22 % [INFO] cvc4 registered as external prover.
% 1.82/1.22 % [INFO] Scanning for conjecture ...
% 1.94/1.26 % [INFO] 57 axioms and no conjecture found.
% 2.12/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.12/1.34 % [INFO] Type checking passed.
% 2.12/1.34 % [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 ...
% 4.17/2.00 % External prover 'e' found a proof!
% 4.17/2.00 % [INFO] Killing All external provers ...
% 4.17/2.00 % Time passed: 1469ms (effective reasoning time: 994ms)
% 4.17/2.01 % Axioms used in derivation (57): axiom_22, axiom_44, axiom_38, axiom_2, axiom_54, axiom_20, axiom_1, axiom_53, axiom_17, axiom_14, axiom_7, axiom_26, axiom_55, axiom_33, axiom_10, axiom_40, axiom_49, axiom_15, axiom_51, axiom_21, axiom_19, axiom_43, axiom_27, axiom_32, axiom_6, axiom_16, axiom_50, axiom_3, axiom_46, axiom_42, axiom_31, axiom_24, axiom_35, axiom_28, axiom_8, axiom_36, axiom_39, axiom_5, axiom_47, axiom_13, axiom_41, axiom_25, axiom_52, axiom_34, axiom_0, axiom_45, axiom_29, axiom_11, axiom_56, axiom_30, axiom_23, axiom_18, axiom_12, axiom_9, axiom_48, axiom_4, axiom_37
% 4.17/2.01 % No. of inferences in proof: 115
% 4.17/2.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1469 ms resp. 994 ms w/o parsing
% 4.17/2.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.17/2.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------