TSTP Solution File: LCL445-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL445-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 12:23:22 EDT 2022
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 37 unt; 10 typ; 0 def)
% Number of atoms : 173 ( 47 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 728 ( 32 ~; 33 |; 0 &; 663 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 112 ( 0 ^ 112 !; 0 ?; 112 :)
% 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 > $o ).
thf(tp_c_insert,type,
c_insert: $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_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_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( 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_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @ V_q @ T_a ) @ V_q @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle_0) ).
thf(2,axiom,
! [V_p: $i,V_H: $i,T_a: $i,V_q: $i] :
( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
| ~ ( 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 ) )
| ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
thf(3,axiom,
! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ~ ( 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 ) )
| ( 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 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
thf(4,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(5,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,negated_conjecture,
~ ( c_in @ v_q @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(7,negated_conjecture,
c_in @ v_q @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ c_PropLog_Opl_Ofalse @ t_a ) @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,negated_conjecture,
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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(9,plain,
$false = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(10,plain,
( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( 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_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @ V_q @ T_a ) @ V_q @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [V_p: $i,V_H: $i,T_a: $i,V_q: $i] :
( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
| ~ ( 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 ) )
| ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ~ ( 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 ) )
| ( 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 ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ~ ( c_in @ v_q @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(14,plain,
( ( c_in @ v_q @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ c_PropLog_Opl_Ofalse @ t_a ) @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(15,plain,
( ( 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 ),
inference(unfold_def,[status(thm)],[8]) ).
thf(16,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [V_p: $i,V_H: $i,T_a: $i] :
( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
| ! [V_q: $i] :
( ~ ( 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 ) )
| ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(18,plain,
( ( 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 ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( c_in @ v_q @ ( c_PropLog_Othms @ ( c_insert @ ( c_PropLog_Opl_Oop_A_N_62 @ v_p @ c_PropLog_Opl_Ofalse @ t_a ) @ v_H @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(20,plain,
( ( ~ ( c_in @ v_q @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,plain,
( ( ! [V_q: $i,V_p: $i,V_H: $i,T_a: $i] :
( ~ ( 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 ) )
| ( 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 ),
inference(copy,[status(thm)],[12]) ).
thf(22,plain,
( ( ! [V_p: $i,V_H: $i,T_a: $i] :
( ~ ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) )
| ! [V_q: $i] :
( ~ ( 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 ) )
| ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(23,plain,
( ( ! [V_p: $i,V_q: $i,T_a: $i,V_H: $i] : ( 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_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ c_PropLog_Opl_Ofalse @ T_a ) @ V_q @ T_a ) @ V_q @ T_a ) @ T_a ) @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( c_in @ v_q @ ( c_PropLog_Othms @ v_H @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV1: $i] :
( ( ! [SY12: $i,SY13: $i,SY14: $i] :
( ~ ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SY12 @ SY13 @ ( tc_PropLog_Opl @ SY14 ) ) @ SY14 ) @ ( tc_PropLog_Opl @ SY14 ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SY12 @ SV1 @ SY14 ) @ ( c_PropLog_Othms @ SY13 @ SY14 ) @ ( tc_PropLog_Opl @ SY14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV2: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SY15 @ SY16 ) @ ( tc_PropLog_Opl @ SY16 ) )
| ! [SY17: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY17 @ SY16 ) @ ( c_PropLog_Othms @ SY15 @ SY16 ) @ ( tc_PropLog_Opl @ SY16 ) )
| ( c_in @ SY17 @ ( c_PropLog_Othms @ SY15 @ SY16 ) @ ( tc_PropLog_Opl @ SY16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV3: $i] :
( ( ! [SY18: $i,SY19: $i,SY20: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SY18 @ SY19 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ c_PropLog_Opl_Ofalse @ SY19 ) @ SY18 @ SY19 ) @ SY18 @ SY19 ) @ SY19 ) @ ( c_PropLog_Othms @ SY20 @ SY19 ) @ ( tc_PropLog_Opl @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ~ ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SV4 @ SY21 @ ( tc_PropLog_Opl @ SY22 ) ) @ SY22 ) @ ( tc_PropLog_Opl @ SY22 ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SY22 ) @ ( c_PropLog_Othms @ SY21 @ SY22 ) @ ( tc_PropLog_Opl @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
! [SV5: $i,SV2: $i] :
( ( ! [SY23: $i] :
( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SY23 ) @ ( tc_PropLog_Opl @ SY23 ) )
| ! [SY24: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY24 @ SY23 ) @ ( c_PropLog_Othms @ SV5 @ SY23 ) @ ( tc_PropLog_Opl @ SY23 ) )
| ( c_in @ SY24 @ ( c_PropLog_Othms @ SV5 @ SY23 ) @ ( tc_PropLog_Opl @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY25: $i,SY26: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SY25 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ c_PropLog_Opl_Ofalse @ SY25 ) @ SV6 @ SY25 ) @ SV6 @ SY25 ) @ SY25 ) @ ( c_PropLog_Othms @ SY26 @ SY25 ) @ ( tc_PropLog_Opl @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ! [SY27: $i] :
( ~ ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SV4 @ SV7 @ ( tc_PropLog_Opl @ SY27 ) ) @ SY27 ) @ ( tc_PropLog_Opl @ SY27 ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SY27 ) @ ( c_PropLog_Othms @ SV7 @ SY27 ) @ ( tc_PropLog_Opl @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
| ! [SY28: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY28 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
| ( c_in @ SY28 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV9: $i,SV6: $i,SV3: $i] :
( ( ! [SY29: $i] : ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SV9 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ c_PropLog_Opl_Ofalse @ SV9 ) @ SV6 @ SV9 ) @ SV6 @ SV9 ) @ SV9 ) @ ( c_PropLog_Othms @ SY29 @ SV9 ) @ ( tc_PropLog_Opl @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV10: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SV4 @ SV7 @ ( tc_PropLog_Opl @ SV10 ) ) @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) )
| ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SV10 ) @ ( c_PropLog_Othms @ SV7 @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( ~ ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
= $true )
| ( ( ! [SY28: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY28 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
| ( c_in @ SY28 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV11: $i,SV9: $i,SV6: $i,SV3: $i] :
( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ SV6 @ SV9 ) @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ ( c_PropLog_Opl_Oop_A_N_62 @ SV3 @ c_PropLog_Opl_Ofalse @ SV9 ) @ SV6 @ SV9 ) @ SV6 @ SV9 ) @ SV9 ) @ ( c_PropLog_Othms @ SV11 @ SV9 ) @ ( tc_PropLog_Opl @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV10: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SV4 @ SV7 @ ( tc_PropLog_Opl @ SV10 ) ) @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) ) )
= $true )
| ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SV10 ) @ ( c_PropLog_Othms @ SV7 @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV8: $i,SV5: $i,SV2: $i] :
( ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $false )
| ( ( ! [SY28: $i] :
( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SY28 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
| ( c_in @ SY28 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV10: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_PropLog_Othms @ ( c_insert @ SV4 @ SV7 @ ( tc_PropLog_Opl @ SV10 ) ) @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) )
= $false )
| ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV4 @ SV1 @ SV10 ) @ ( c_PropLog_Othms @ SV7 @ SV10 ) @ ( tc_PropLog_Opl @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV5: $i,SV8: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV12 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
| ( c_in @ SV12 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
= $true )
| ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV5: $i,SV8: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV12 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) ) )
= $true )
| ( ( c_in @ SV12 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $true )
| ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV5: $i,SV8: $i,SV12: $i,SV2: $i] :
( ( ( c_in @ ( c_PropLog_Opl_Oop_A_N_62 @ SV2 @ SV12 @ SV8 ) @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $false )
| ( ( c_in @ SV12 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $true )
| ( ( c_in @ SV2 @ ( c_PropLog_Othms @ SV5 @ SV8 ) @ ( tc_PropLog_Opl @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,44,41,38,29,25,19]) ).
thf(46,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LCL445-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 13:01:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 6
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (rf:0,axioms:6,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:8,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.13/0.40
% 0.13/0.40 ********************************
% 0.13/0.40 * All subproblems solved! *
% 0.13/0.40 ********************************
% 0.13/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:45,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.40
% 0.13/0.40 %**** Beginning of derivation protocol ****
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
% 0.13/0.40
% 0.13/0.40 %**** End of derivation protocol ****
% 0.13/0.40 %**** no. of clauses in derivation: 46 ****
% 0.13/0.40 %**** clause counter: 45 ****
% 0.13/0.40
% 0.13/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:45,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------