TSTP Solution File: SYN065+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN065+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 : Thu Jul 21 08:23:14 EDT 2022
% Result : Theorem 0.22s 0.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 34 unt; 6 typ; 0 def)
% Number of atoms : 381 ( 90 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 689 ( 145 ~; 130 |; 6 &; 404 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 180 ( 0 ^ 171 !; 9 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_f,type,
big_f: $i > $i > $o ).
thf(tp_big_g,type,
big_g: $i > $i > $o ).
thf(tp_big_h,type,
big_h: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( ( big_f @ X @ Y )
| ( big_g @ X @ Y ) )
=> ! [Z: $i] :
( ( ( big_f @ Y @ Z )
| ( big_g @ Y @ Z ) )
=> ( big_h @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_3) ).
thf(2,axiom,
! [X: $i] :
? [Y: $i] : ( big_g @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_2) ).
thf(3,axiom,
! [X: $i] :
? [Y: $i] : ( big_f @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36_1) ).
thf(4,conjecture,
! [X: $i] :
? [Y: $i] : ( big_h @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel36) ).
thf(5,negated_conjecture,
( ( ! [X: $i] :
? [Y: $i] : ( big_h @ X @ Y ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ! [X: $i] :
? [Y: $i] : ( big_h @ X @ Y ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [X: $i,Y: $i] :
( ( ( big_f @ X @ Y )
| ( big_g @ X @ Y ) )
=> ! [Z: $i] :
( ( ( big_f @ Y @ Z )
| ( big_g @ Y @ Z ) )
=> ( big_h @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [X: $i] :
? [Y: $i] : ( big_g @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [X: $i] :
? [Y: $i] : ( big_f @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ? [SY9: $i] : ( big_h @ sK1_X @ SY9 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(11,plain,
( ( ~ ? [SY9: $i] : ( big_h @ sK1_X @ SY9 ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY9: $i] :
~ ( big_h @ sK1_X @ SY9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( big_f @ X @ Y )
| ( ! [Z: $i] :
( ~ ( big_f @ Y @ Z )
| ( big_h @ X @ Z ) )
& ! [Z: $i] :
( ~ ( big_g @ Y @ Z )
| ( big_h @ X @ Z ) ) ) )
& ! [X: $i,Y: $i] :
( ~ ( big_g @ X @ Y )
| ( ! [Z: $i] :
( ~ ( big_f @ Y @ Z )
| ( big_h @ X @ Z ) )
& ! [Z: $i] :
( ~ ( big_g @ Y @ Z )
| ( big_h @ X @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(14,plain,
( ( ! [X: $i] : ( big_g @ X @ ( sK2_Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(15,plain,
( ( ! [X: $i] : ( big_f @ X @ ( sK3_Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(16,plain,
( ( ! [X: $i] : ( big_f @ X @ ( sK3_Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [X: $i] : ( big_g @ X @ ( sK2_Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( big_f @ X @ Y )
| ( ! [Z: $i] :
( ~ ( big_f @ Y @ Z )
| ( big_h @ X @ Z ) )
& ! [Z: $i] :
( ~ ( big_g @ Y @ Z )
| ( big_h @ X @ Z ) ) ) )
& ! [X: $i,Y: $i] :
( ~ ( big_g @ X @ Y )
| ( ! [Z: $i] :
( ~ ( big_f @ Y @ Z )
| ( big_h @ X @ Z ) )
& ! [Z: $i] :
( ~ ( big_g @ Y @ Z )
| ( big_h @ X @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SY9: $i] :
~ ( big_h @ sK1_X @ SY9 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_g @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: $i] :
( ( big_f @ SV1 @ ( sK3_Y @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV2: $i] :
( ( big_g @ SV2 @ ( sK2_Y @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV3: $i] :
( ( ~ ( big_h @ sK1_X @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_g @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV3: $i] :
( ( big_h @ sK1_X @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_g @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( big_g @ SX0 @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( big_f @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( big_g @ SX1 @ SX2 )
| ( big_h @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV4: $i] :
( ( ! [SY10: $i] :
( ~ ( big_f @ SV4 @ SY10 )
| ~ ( ~ ! [SY11: $i] :
( ~ ( big_f @ SY10 @ SY11 )
| ( big_h @ SV4 @ SY11 ) )
| ~ ! [SY12: $i] :
( ~ ( big_g @ SY10 @ SY12 )
| ( big_h @ SV4 @ SY12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV5: $i] :
( ( ! [SY13: $i] :
( ~ ( big_g @ SV5 @ SY13 )
| ~ ( ~ ! [SY14: $i] :
( ~ ( big_f @ SY13 @ SY14 )
| ( big_h @ SV5 @ SY14 ) )
| ~ ! [SY15: $i] :
( ~ ( big_g @ SY13 @ SY15 )
| ( big_h @ SV5 @ SY15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV6: $i,SV4: $i] :
( ( ~ ( big_f @ SV4 @ SV6 )
| ~ ( ~ ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) )
| ~ ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV7: $i,SV5: $i] :
( ( ~ ( big_g @ SV5 @ SV7 )
| ~ ( ~ ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV6: $i,SV4: $i] :
( ( ( ~ ( big_f @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) )
| ~ ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(35,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( big_g @ SV5 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV6: $i,SV4: $i] :
( ( ( big_f @ SV4 @ SV6 )
= $false )
| ( ( ~ ( ~ ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) )
| ~ ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV7: $i,SV5: $i] :
( ( ( big_g @ SV5 @ SV7 )
= $false )
| ( ( ~ ( ~ ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) )
| ~ ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) )
= $false )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) )
= $false )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) ) )
= $false )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) )
= $false )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) ) )
= $false )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV5: $i,SV7: $i] :
( ( ( ~ ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) )
= $false )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV4: $i,SV6: $i] :
( ( ( ! [SY16: $i] :
( ~ ( big_f @ SV6 @ SY16 )
| ( big_h @ SV4 @ SY16 ) ) )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV4: $i,SV6: $i] :
( ( ( ! [SY17: $i] :
( ~ ( big_g @ SV6 @ SY17 )
| ( big_h @ SV4 @ SY17 ) ) )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV5: $i,SV7: $i] :
( ( ( ! [SY18: $i] :
( ~ ( big_f @ SV7 @ SY18 )
| ( big_h @ SV5 @ SY18 ) ) )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV5: $i,SV7: $i] :
( ( ( ! [SY19: $i] :
( ~ ( big_g @ SV7 @ SY19 )
| ( big_h @ SV5 @ SY19 ) ) )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV4: $i,SV8: $i,SV6: $i] :
( ( ( ~ ( big_f @ SV6 @ SV8 )
| ( big_h @ SV4 @ SV8 ) )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV4: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( big_g @ SV6 @ SV9 )
| ( big_h @ SV4 @ SV9 ) )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV5: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( big_f @ SV7 @ SV10 )
| ( big_h @ SV5 @ SV10 ) )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV5: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( big_g @ SV7 @ SV11 )
| ( big_h @ SV5 @ SV11 ) )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV4: $i,SV8: $i,SV6: $i] :
( ( ( ~ ( big_f @ SV6 @ SV8 ) )
= $true )
| ( ( big_h @ SV4 @ SV8 )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV4: $i,SV9: $i,SV6: $i] :
( ( ( ~ ( big_g @ SV6 @ SV9 ) )
= $true )
| ( ( big_h @ SV4 @ SV9 )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV5: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( big_f @ SV7 @ SV10 ) )
= $true )
| ( ( big_h @ SV5 @ SV10 )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV5: $i,SV11: $i,SV7: $i] :
( ( ( ~ ( big_g @ SV7 @ SV11 ) )
= $true )
| ( ( big_h @ SV5 @ SV11 )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV4: $i,SV8: $i,SV6: $i] :
( ( ( big_f @ SV6 @ SV8 )
= $false )
| ( ( big_h @ SV4 @ SV8 )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV4: $i,SV9: $i,SV6: $i] :
( ( ( big_g @ SV6 @ SV9 )
= $false )
| ( ( big_h @ SV4 @ SV9 )
= $true )
| ( ( big_f @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV5: $i,SV10: $i,SV7: $i] :
( ( ( big_f @ SV7 @ SV10 )
= $false )
| ( ( big_h @ SV5 @ SV10 )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV5: $i,SV11: $i,SV7: $i] :
( ( ( big_g @ SV7 @ SV11 )
= $false )
| ( ( big_h @ SV5 @ SV11 )
= $true )
| ( ( big_g @ SV5 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,59,58,57,56,25,22]) ).
thf(61,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jul 12 09:07:25 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36
% 0.15/0.36 No.of.Axioms: 3
% 0.15/0.36
% 0.15/0.36 Length.of.Defs: 0
% 0.15/0.36
% 0.15/0.36 Contains.Choice.Funs: false
% 0.15/0.37 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.22/0.41
% 0.22/0.41 ********************************
% 0.22/0.41 * All subproblems solved! *
% 0.22/0.41 ********************************
% 0.22/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:60,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.22/0.41
% 0.22/0.41 %**** Beginning of derivation protocol ****
% 0.22/0.41 % SZS output start CNFRefutation
% See solution above
% 0.22/0.41
% 0.22/0.41 %**** End of derivation protocol ****
% 0.22/0.41 %**** no. of clauses in derivation: 61 ****
% 0.22/0.41 %**** clause counter: 60 ****
% 0.22/0.41
% 0.22/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:60,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------