TSTP Solution File: KRS012-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.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 : 600s
% DateTime : Sun Jul 17 03:14:13 EDT 2022
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 109 ( 52 unt; 9 typ; 0 def)
% Number of atoms : 565 ( 147 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 703 ( 104 ~; 171 |; 0 &; 428 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 0 ^ 117 !; 0 ?; 117 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c,type,
c: $i > $o ).
thf(tp_d,type,
d: $i > $o ).
thf(tp_e,type,
e: $i > $o ).
thf(tp_exists,type,
exists: $i ).
thf(tp_f,type,
f: $i > $o ).
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_u0r1,type,
u0r1: $i > $i ).
thf(tp_u0r2,type,
u0r2: $i > $i ).
thf(tp_u1r1,type,
u1r1: $i > $i ).
thf(1,axiom,
! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u1r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
thf(2,axiom,
! [X1: $i] :
( ( f @ X1 )
| ~ ( e @ ( u1r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
thf(3,axiom,
! [X2: $i,X1: $i] :
( ( e @ X2 )
| ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
thf(4,axiom,
! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ( r @ X1 @ ( u0r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
thf(5,axiom,
! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ( d @ ( u0r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
thf(6,axiom,
! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
thf(7,axiom,
! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
thf(8,axiom,
! [X1: $i] :
( ( c @ X1 )
| ( d @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
thf(9,axiom,
! [X1: $i] :
( ( c @ X1 )
| ~ ( d @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
thf(10,axiom,
! [X2: $i,X1: $i] :
( ( d @ X2 )
| ~ ( c @ X1 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(11,axiom,
! [X3: $i,X1: $i] :
( ( e @ X3 )
| ~ ( c @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( d @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(12,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(13,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,negated_conjecture,
~ ( f @ exists ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(15,negated_conjecture,
c @ exists,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(16,plain,
$false = $false,
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ~ ( e @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
( ( ! [X2: $i,X1: $i] :
( ( e @ X2 )
| ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ( r @ X1 @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ( d @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( d @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ~ ( d @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( ! [X2: $i,X1: $i] :
( ( d @ X2 )
| ~ ( c @ X1 )
| ~ ( r @ X1 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( ! [X3: $i,X1: $i] :
( ( e @ X3 )
| ~ ( c @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( d @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
( ( ~ ( f @ exists ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(29,plain,
( ( c @ exists )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(31,plain,
( ( ! [X2: $i] :
( ( e @ X2 )
| ! [X1: $i] :
( ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(32,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( d @ ( u0r2 @ X1 ) )
| ( r @ X1 @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(33,plain,
( ( ! [X2: $i] :
( ( d @ X2 )
| ! [X1: $i] :
( ~ ( c @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(34,plain,
( ( ! [X3: $i] :
( ( e @ X3 )
| ! [X1: $i] :
( ~ ( c @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( d @ X3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(35,plain,
( ( c @ exists )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( f @ exists ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(37,plain,
( ( ! [X3: $i] :
( ( e @ X3 )
| ! [X1: $i] :
( ~ ( c @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( d @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(38,plain,
( ( ! [X2: $i] :
( ( d @ X2 )
| ! [X1: $i] :
( ~ ( c @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(39,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ~ ( d @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(40,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( d @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(41,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r2 @ X1 ) )
| ~ ( d @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(42,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ~ ( e @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(43,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( d @ ( u0r2 @ X1 ) )
| ( r @ X1 @ ( u0r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(44,plain,
( ( ! [X1: $i] :
( ( c @ X1 )
| ( r @ X1 @ ( u0r1 @ X1 ) )
| ( r @ X1 @ ( u0r2 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(45,plain,
( ( ! [X2: $i] :
( ( e @ X2 )
| ! [X1: $i] :
( ~ ( f @ X1 )
| ~ ( r @ X1 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(46,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ~ ( e @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(47,plain,
( ( ! [X1: $i] :
( ( f @ X1 )
| ( r @ X1 @ ( u1r1 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(48,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(49,plain,
( ( f @ exists )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(50,plain,
! [SV1: $i] :
( ( ( e @ SV1 )
| ! [SY14: $i] :
( ~ ( c @ SY14 )
| ~ ( r @ SY14 @ SV1 )
| ~ ( d @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(51,plain,
! [SV2: $i] :
( ( ( d @ SV2 )
| ! [SY15: $i] :
( ~ ( c @ SY15 )
| ~ ( r @ SY15 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( c @ SV3 )
| ~ ( d @ ( u0r1 @ SV3 ) )
| ~ ( e @ ( u0r2 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(53,plain,
! [SV4: $i] :
( ( ( c @ SV4 )
| ( d @ ( u0r2 @ SV4 ) )
| ~ ( d @ ( u0r1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( c @ SV5 )
| ( r @ SV5 @ ( u0r2 @ SV5 ) )
| ~ ( d @ ( u0r1 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(55,plain,
! [SV6: $i] :
( ( ( c @ SV6 )
| ( r @ SV6 @ ( u0r1 @ SV6 ) )
| ~ ( e @ ( u0r2 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(56,plain,
! [SV7: $i] :
( ( ( c @ SV7 )
| ( d @ ( u0r2 @ SV7 ) )
| ( r @ SV7 @ ( u0r1 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(57,plain,
! [SV8: $i] :
( ( ( c @ SV8 )
| ( r @ SV8 @ ( u0r1 @ SV8 ) )
| ( r @ SV8 @ ( u0r2 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(58,plain,
! [SV9: $i] :
( ( ( e @ SV9 )
| ! [SY16: $i] :
( ~ ( f @ SY16 )
| ~ ( r @ SY16 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV10: $i] :
( ( ( f @ SV10 )
| ~ ( e @ ( u1r1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(60,plain,
! [SV11: $i] :
( ( ( f @ SV11 )
| ( r @ SV11 @ ( u1r1 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(61,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(62,plain,
! [SV1: $i] :
( ( ( e @ SV1 )
= $true )
| ( ( ! [SY14: $i] :
( ~ ( c @ SY14 )
| ~ ( r @ SY14 @ SV1 )
| ~ ( d @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( d @ SV2 )
= $true )
| ( ( ! [SY15: $i] :
( ~ ( c @ SY15 )
| ~ ( r @ SY15 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(64,plain,
! [SV3: $i] :
( ( ( c @ SV3 )
= $true )
| ( ( ~ ( d @ ( u0r1 @ SV3 ) )
| ~ ( e @ ( u0r2 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV4: $i] :
( ( ( c @ SV4 )
= $true )
| ( ( ( d @ ( u0r2 @ SV4 ) )
| ~ ( d @ ( u0r1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(66,plain,
! [SV5: $i] :
( ( ( c @ SV5 )
= $true )
| ( ( ( r @ SV5 @ ( u0r2 @ SV5 ) )
| ~ ( d @ ( u0r1 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV6: $i] :
( ( ( c @ SV6 )
= $true )
| ( ( ( r @ SV6 @ ( u0r1 @ SV6 ) )
| ~ ( e @ ( u0r2 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV7: $i] :
( ( ( c @ SV7 )
= $true )
| ( ( ( d @ ( u0r2 @ SV7 ) )
| ( r @ SV7 @ ( u0r1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV8: $i] :
( ( ( c @ SV8 )
= $true )
| ( ( ( r @ SV8 @ ( u0r1 @ SV8 ) )
| ( r @ SV8 @ ( u0r2 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV9: $i] :
( ( ( e @ SV9 )
= $true )
| ( ( ! [SY16: $i] :
( ~ ( f @ SY16 )
| ~ ( r @ SY16 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(71,plain,
! [SV10: $i] :
( ( ( f @ SV10 )
= $true )
| ( ( ~ ( e @ ( u1r1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV11: $i] :
( ( ( f @ SV11 )
= $true )
| ( ( r @ SV11 @ ( u1r1 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV1: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 )
| ~ ( r @ SV12 @ SV1 )
| ~ ( d @ SV1 ) )
= $true )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV2: $i,SV13: $i] :
( ( ( ~ ( c @ SV13 )
| ~ ( r @ SV13 @ SV2 ) )
= $true )
| ( ( d @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV3: $i] :
( ( ( ~ ( d @ ( u0r1 @ SV3 ) ) )
= $true )
| ( ( ~ ( e @ ( u0r2 @ SV3 ) ) )
= $true )
| ( ( c @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( d @ ( u0r2 @ SV4 ) )
= $true )
| ( ( ~ ( d @ ( u0r1 @ SV4 ) ) )
= $true )
| ( ( c @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV5: $i] :
( ( ( r @ SV5 @ ( u0r2 @ SV5 ) )
= $true )
| ( ( ~ ( d @ ( u0r1 @ SV5 ) ) )
= $true )
| ( ( c @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( r @ SV6 @ ( u0r1 @ SV6 ) )
= $true )
| ( ( ~ ( e @ ( u0r2 @ SV6 ) ) )
= $true )
| ( ( c @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV7: $i] :
( ( ( d @ ( u0r2 @ SV7 ) )
= $true )
| ( ( r @ SV7 @ ( u0r1 @ SV7 ) )
= $true )
| ( ( c @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV8: $i] :
( ( ( r @ SV8 @ ( u0r1 @ SV8 ) )
= $true )
| ( ( r @ SV8 @ ( u0r2 @ SV8 ) )
= $true )
| ( ( c @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV9: $i,SV14: $i] :
( ( ( ~ ( f @ SV14 )
| ~ ( r @ SV14 @ SV9 ) )
= $true )
| ( ( e @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV10: $i] :
( ( ( e @ ( u1r1 @ SV10 ) )
= $false )
| ( ( f @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV1: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 ) )
= $true )
| ( ( ~ ( r @ SV12 @ SV1 )
| ~ ( d @ SV1 ) )
= $true )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV2: $i,SV13: $i] :
( ( ( ~ ( c @ SV13 ) )
= $true )
| ( ( ~ ( r @ SV13 @ SV2 ) )
= $true )
| ( ( d @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV3: $i] :
( ( ( d @ ( u0r1 @ SV3 ) )
= $false )
| ( ( ~ ( e @ ( u0r2 @ SV3 ) ) )
= $true )
| ( ( c @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV4: $i] :
( ( ( d @ ( u0r1 @ SV4 ) )
= $false )
| ( ( d @ ( u0r2 @ SV4 ) )
= $true )
| ( ( c @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV5: $i] :
( ( ( d @ ( u0r1 @ SV5 ) )
= $false )
| ( ( r @ SV5 @ ( u0r2 @ SV5 ) )
= $true )
| ( ( c @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV6: $i] :
( ( ( e @ ( u0r2 @ SV6 ) )
= $false )
| ( ( r @ SV6 @ ( u0r1 @ SV6 ) )
= $true )
| ( ( c @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV9: $i,SV14: $i] :
( ( ( ~ ( f @ SV14 ) )
= $true )
| ( ( ~ ( r @ SV14 @ SV9 ) )
= $true )
| ( ( e @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(90,plain,
! [SV1: $i,SV12: $i] :
( ( ( c @ SV12 )
= $false )
| ( ( ~ ( r @ SV12 @ SV1 )
| ~ ( d @ SV1 ) )
= $true )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(91,plain,
! [SV2: $i,SV13: $i] :
( ( ( c @ SV13 )
= $false )
| ( ( ~ ( r @ SV13 @ SV2 ) )
= $true )
| ( ( d @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(92,plain,
! [SV3: $i] :
( ( ( e @ ( u0r2 @ SV3 ) )
= $false )
| ( ( d @ ( u0r1 @ SV3 ) )
= $false )
| ( ( c @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(93,plain,
! [SV9: $i,SV14: $i] :
( ( ( f @ SV14 )
= $false )
| ( ( ~ ( r @ SV14 @ SV9 ) )
= $true )
| ( ( e @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(94,plain,
! [SV1: $i,SV12: $i] :
( ( ( ~ ( r @ SV12 @ SV1 ) )
= $true )
| ( ( ~ ( d @ SV1 ) )
= $true )
| ( ( c @ SV12 )
= $false )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(95,plain,
! [SV2: $i,SV13: $i] :
( ( ( r @ SV13 @ SV2 )
= $false )
| ( ( c @ SV13 )
= $false )
| ( ( d @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV9: $i,SV14: $i] :
( ( ( r @ SV14 @ SV9 )
= $false )
| ( ( f @ SV14 )
= $false )
| ( ( e @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV1: $i,SV12: $i] :
( ( ( r @ SV12 @ SV1 )
= $false )
| ( ( ~ ( d @ SV1 ) )
= $true )
| ( ( c @ SV12 )
= $false )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(98,plain,
! [SV12: $i,SV1: $i] :
( ( ( d @ SV1 )
= $false )
| ( ( r @ SV12 @ SV1 )
= $false )
| ( ( c @ SV12 )
= $false )
| ( ( e @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(99,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[35,98,96,95,92,88,87,86,82,80,79,72,61,49]) ).
thf(100,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS012-1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Tue Jun 7 08:25:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32
% 0.11/0.32 No.of.Axioms: 13
% 0.11/0.32
% 0.11/0.32 Length.of.Defs: 0
% 0.11/0.32
% 0.11/0.32 Contains.Choice.Funs: false
% 0.11/0.33 (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:15,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.11/0.37
% 0.11/0.37 ********************************
% 0.11/0.37 * All subproblems solved! *
% 0.11/0.37 ********************************
% 0.11/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:99,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.37
% 0.11/0.37 %**** Beginning of derivation protocol ****
% 0.11/0.37 % SZS output start CNFRefutation
% See solution above
% 0.11/0.37
% 0.11/0.37 %**** End of derivation protocol ****
% 0.11/0.37 %**** no. of clauses in derivation: 100 ****
% 0.11/0.37 %**** clause counter: 99 ****
% 0.11/0.37
% 0.11/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:99,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------