TSTP Solution File: ALG069-10 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.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 14 17:23:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 85 ( 73 unt; 12 typ; 0 def)
% Number of atoms : 187 ( 122 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 636 ( 7 ~; 0 |; 0 &; 629 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 106 ( 0 ^ 106 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_h,type,
h: $i > $i ).
thf(tp_ifeq,type,
ifeq: $i > $i > $i > $i > $i ).
thf(tp_ifeq2,type,
ifeq2: $i > $i > $i > $i > $i ).
thf(tp_j,type,
j: $i > $i ).
thf(tp_op1,type,
op1: $i > $i > $i ).
thf(tp_op2,type,
op2: $i > $i > $i ).
thf(tp_sK1_ax4_U,type,
sK1_ax4_U: $i ).
thf(tp_sK2_ax3_V,type,
sK2_ax3_V: $i > $i ).
thf(tp_sorti1,type,
sorti1: $i > $i ).
thf(tp_sorti2,type,
sorti2: $i > $i ).
thf(tp_true,type,
true: $i ).
thf(tp_tuple,type,
tuple: $i > $i > $i ).
thf(1,axiom,
( ( sorti2 @ sK1_ax4_U )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(2,axiom,
! [V: $i] :
( ( tuple @ ( op2 @ V @ V ) @ ( sorti2 @ V ) )
!= ( tuple @ sK1_ax4_U @ true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_1) ).
thf(3,axiom,
! [U: $i] :
( ( ifeq2 @ ( sorti1 @ U ) @ true @ ( op1 @ ( sK2_ax3_V @ U ) @ ( sK2_ax3_V @ U ) ) @ U )
= U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(4,axiom,
! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( sK2_ax3_V @ U ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1) ).
thf(5,axiom,
! [V: $i,U: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( ifeq @ ( sorti2 @ U ) @ true @ ( sorti2 @ ( op2 @ U @ V ) ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(6,axiom,
! [V: $i,U: $i] :
( ( ifeq @ ( sorti1 @ V ) @ true @ ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( op1 @ U @ V ) ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(9,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(10,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,negated_conjecture,
! [X1: $i] :
( ( ifeq2 @ ( sorti2 @ X1 ) @ true @ ( h @ ( j @ X1 ) ) @ X1 )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(12,negated_conjecture,
! [Z: $i,Y: $i] :
( ( ifeq2 @ ( sorti2 @ Z ) @ true @ ( ifeq2 @ ( sorti2 @ Y ) @ true @ ( op1 @ ( j @ Y ) @ ( j @ Z ) ) @ ( j @ ( op2 @ Y @ Z ) ) ) @ ( j @ ( op2 @ Y @ Z ) ) )
= ( j @ ( op2 @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
thf(13,negated_conjecture,
! [V: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
thf(14,negated_conjecture,
! [X2: $i] :
( ( ifeq2 @ ( sorti1 @ X2 ) @ true @ ( j @ ( h @ X2 ) ) @ X2 )
= X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
thf(15,negated_conjecture,
! [X: $i,W: $i] :
( ( ifeq2 @ ( sorti1 @ X ) @ true @ ( ifeq2 @ ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @ ( h @ ( op1 @ W @ X ) ) ) @ ( h @ ( op1 @ W @ X ) ) )
= ( h @ ( op1 @ W @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
thf(16,negated_conjecture,
! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[10]) ).
thf(18,plain,
( ( ( sorti2 @ sK1_ax4_U )
= true )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [V: $i] :
( ( tuple @ ( op2 @ V @ V ) @ ( sorti2 @ V ) )
!= ( tuple @ sK1_ax4_U @ true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [U: $i] :
( ( ifeq2 @ ( sorti1 @ U ) @ true @ ( op1 @ ( sK2_ax3_V @ U ) @ ( sK2_ax3_V @ U ) ) @ U )
= U ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( sK2_ax3_V @ U ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [V: $i,U: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( ifeq @ ( sorti2 @ U ) @ true @ ( sorti2 @ ( op2 @ U @ V ) ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [V: $i,U: $i] :
( ( ifeq @ ( sorti1 @ V ) @ true @ ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( op1 @ U @ V ) ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [X1: $i] :
( ( ifeq2 @ ( sorti2 @ X1 ) @ true @ ( h @ ( j @ X1 ) ) @ X1 )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(27,plain,
( ( ! [Z: $i,Y: $i] :
( ( ifeq2 @ ( sorti2 @ Z ) @ true @ ( ifeq2 @ ( sorti2 @ Y ) @ true @ ( op1 @ ( j @ Y ) @ ( j @ Z ) ) @ ( j @ ( op2 @ Y @ Z ) ) ) @ ( j @ ( op2 @ Y @ Z ) ) )
= ( j @ ( op2 @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(28,plain,
( ( ! [V: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(29,plain,
( ( ! [X2: $i] :
( ( ifeq2 @ ( sorti1 @ X2 ) @ true @ ( j @ ( h @ X2 ) ) @ X2 )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(30,plain,
( ( ! [X: $i,W: $i] :
( ( ifeq2 @ ( sorti1 @ X ) @ true @ ( ifeq2 @ ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @ ( h @ ( op1 @ W @ X ) ) ) @ ( h @ ( op1 @ W @ X ) ) )
= ( h @ ( op1 @ W @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(31,plain,
( ( ! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ! [V: $i] :
( ( tuple @ ( op2 @ V @ V ) @ ( sorti2 @ V ) )
!= ( tuple @ sK1_ax4_U @ true ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(34,plain,
( ( ! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(35,plain,
( ( ! [X: $i,W: $i] :
( ( ifeq2 @ ( sorti1 @ X ) @ true @ ( ifeq2 @ ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @ ( h @ ( op1 @ W @ X ) ) ) @ ( h @ ( op1 @ W @ X ) ) )
= ( h @ ( op1 @ W @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(36,plain,
( ( ! [X2: $i] :
( ( ifeq2 @ ( sorti1 @ X2 ) @ true @ ( j @ ( h @ X2 ) ) @ X2 )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(37,plain,
( ( ! [V: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(38,plain,
( ( ! [Z: $i,Y: $i] :
( ( ifeq2 @ ( sorti2 @ Z ) @ true @ ( ifeq2 @ ( sorti2 @ Y ) @ true @ ( op1 @ ( j @ Y ) @ ( j @ Z ) ) @ ( j @ ( op2 @ Y @ Z ) ) ) @ ( j @ ( op2 @ Y @ Z ) ) )
= ( j @ ( op2 @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(39,plain,
( ( ! [X1: $i] :
( ( ifeq2 @ ( sorti2 @ X1 ) @ true @ ( h @ ( j @ X1 ) ) @ X1 )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(42,plain,
( ( ! [V: $i,U: $i] :
( ( ifeq @ ( sorti1 @ V ) @ true @ ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( op1 @ U @ V ) ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(43,plain,
( ( ! [V: $i,U: $i] :
( ( ifeq @ ( sorti2 @ V ) @ true @ ( ifeq @ ( sorti2 @ U ) @ true @ ( sorti2 @ ( op2 @ U @ V ) ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(44,plain,
( ( ! [U: $i] :
( ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( sK2_ax3_V @ U ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(45,plain,
( ( ! [U: $i] :
( ( ifeq2 @ ( sorti1 @ U ) @ true @ ( op1 @ ( sK2_ax3_V @ U ) @ ( sK2_ax3_V @ U ) ) @ U )
= U ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(46,plain,
( ( ! [V: $i] :
( ( tuple @ ( op2 @ V @ V ) @ ( sorti2 @ V ) )
!= ( tuple @ sK1_ax4_U @ true ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(47,plain,
( ( ( sorti2 @ sK1_ax4_U )
= true )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(48,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(49,plain,
! [SV1: $i] :
( ( ( ifeq @ ( sorti1 @ SV1 ) @ true @ ( sorti2 @ ( h @ SV1 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(50,plain,
! [SV2: $i] :
( ( ! [SY21: $i] :
( ( ifeq2 @ ( sorti1 @ SV2 ) @ true @ ( ifeq2 @ ( sorti1 @ SY21 ) @ true @ ( op2 @ ( h @ SY21 ) @ ( h @ SV2 ) ) @ ( h @ ( op1 @ SY21 @ SV2 ) ) ) @ ( h @ ( op1 @ SY21 @ SV2 ) ) )
= ( h @ ( op1 @ SY21 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(51,plain,
! [SV3: $i] :
( ( ( ifeq2 @ ( sorti1 @ SV3 ) @ true @ ( j @ ( h @ SV3 ) ) @ SV3 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(52,plain,
! [SV4: $i] :
( ( ( ifeq @ ( sorti2 @ SV4 ) @ true @ ( sorti1 @ ( j @ SV4 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(53,plain,
! [SV5: $i] :
( ( ! [SY22: $i] :
( ( ifeq2 @ ( sorti2 @ SV5 ) @ true @ ( ifeq2 @ ( sorti2 @ SY22 ) @ true @ ( op1 @ ( j @ SY22 ) @ ( j @ SV5 ) ) @ ( j @ ( op2 @ SY22 @ SV5 ) ) ) @ ( j @ ( op2 @ SY22 @ SV5 ) ) )
= ( j @ ( op2 @ SY22 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(54,plain,
! [SV6: $i] :
( ( ( ifeq2 @ ( sorti2 @ SV6 ) @ true @ ( h @ ( j @ SV6 ) ) @ SV6 )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(55,plain,
! [SV7: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ( ifeq2 @ SV7 @ SV7 @ SY23 @ SY24 )
= SY23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(56,plain,
! [SV8: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ( ifeq @ SV8 @ SV8 @ SY25 @ SY26 )
= SY25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(57,plain,
! [SV9: $i] :
( ( ! [SY27: $i] :
( ( ifeq @ ( sorti1 @ SV9 ) @ true @ ( ifeq @ ( sorti1 @ SY27 ) @ true @ ( sorti1 @ ( op1 @ SY27 @ SV9 ) ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(58,plain,
! [SV10: $i] :
( ( ! [SY28: $i] :
( ( ifeq @ ( sorti2 @ SV10 ) @ true @ ( ifeq @ ( sorti2 @ SY28 ) @ true @ ( sorti2 @ ( op2 @ SY28 @ SV10 ) ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(59,plain,
! [SV11: $i] :
( ( ( ifeq @ ( sorti1 @ SV11 ) @ true @ ( sorti1 @ ( sK2_ax3_V @ SV11 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(60,plain,
! [SV12: $i] :
( ( ( ifeq2 @ ( sorti1 @ SV12 ) @ true @ ( op1 @ ( sK2_ax3_V @ SV12 ) @ ( sK2_ax3_V @ SV12 ) ) @ SV12 )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(61,plain,
! [SV13: $i] :
( ( ( ( tuple @ ( op2 @ SV13 @ SV13 ) @ ( sorti2 @ SV13 ) )
!= ( tuple @ sK1_ax4_U @ true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(62,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(63,plain,
! [SV14: $i,SV2: $i] :
( ( ( ifeq2 @ ( sorti1 @ SV2 ) @ true @ ( ifeq2 @ ( sorti1 @ SV14 ) @ true @ ( op2 @ ( h @ SV14 ) @ ( h @ SV2 ) ) @ ( h @ ( op1 @ SV14 @ SV2 ) ) ) @ ( h @ ( op1 @ SV14 @ SV2 ) ) )
= ( h @ ( op1 @ SV14 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(64,plain,
! [SV15: $i,SV5: $i] :
( ( ( ifeq2 @ ( sorti2 @ SV5 ) @ true @ ( ifeq2 @ ( sorti2 @ SV15 ) @ true @ ( op1 @ ( j @ SV15 ) @ ( j @ SV5 ) ) @ ( j @ ( op2 @ SV15 @ SV5 ) ) ) @ ( j @ ( op2 @ SV15 @ SV5 ) ) )
= ( j @ ( op2 @ SV15 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(65,plain,
! [SV16: $i,SV7: $i] :
( ( ! [SY29: $i] :
( ( ifeq2 @ SV7 @ SV7 @ SV16 @ SY29 )
= SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
! [SV17: $i,SV8: $i] :
( ( ! [SY30: $i] :
( ( ifeq @ SV8 @ SV8 @ SV17 @ SY30 )
= SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV18: $i,SV9: $i] :
( ( ( ifeq @ ( sorti1 @ SV9 ) @ true @ ( ifeq @ ( sorti1 @ SV18 ) @ true @ ( sorti1 @ ( op1 @ SV18 @ SV9 ) ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV19: $i,SV10: $i] :
( ( ( ifeq @ ( sorti2 @ SV10 ) @ true @ ( ifeq @ ( sorti2 @ SV19 ) @ true @ ( sorti2 @ ( op2 @ SV19 @ SV10 ) ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV13: $i] :
( ( ( tuple @ ( op2 @ SV13 @ SV13 ) @ ( sorti2 @ SV13 ) )
= ( tuple @ sK1_ax4_U @ true ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV20: $i,SV16: $i,SV7: $i] :
( ( ( ifeq2 @ SV7 @ SV7 @ SV16 @ SV20 )
= SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV21: $i,SV17: $i,SV8: $i] :
( ( ( ifeq @ SV8 @ SV8 @ SV17 @ SV21 )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,71,70,69,68,67,64,63,62,60,59,54,52,51,49]) ).
thf(73,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 08:12:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 14
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:14,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:16,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.46
% 0.19/0.46 ********************************
% 0.19/0.46 * All subproblems solved! *
% 0.19/0.46 ********************************
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:72,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.46
% 0.19/0.46 %**** Beginning of derivation protocol ****
% 0.19/0.46 % SZS output start CNFRefutation
% See solution above
% 0.19/0.46
% 0.19/0.46 %**** End of derivation protocol ****
% 0.19/0.46 %**** no. of clauses in derivation: 73 ****
% 0.19/0.46 %**** clause counter: 72 ****
% 0.19/0.46
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:72,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------