TSTP Solution File: LCL443-10 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL443-10 : 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 : n029.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 12:23:20 EDT 2022
% Result : Unsatisfiable 3.96s 4.12s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 70 ( 58 unt; 12 typ; 0 def)
% Number of atoms : 152 ( 97 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 759 ( 6 ~; 0 |; 0 &; 753 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 138 ( 0 ^ 138 !; 0 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_PropLog_Opl_Ofalse,type,
c_PropLog_Opl_Ofalse: $i ).
thf(tp_c_PropLog_Opl_Oop_A_N_62,type,
c_PropLog_Opl_Oop_A_N_62: $i > $i > $i > $i ).
thf(tp_c_PropLog_Othms,type,
c_PropLog_Othms: $i > $i > $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $i ).
thf(tp_c_insert,type,
c_insert: $i > $i > $i > $i ).
thf(tp_ifeq,type,
ifeq: $i > $i > $i > $i > $i ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_tc_PropLog_Opl,type,
tc_PropLog_Opl: $i > $i ).
thf(tp_true,type,
true: $i ).
thf(tp_v_H,type,
v_H: $i ).
thf(tp_v_p,type,
v_p: $i ).
thf(tp_v_q,type,
v_q: $i ).
thf(1,axiom,
! [V_x: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
thf(2,axiom,
! [V_p: $i,V_G: $i,T_a: $i,V_a: $i] :
( ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ ( c_insert @ V_a @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
thf(3,axiom,
! [V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
thf(4,axiom,
! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_q @ ( c_PropLog_Othms @ ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
thf(5,axiom,
! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(7,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(8,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,negated_conjecture,
( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
!= true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(10,negated_conjecture,
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(11,negated_conjecture,
( ( c_in @ v_p @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [V_p: $i,V_G: $i,T_a: $i,V_a: $i] :
( ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ ( c_insert @ V_a @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( ! [V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_q @ ( c_PropLog_Othms @ ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
!= true ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(20,plain,
( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(21,plain,
( ( ( c_in @ v_p @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
!= true ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(24,plain,
( ( ( c_in @ v_p @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(25,plain,
( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ v_q @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(26,plain,
( ( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
!= true ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(28,plain,
( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(29,plain,
( ( ! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_q @ ( c_PropLog_Othms @ ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(30,plain,
( ( ! [V_p: $i,V_H: $i,T_a: $i] :
( ( ifeq @ ( c_in @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(31,plain,
( ( ! [V_p: $i,V_G: $i,T_a: $i,V_a: $i] :
( ( ifeq @ ( c_in @ V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true @ ( c_in @ V_p @ ( c_PropLog_Othms @ ( c_insert @ V_a @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(32,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a )
= true ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(33,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(34,plain,
( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ v_q @ t_a ) @ c_PropLog_Opl_Ofalse @ t_a ) @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV1: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ( ifeq @ SV1 @ SV1 @ SY21 @ SY22 )
= SY21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(36,plain,
! [SV2: $i] :
( ( ! [SY23: $i,SY24: $i,SY25: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY23 @ SY24 ) @ ( c_PropLog_Othms @ SY25 @ SY24 ) @ ( tc_PropLog_Opl @ SY24 ) ) @ true @ ( ifeq @ ( c_in @ SV2 @ ( c_PropLog_Othms @ SY25 @ SY24 ) @ ( tc_PropLog_Opl @ SY24 ) ) @ true @ ( c_in @ SY23 @ ( c_PropLog_Othms @ SY25 @ SY24 ) @ ( tc_PropLog_Opl @ SY24 ) ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(37,plain,
! [SV3: $i] :
( ( ! [SY26: $i,SY27: $i,SY28: $i] :
( ( ifeq @ ( c_in @ SV3 @ ( c_PropLog_Othms @ ( c_insert @ SY26 @ SY27 @ ( tc_PropLog_Opl @ SY28 ) ) @ SY28 ) @ ( tc_PropLog_Opl @ SY28 ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SY26 @ SV3 @ SY28 ) @ ( c_PropLog_Othms @ SY27 @ SY28 ) @ ( tc_PropLog_Opl @ SY28 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV4: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ( ifeq @ ( c_in @ SV4 @ SY29 @ ( tc_PropLog_Opl @ SY30 ) ) @ true @ ( c_in @ SV4 @ ( c_PropLog_Othms @ SY29 @ SY30 ) @ ( tc_PropLog_Opl @ SY30 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV5: $i] :
( ( ! [SY31: $i,SY32: $i,SY33: $i] :
( ( ifeq @ ( c_in @ SV5 @ ( c_PropLog_Othms @ SY31 @ SY32 ) @ ( tc_PropLog_Opl @ SY32 ) ) @ true @ ( c_in @ SV5 @ ( c_PropLog_Othms @ ( c_insert @ SY33 @ SY31 @ ( tc_PropLog_Opl @ SY32 ) ) @ SY32 ) @ ( tc_PropLog_Opl @ SY32 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(40,plain,
! [SV6: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( c_in @ SV6 @ ( c_insert @ SV6 @ SY34 @ SY35 ) @ SY35 )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(41,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV7: $i,SV1: $i] :
( ( ! [SY36: $i] :
( ( ifeq @ SV1 @ SV1 @ SV7 @ SY36 )
= SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV8: $i,SV2: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV8 @ SY37 ) @ ( c_PropLog_Othms @ SY38 @ SY37 ) @ ( tc_PropLog_Opl @ SY37 ) ) @ true @ ( ifeq @ ( c_in @ SV2 @ ( c_PropLog_Othms @ SY38 @ SY37 ) @ ( tc_PropLog_Opl @ SY37 ) ) @ true @ ( c_in @ SV8 @ ( c_PropLog_Othms @ SY38 @ SY37 ) @ ( tc_PropLog_Opl @ SY37 ) ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV9: $i,SV3: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ( ifeq @ ( c_in @ SV3 @ ( c_PropLog_Othms @ ( c_insert @ SV9 @ SY39 @ ( tc_PropLog_Opl @ SY40 ) ) @ SY40 ) @ ( tc_PropLog_Opl @ SY40 ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV9 @ SV3 @ SY40 ) @ ( c_PropLog_Othms @ SY39 @ SY40 ) @ ( tc_PropLog_Opl @ SY40 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV10: $i,SV4: $i] :
( ( ! [SY41: $i] :
( ( ifeq @ ( c_in @ SV4 @ SV10 @ ( tc_PropLog_Opl @ SY41 ) ) @ true @ ( c_in @ SV4 @ ( c_PropLog_Othms @ SV10 @ SY41 ) @ ( tc_PropLog_Opl @ SY41 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV11: $i,SV5: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( ifeq @ ( c_in @ SV5 @ ( c_PropLog_Othms @ SV11 @ SY42 ) @ ( tc_PropLog_Opl @ SY42 ) ) @ true @ ( c_in @ SV5 @ ( c_PropLog_Othms @ ( c_insert @ SY43 @ SV11 @ ( tc_PropLog_Opl @ SY42 ) ) @ SY42 ) @ ( tc_PropLog_Opl @ SY42 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV12: $i,SV6: $i] :
( ( ! [SY44: $i] :
( ( c_in @ SV6 @ ( c_insert @ SV6 @ SV12 @ SY44 ) @ SY44 )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV13: $i,SV7: $i,SV1: $i] :
( ( ( ifeq @ SV1 @ SV1 @ SV7 @ SV13 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV14: $i,SV8: $i,SV2: $i] :
( ( ! [SY45: $i] :
( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV8 @ SV14 ) @ ( c_PropLog_Othms @ SY45 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true @ ( ifeq @ ( c_in @ SV2 @ ( c_PropLog_Othms @ SY45 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true @ ( c_in @ SV8 @ ( c_PropLog_Othms @ SY45 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV15: $i,SV9: $i,SV3: $i] :
( ( ! [SY46: $i] :
( ( ifeq @ ( c_in @ SV3 @ ( c_PropLog_Othms @ ( c_insert @ SV9 @ SV15 @ ( tc_PropLog_Opl @ SY46 ) ) @ SY46 ) @ ( tc_PropLog_Opl @ SY46 ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV9 @ SV3 @ SY46 ) @ ( c_PropLog_Othms @ SV15 @ SY46 ) @ ( tc_PropLog_Opl @ SY46 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV16: $i,SV10: $i,SV4: $i] :
( ( ( ifeq @ ( c_in @ SV4 @ SV10 @ ( tc_PropLog_Opl @ SV16 ) ) @ true @ ( c_in @ SV4 @ ( c_PropLog_Othms @ SV10 @ SV16 ) @ ( tc_PropLog_Opl @ SV16 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV17: $i,SV11: $i,SV5: $i] :
( ( ! [SY47: $i] :
( ( ifeq @ ( c_in @ SV5 @ ( c_PropLog_Othms @ SV11 @ SV17 ) @ ( tc_PropLog_Opl @ SV17 ) ) @ true @ ( c_in @ SV5 @ ( c_PropLog_Othms @ ( c_insert @ SY47 @ SV11 @ ( tc_PropLog_Opl @ SV17 ) ) @ SV17 ) @ ( tc_PropLog_Opl @ SV17 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV18: $i,SV12: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_insert @ SV6 @ SV12 @ SV18 ) @ SV18 )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV19: $i,SV14: $i,SV8: $i,SV2: $i] :
( ( ( ifeq @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV8 @ SV14 ) @ ( c_PropLog_Othms @ SV19 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true @ ( ifeq @ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV19 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true @ ( c_in @ SV8 @ ( c_PropLog_Othms @ SV19 @ SV14 ) @ ( tc_PropLog_Opl @ SV14 ) ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV20: $i,SV15: $i,SV9: $i,SV3: $i] :
( ( ( ifeq @ ( c_in @ SV3 @ ( c_PropLog_Othms @ ( c_insert @ SV9 @ SV15 @ ( tc_PropLog_Opl @ SV20 ) ) @ SV20 ) @ ( tc_PropLog_Opl @ SV20 ) ) @ true @ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV9 @ SV3 @ SV20 ) @ ( c_PropLog_Othms @ SV15 @ SV20 ) @ ( tc_PropLog_Opl @ SV20 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV21: $i,SV17: $i,SV11: $i,SV5: $i] :
( ( ( ifeq @ ( c_in @ SV5 @ ( c_PropLog_Othms @ SV11 @ SV17 ) @ ( tc_PropLog_Opl @ SV17 ) ) @ true @ ( c_in @ SV5 @ ( c_PropLog_Othms @ ( c_insert @ SV21 @ SV11 @ ( tc_PropLog_Opl @ SV17 ) ) @ SV17 ) @ ( tc_PropLog_Opl @ SV17 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(57,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,56,55,54,53,51,48,41,34,25]) ).
thf(58,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL443-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 22:08:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 9
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.38 (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full)...
% 3.96/4.12
% 3.96/4.12 ********************************
% 3.96/4.12 * All subproblems solved! *
% 3.96/4.12 ********************************
% 3.96/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:57,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.96/4.12
% 3.96/4.12 %**** Beginning of derivation protocol ****
% 3.96/4.12 % SZS output start CNFRefutation
% See solution above
% 3.96/4.12
% 3.96/4.12 %**** End of derivation protocol ****
% 3.96/4.12 %**** no. of clauses in derivation: 58 ****
% 3.96/4.12 %**** clause counter: 57 ****
% 3.96/4.12
% 3.96/4.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:57,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------