TSTP Solution File: SWV904-1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.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 : Wed Jul 20 20:14:52 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 47
% Syntax : Number of formulae : 224 ( 154 unt; 17 typ; 0 def)
% Number of atoms : 779 ( 415 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 842 ( 183 ~; 132 |; 0 &; 527 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 371 ( 0 ^ 371 !; 0 ?; 371 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Com_OWT,type,
c_Com_OWT: $i > $o ).
thf(tp_c_Com_OWT__bodies,type,
c_Com_OWT__bodies: $o ).
thf(tp_c_Com_Obody,type,
c_Com_Obody: $i > $i ).
thf(tp_c_Com_Ocom_OBODY,type,
c_Com_Ocom_OBODY: $i > $i ).
thf(tp_c_Com_Ocom_OSKIP,type,
c_Com_Ocom_OSKIP: $i ).
thf(tp_c_Com_Ocom_OSemi,type,
c_Com_Ocom_OSemi: $i > $i > $i ).
thf(tp_c_Com_Osko__Com__XWTs__elim__cases__7__1,type,
c_Com_Osko__Com__XWTs__elim__cases__7__1: $i > $i ).
thf(tp_c_Hoare__Mirabelle_Ostate__not__singleton,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
thf(tp_c_Option_Ooption_ONone,type,
c_Option_Ooption_ONone: $i > $i ).
thf(tp_c_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: $i > $i > $i ).
thf(tp_tc_Com_Ocom,type,
tc_Com_Ocom: $i ).
thf(tp_v_c,type,
v_c: $i ).
thf(tp_v_sko__Hoare__Mirabelle__Xsingle__stateE__1,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
thf(tp_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
thf(tp_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
thf(tp_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).
thf(tp_v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).
thf(1,axiom,
( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
thf(2,axiom,
c_Com_OWT @ c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OSkip_0) ).
thf(3,axiom,
! [V_t: $i] :
( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ V_t )
!= V_t )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).
thf(4,axiom,
! [V_x: $i,V_xa: $i] :
( c_Hoare__Mirabelle_Ostate__not__singleton
| ( V_x = V_xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
thf(5,axiom,
( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
thf(6,axiom,
! [V_c2: $i,V_c1: $i] :
( ( c_Com_OWT @ V_c2 )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_1) ).
thf(7,axiom,
! [V_c1: $i,V_c2: $i] :
( ( c_Com_OWT @ V_c1 )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_0) ).
thf(8,axiom,
! [V_c0: $i,V_c1: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c0 @ V_c1 ) )
| ~ ( c_Com_OWT @ V_c1 )
| ~ ( c_Com_OWT @ V_c0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OSemi_0) ).
thf(9,axiom,
! [V_pn: $i,V_b: $i] :
( ( ( c_Com_Obody @ V_pn )
!= ( c_Option_Ooption_OSome @ V_b @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ V_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
thf(10,axiom,
! [V_com1_H: $i,V_com2_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
thf(11,axiom,
! [V_com1_H: $i,V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
thf(12,axiom,
! [V_a: $i,T_a: $i,V_a_H: $i] :
( ( ( c_Option_Ooption_OSome @ V_a @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Oinject_0) ).
thf(13,axiom,
! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com1 = V_com1_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).
thf(14,axiom,
! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com2 = V_com2_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).
thf(15,axiom,
! [V_P: $i] :
( ( ( c_Com_Obody @ V_P )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ V_P ) @ tc_Com_Ocom ) )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTs__elim__cases_I7_J_0) ).
thf(16,axiom,
! [V_pname_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I18_J_0) ).
thf(17,axiom,
! [V_pname: $i,V_pname_H: $i] :
( ( ( c_Com_Ocom_OBODY @ V_pname )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) )
| ( V_pname = V_pname_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).
thf(18,axiom,
! [V_com1: $i,V_com2: $i,V_pname_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I48_J_0) ).
thf(19,axiom,
! [V_pname_H: $i,V_com1: $i,V_com2: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I49_J_0) ).
thf(20,axiom,
! [V_pname_H: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I19_J_0) ).
thf(21,axiom,
! [V_pn: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_pn ) )
| ( ( c_Com_Obody @ V_pn )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
thf(22,axiom,
! [V_xa: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_xa @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__None__eq_1) ).
thf(23,axiom,
! [V_a_H: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_a_H @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I3_J_0) ).
thf(24,axiom,
! [T_a: $i,V_y: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_y @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).
thf(25,axiom,
! [T_a: $i,V_a_H: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(29,negated_conjecture,
c_Com_OWT @ v_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(30,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(31,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(32,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(33,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(34,plain,
( ( c_Com_OWT @ c_Com_Ocom_OSKIP )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(35,plain,
( ( ! [V_t: $i] :
( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ V_t )
!= V_t )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(36,plain,
( ( ! [V_x: $i,V_xa: $i] :
( c_Hoare__Mirabelle_Ostate__not__singleton
| ( V_x = V_xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(37,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(38,plain,
( ( ! [V_c2: $i,V_c1: $i] :
( ( c_Com_OWT @ V_c2 )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(39,plain,
( ( ! [V_c1: $i,V_c2: $i] :
( ( c_Com_OWT @ V_c1 )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(40,plain,
( ( ! [V_c0: $i,V_c1: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c0 @ V_c1 ) )
| ~ ( c_Com_OWT @ V_c1 )
| ~ ( c_Com_OWT @ V_c0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(41,plain,
( ( ! [V_pn: $i,V_b: $i] :
( ( ( c_Com_Obody @ V_pn )
!= ( c_Option_Ooption_OSome @ V_b @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(42,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(43,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(44,plain,
( ( ! [V_a: $i,T_a: $i,V_a_H: $i] :
( ( ( c_Option_Ooption_OSome @ V_a @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(45,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com1 = V_com1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(46,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com2 = V_com2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(47,plain,
( ( ! [V_P: $i] :
( ( ( c_Com_Obody @ V_P )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ V_P ) @ tc_Com_Ocom ) )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_P ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(48,plain,
( ( ! [V_pname_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(49,plain,
( ( ! [V_pname: $i,V_pname_H: $i] :
( ( ( c_Com_Ocom_OBODY @ V_pname )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) )
| ( V_pname = V_pname_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(50,plain,
( ( ! [V_com1: $i,V_com2: $i,V_pname_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(51,plain,
( ( ! [V_pname_H: $i,V_com1: $i,V_com2: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(52,plain,
( ( ! [V_pname_H: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(53,plain,
( ( ! [V_pn: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_pn ) )
| ( ( c_Com_Obody @ V_pn )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(54,plain,
( ( ! [V_xa: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_xa @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(55,plain,
( ( ! [V_a_H: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_a_H @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(56,plain,
( ( ! [T_a: $i,V_y: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(57,plain,
( ( ! [T_a: $i,V_a_H: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(58,plain,
( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(59,plain,
( ( c_Com_OWT @ v_c )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(60,plain,
c_Com_OWT__bodies = $true,
inference(unfold_def,[status(thm)],[30]) ).
thf(61,plain,
c_Hoare__Mirabelle_Ostate__not__singleton = $true,
inference(unfold_def,[status(thm)],[31]) ).
thf(62,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[32]) ).
thf(63,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(64,plain,
( ( ! [V_t: $i] :
( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ V_t )
!= V_t )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(65,plain,
( ( ! [V_x: $i,V_xa: $i] : ( V_x = V_xa )
| c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(66,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(67,plain,
( ( ! [V_c2: $i] :
( ( c_Com_OWT @ V_c2 )
| ! [V_c1: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(68,plain,
( ( ! [V_c1: $i] :
( ( c_Com_OWT @ V_c1 )
| ! [V_c2: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(69,plain,
( ( ! [V_pn: $i,V_b: $i] :
( ( ( c_Com_Obody @ V_pn )
!= ( c_Option_Ooption_OSome @ V_b @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ V_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(70,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(71,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(72,plain,
( ( ! [V_a: $i,T_a: $i,V_a_H: $i] :
( ( ( c_Option_Ooption_OSome @ V_a @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(73,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i] :
( ! [V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com1 = V_com1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(74,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com2 = V_com2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(75,plain,
( ( ! [V_pname_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(76,plain,
( ( ! [V_pname: $i,V_pname_H: $i] :
( ( ( c_Com_Ocom_OBODY @ V_pname )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) )
| ( V_pname = V_pname_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(77,plain,
( ( ! [V_com1: $i,V_com2: $i,V_pname_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(78,plain,
( ( ! [V_pname_H: $i,V_com1: $i,V_com2: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(79,plain,
( ( ! [V_pname_H: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(80,plain,
( ( ! [V_pn: $i] :
( ( ( c_Com_Obody @ V_pn )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) )
| ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_pn ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(81,plain,
( ( ! [V_xa: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_xa @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(82,plain,
( ( ! [V_a_H: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_a_H @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(83,plain,
( ( ! [T_a: $i,V_y: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_y @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(84,plain,
( ( ! [T_a: $i,V_a_H: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(85,plain,
c_Hoare__Mirabelle_Ostate__not__singleton = $true,
inference(copy,[status(thm)],[61]) ).
thf(86,plain,
c_Com_OWT__bodies = $true,
inference(copy,[status(thm)],[60]) ).
thf(87,plain,
( ( c_Com_OWT @ v_c )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(88,plain,
( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(89,plain,
( ( ! [T_a: $i,V_a_H: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(90,plain,
( ( ! [T_a: $i,V_y: $i] :
( ( c_Option_Ooption_ONone @ T_a )
!= ( c_Option_Ooption_OSome @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(91,plain,
( ( ! [V_a_H: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_a_H @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(92,plain,
( ( ! [V_xa: $i,T_a: $i] :
( ( c_Option_Ooption_OSome @ V_xa @ T_a )
!= ( c_Option_Ooption_ONone @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(93,plain,
( ( ! [V_pn: $i] :
( ( ( c_Com_Obody @ V_pn )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) )
| ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_pn ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(94,plain,
( ( ! [V_pname_H: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(95,plain,
( ( ! [V_pname_H: $i,V_com1: $i,V_com2: $i] :
( ( c_Com_Ocom_OBODY @ V_pname_H )
!= ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(96,plain,
( ( ! [V_com1: $i,V_com2: $i,V_pname_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(97,plain,
( ( ! [V_pname: $i,V_pname_H: $i] :
( ( ( c_Com_Ocom_OBODY @ V_pname )
!= ( c_Com_Ocom_OBODY @ V_pname_H ) )
| ( V_pname = V_pname_H ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(98,plain,
( ( ! [V_pname_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OBODY @ V_pname_H ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(99,plain,
( ( ! [V_P: $i] :
( ( ( c_Com_Obody @ V_P )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ V_P ) @ tc_Com_Ocom ) )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ V_P ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(100,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i,V_com2_H: $i] :
( ( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com2 = V_com2_H ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(101,plain,
( ( ! [V_com1: $i,V_com2: $i,V_com1_H: $i] :
( ! [V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1 @ V_com2 )
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) )
| ( V_com1 = V_com1_H ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(102,plain,
( ( ! [V_a: $i,T_a: $i,V_a_H: $i] :
( ( ( c_Option_Ooption_OSome @ V_a @ T_a )
!= ( c_Option_Ooption_OSome @ V_a_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(103,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(104,plain,
( ( ! [V_com1_H: $i,V_com2_H: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ V_com1_H @ V_com2_H ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(105,plain,
( ( ! [V_pn: $i,V_b: $i] :
( ( ( c_Com_Obody @ V_pn )
!= ( c_Option_Ooption_OSome @ V_b @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ V_b ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(106,plain,
( ( ! [V_c0: $i,V_c1: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c0 @ V_c1 ) )
| ~ ( c_Com_OWT @ V_c1 )
| ~ ( c_Com_OWT @ V_c0 ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(107,plain,
( ( ! [V_c1: $i] :
( ( c_Com_OWT @ V_c1 )
| ! [V_c2: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(108,plain,
( ( ! [V_c2: $i] :
( ( c_Com_OWT @ V_c2 )
| ! [V_c1: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ V_c1 @ V_c2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(109,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(110,plain,
( ( ! [V_x: $i,V_xa: $i] : ( V_x = V_xa )
| c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(111,plain,
( ( ! [V_t: $i] :
( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ V_t )
!= V_t )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(112,plain,
( ( c_Com_OWT @ c_Com_Ocom_OSKIP )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(113,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
| ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(114,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(115,plain,
c_Hoare__Mirabelle_Ostate__not__singleton = $false,
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(116,plain,
! [SV1: $i] :
( ( ! [SY46: $i] :
( ( c_Option_Ooption_ONone @ SV1 )
!= ( c_Option_Ooption_OSome @ SY46 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(117,plain,
! [SV2: $i] :
( ( ! [SY47: $i] :
( ( c_Option_Ooption_ONone @ SV2 )
!= ( c_Option_Ooption_OSome @ SY47 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(118,plain,
! [SV3: $i] :
( ( ! [SY48: $i] :
( ( c_Option_Ooption_OSome @ SV3 @ SY48 )
!= ( c_Option_Ooption_ONone @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(119,plain,
! [SV4: $i] :
( ( ! [SY49: $i] :
( ( c_Option_Ooption_OSome @ SV4 @ SY49 )
!= ( c_Option_Ooption_ONone @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(120,plain,
! [SV5: $i] :
( ( ( ( c_Com_Obody @ SV5 )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) )
| ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(121,plain,
! [SV6: $i] :
( ( ( ( c_Com_Ocom_OBODY @ SV6 )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(122,plain,
! [SV7: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ( c_Com_Ocom_OBODY @ SV7 )
!= ( c_Com_Ocom_OSemi @ SY50 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(123,plain,
! [SV8: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ( c_Com_Ocom_OSemi @ SV8 @ SY52 )
!= ( c_Com_Ocom_OBODY @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(124,plain,
! [SV9: $i] :
( ( ! [SY54: $i] :
( ( ( c_Com_Ocom_OBODY @ SV9 )
!= ( c_Com_Ocom_OBODY @ SY54 ) )
| ( SV9 = SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(125,plain,
! [SV10: $i] :
( ( ( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OBODY @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(126,plain,
! [SV11: $i] :
( ( ( ( c_Com_Obody @ SV11 )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ SV11 ) @ tc_Com_Ocom ) )
| ~ ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(127,plain,
! [SV12: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i] :
( ( ( c_Com_Ocom_OSemi @ SV12 @ SY55 )
!= ( c_Com_Ocom_OSemi @ SY56 @ SY57 ) )
| ( SY55 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(128,plain,
! [SV13: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ! [SY60: $i] :
( ( c_Com_Ocom_OSemi @ SV13 @ SY58 )
!= ( c_Com_Ocom_OSemi @ SY59 @ SY60 ) )
| ( SV13 = SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(129,plain,
! [SV14: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ( ( c_Option_Ooption_OSome @ SV14 @ SY61 )
!= ( c_Option_Ooption_OSome @ SY62 @ SY61 ) )
| ( SV14 = SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(130,plain,
! [SV15: $i] :
( ( ! [SY63: $i] :
( ( c_Com_Ocom_OSemi @ SV15 @ SY63 )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(131,plain,
! [SV16: $i] :
( ( ! [SY64: $i] :
( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ SV16 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(132,plain,
! [SV17: $i] :
( ( ! [SY65: $i] :
( ( ( c_Com_Obody @ SV17 )
!= ( c_Option_Ooption_OSome @ SY65 @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(133,plain,
! [SV18: $i] :
( ( ! [SY66: $i] :
( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SY66 ) )
| ~ ( c_Com_OWT @ SY66 )
| ~ ( c_Com_OWT @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(134,plain,
! [SV19: $i] :
( ( ( c_Com_OWT @ SV19 )
| ! [SY67: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV19 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(135,plain,
! [SV20: $i] :
( ( ( c_Com_OWT @ SV20 )
| ! [SY68: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SY68 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(136,plain,
( ( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) )
= $true )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(137,plain,
( ( ( ! [V_x: $i,V_xa: $i] : ( V_x = V_xa ) )
= $true )
| ( c_Hoare__Mirabelle_Ostate__not__singleton = $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(138,plain,
( ( ( ! [V_t: $i] :
( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ V_t )
!= V_t ) )
= $true )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(139,plain,
( ( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) )
= $true )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(140,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(141,plain,
! [SV21: $i,SV1: $i] :
( ( ( ( c_Option_Ooption_ONone @ SV1 )
!= ( c_Option_Ooption_OSome @ SV21 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(142,plain,
! [SV22: $i,SV2: $i] :
( ( ( ( c_Option_Ooption_ONone @ SV2 )
!= ( c_Option_Ooption_OSome @ SV22 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(143,plain,
! [SV23: $i,SV3: $i] :
( ( ( ( c_Option_Ooption_OSome @ SV3 @ SV23 )
!= ( c_Option_Ooption_ONone @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(144,plain,
! [SV24: $i,SV4: $i] :
( ( ( ( c_Option_Ooption_OSome @ SV4 @ SV24 )
!= ( c_Option_Ooption_ONone @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(145,plain,
! [SV5: $i] :
( ( ( ( c_Com_Obody @ SV5 )
= ( c_Option_Ooption_ONone @ tc_Com_Ocom ) )
= $true )
| ( ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(146,plain,
! [SV6: $i] :
( ( ( c_Com_Ocom_OBODY @ SV6 )
= c_Com_Ocom_OSKIP )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(147,plain,
! [SV25: $i,SV7: $i] :
( ( ! [SY69: $i] :
( ( c_Com_Ocom_OBODY @ SV7 )
!= ( c_Com_Ocom_OSemi @ SV25 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(148,plain,
! [SV26: $i,SV8: $i] :
( ( ! [SY70: $i] :
( ( c_Com_Ocom_OSemi @ SV8 @ SV26 )
!= ( c_Com_Ocom_OBODY @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(149,plain,
! [SV27: $i,SV9: $i] :
( ( ( ( c_Com_Ocom_OBODY @ SV9 )
!= ( c_Com_Ocom_OBODY @ SV27 ) )
| ( SV9 = SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(150,plain,
! [SV10: $i] :
( ( c_Com_Ocom_OSKIP
= ( c_Com_Ocom_OBODY @ SV10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(151,plain,
! [SV11: $i] :
( ( ( ( c_Com_Obody @ SV11 )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ SV11 ) @ tc_Com_Ocom ) )
= $true )
| ( ( ~ ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(152,plain,
! [SV28: $i,SV12: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ( ( c_Com_Ocom_OSemi @ SV12 @ SV28 )
!= ( c_Com_Ocom_OSemi @ SY71 @ SY72 ) )
| ( SV28 = SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(153,plain,
! [SV29: $i,SV13: $i] :
( ( ! [SY73: $i] :
( ! [SY74: $i] :
( ( c_Com_Ocom_OSemi @ SV13 @ SV29 )
!= ( c_Com_Ocom_OSemi @ SY73 @ SY74 ) )
| ( SV13 = SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(154,plain,
! [SV30: $i,SV14: $i] :
( ( ! [SY75: $i] :
( ( ( c_Option_Ooption_OSome @ SV14 @ SV30 )
!= ( c_Option_Ooption_OSome @ SY75 @ SV30 ) )
| ( SV14 = SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(155,plain,
! [SV31: $i,SV15: $i] :
( ( ( ( c_Com_Ocom_OSemi @ SV15 @ SV31 )
!= c_Com_Ocom_OSKIP ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(156,plain,
! [SV32: $i,SV16: $i] :
( ( ( c_Com_Ocom_OSKIP
!= ( c_Com_Ocom_OSemi @ SV16 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(157,plain,
! [SV33: $i,SV17: $i] :
( ( ( ( c_Com_Obody @ SV17 )
!= ( c_Option_Ooption_OSome @ SV33 @ tc_Com_Ocom ) )
| ~ c_Com_OWT__bodies
| ( c_Com_OWT @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(158,plain,
! [SV34: $i,SV18: $i] :
( ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SV34 ) )
| ~ ( c_Com_OWT @ SV34 )
| ~ ( c_Com_OWT @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(159,plain,
! [SV19: $i] :
( ( ( c_Com_OWT @ SV19 )
= $true )
| ( ( ! [SY67: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(160,plain,
! [SV20: $i] :
( ( ( c_Com_OWT @ SV20 )
= $true )
| ( ( ! [SY68: $i] :
~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SY68 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(161,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
= $false )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(162,plain,
! [SV35: $i] :
( ( ( ! [SY76: $i] : ( SV35 = SY76 ) )
= $true )
| ( c_Hoare__Mirabelle_Ostate__not__singleton = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(163,plain,
! [SV36: $i] :
( ( ( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ SV36 )
!= SV36 ) )
= $true )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(164,plain,
( ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
= $false )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(165,plain,
! [SV21: $i,SV1: $i] :
( ( ( c_Option_Ooption_ONone @ SV1 )
= ( c_Option_Ooption_OSome @ SV21 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV22: $i,SV2: $i] :
( ( ( c_Option_Ooption_ONone @ SV2 )
= ( c_Option_Ooption_OSome @ SV22 @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(167,plain,
! [SV23: $i,SV3: $i] :
( ( ( c_Option_Ooption_OSome @ SV3 @ SV23 )
= ( c_Option_Ooption_ONone @ SV23 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(168,plain,
! [SV24: $i,SV4: $i] :
( ( ( c_Option_Ooption_OSome @ SV4 @ SV24 )
= ( c_Option_Ooption_ONone @ SV24 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV37: $i,SV25: $i,SV7: $i] :
( ( ( ( c_Com_Ocom_OBODY @ SV7 )
!= ( c_Com_Ocom_OSemi @ SV25 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(170,plain,
! [SV38: $i,SV26: $i,SV8: $i] :
( ( ( ( c_Com_Ocom_OSemi @ SV8 @ SV26 )
!= ( c_Com_Ocom_OBODY @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(171,plain,
! [SV27: $i,SV9: $i] :
( ( ( ( ( c_Com_Ocom_OBODY @ SV9 )
!= ( c_Com_Ocom_OBODY @ SV27 ) ) )
= $true )
| ( ( SV9 = SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(172,plain,
! [SV11: $i] :
( ( ( c_Com_OWT @ ( c_Com_Ocom_OBODY @ SV11 ) )
= $false )
| ( ( ( c_Com_Obody @ SV11 )
= ( c_Option_Ooption_OSome @ ( c_Com_Osko__Com__XWTs__elim__cases__7__1 @ SV11 ) @ tc_Com_Ocom ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV39: $i,SV28: $i,SV12: $i] :
( ( ! [SY77: $i] :
( ( ( c_Com_Ocom_OSemi @ SV12 @ SV28 )
!= ( c_Com_Ocom_OSemi @ SV39 @ SY77 ) )
| ( SV28 = SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ! [SY78: $i] :
( ( c_Com_Ocom_OSemi @ SV13 @ SV29 )
!= ( c_Com_Ocom_OSemi @ SV40 @ SY78 ) )
| ( SV13 = SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(175,plain,
! [SV41: $i,SV30: $i,SV14: $i] :
( ( ( ( c_Option_Ooption_OSome @ SV14 @ SV30 )
!= ( c_Option_Ooption_OSome @ SV41 @ SV30 ) )
| ( SV14 = SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV31: $i,SV15: $i] :
( ( ( c_Com_Ocom_OSemi @ SV15 @ SV31 )
= c_Com_Ocom_OSKIP )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV32: $i,SV16: $i] :
( ( c_Com_Ocom_OSKIP
= ( c_Com_Ocom_OSemi @ SV16 @ SV32 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV33: $i,SV17: $i] :
( ( ( ( ( c_Com_Obody @ SV17 )
!= ( c_Option_Ooption_OSome @ SV33 @ tc_Com_Ocom ) ) )
= $true )
| ( ( ~ c_Com_OWT__bodies
| ( c_Com_OWT @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV34: $i,SV18: $i] :
( ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SV34 ) )
= $true )
| ( ( ~ ( c_Com_OWT @ SV34 )
| ~ ( c_Com_OWT @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV42: $i,SV19: $i] :
( ( ( ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV19 @ SV42 ) ) )
= $true )
| ( ( c_Com_OWT @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV20: $i,SV43: $i] :
( ( ( ~ ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV43 @ SV20 ) ) )
= $true )
| ( ( c_Com_OWT @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(182,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton = $false )
| ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV44: $i,SV35: $i] :
( ( ( SV35 = SV44 )
= $true )
| ( c_Hoare__Mirabelle_Ostate__not__singleton = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV36: $i] :
( ( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ SV36 )
= SV36 )
= $false )
| ( ( ~ c_Hoare__Mirabelle_Ostate__not__singleton )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(185,plain,
( ( c_Hoare__Mirabelle_Ostate__not__singleton = $false )
| ( ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV37: $i,SV25: $i,SV7: $i] :
( ( ( c_Com_Ocom_OBODY @ SV7 )
= ( c_Com_Ocom_OSemi @ SV25 @ SV37 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV38: $i,SV26: $i,SV8: $i] :
( ( ( c_Com_Ocom_OSemi @ SV8 @ SV26 )
= ( c_Com_Ocom_OBODY @ SV38 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV27: $i,SV9: $i] :
( ( ( ( c_Com_Ocom_OBODY @ SV9 )
= ( c_Com_Ocom_OBODY @ SV27 ) )
= $false )
| ( ( SV9 = SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV45: $i,SV39: $i,SV28: $i,SV12: $i] :
( ( ( ( c_Com_Ocom_OSemi @ SV12 @ SV28 )
!= ( c_Com_Ocom_OSemi @ SV39 @ SV45 ) )
| ( SV28 = SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(190,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( ! [SY78: $i] :
( ( c_Com_Ocom_OSemi @ SV13 @ SV29 )
!= ( c_Com_Ocom_OSemi @ SV40 @ SY78 ) ) )
= $true )
| ( ( SV13 = SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(191,plain,
! [SV41: $i,SV30: $i,SV14: $i] :
( ( ( ( ( c_Option_Ooption_OSome @ SV14 @ SV30 )
!= ( c_Option_Ooption_OSome @ SV41 @ SV30 ) ) )
= $true )
| ( ( SV14 = SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(192,plain,
! [SV33: $i,SV17: $i] :
( ( ( ( c_Com_Obody @ SV17 )
= ( c_Option_Ooption_OSome @ SV33 @ tc_Com_Ocom ) )
= $false )
| ( ( ~ c_Com_OWT__bodies
| ( c_Com_OWT @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(193,plain,
! [SV18: $i,SV34: $i] :
( ( ( ~ ( c_Com_OWT @ SV34 ) )
= $true )
| ( ( ~ ( c_Com_OWT @ SV18 ) )
= $true )
| ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(194,plain,
! [SV42: $i,SV19: $i] :
( ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV19 @ SV42 ) )
= $false )
| ( ( c_Com_OWT @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(195,plain,
! [SV20: $i,SV43: $i] :
( ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV43 @ SV20 ) )
= $false )
| ( ( c_Com_OWT @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV36: $i] :
( ( c_Hoare__Mirabelle_Ostate__not__singleton = $false )
| ( ( ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @ SV36 )
= SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(197,plain,
! [SV45: $i,SV39: $i,SV28: $i,SV12: $i] :
( ( ( ( ( c_Com_Ocom_OSemi @ SV12 @ SV28 )
!= ( c_Com_Ocom_OSemi @ SV39 @ SV45 ) ) )
= $true )
| ( ( SV28 = SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(198,plain,
! [SV46: $i,SV40: $i,SV29: $i,SV13: $i] :
( ( ( ( ( c_Com_Ocom_OSemi @ SV13 @ SV29 )
!= ( c_Com_Ocom_OSemi @ SV40 @ SV46 ) ) )
= $true )
| ( ( SV13 = SV40 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(199,plain,
! [SV41: $i,SV30: $i,SV14: $i] :
( ( ( ( c_Option_Ooption_OSome @ SV14 @ SV30 )
= ( c_Option_Ooption_OSome @ SV41 @ SV30 ) )
= $false )
| ( ( SV14 = SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(200,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ c_Com_OWT__bodies )
= $true )
| ( ( c_Com_OWT @ SV33 )
= $true )
| ( ( ( c_Com_Obody @ SV17 )
= ( c_Option_Ooption_OSome @ SV33 @ tc_Com_Ocom ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(201,plain,
! [SV18: $i,SV34: $i] :
( ( ( c_Com_OWT @ SV34 )
= $false )
| ( ( ~ ( c_Com_OWT @ SV18 ) )
= $true )
| ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV45: $i,SV39: $i,SV28: $i,SV12: $i] :
( ( ( ( c_Com_Ocom_OSemi @ SV12 @ SV28 )
= ( c_Com_Ocom_OSemi @ SV39 @ SV45 ) )
= $false )
| ( ( SV28 = SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(203,plain,
! [SV46: $i,SV40: $i,SV29: $i,SV13: $i] :
( ( ( ( c_Com_Ocom_OSemi @ SV13 @ SV29 )
= ( c_Com_Ocom_OSemi @ SV40 @ SV46 ) )
= $false )
| ( ( SV13 = SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(204,plain,
! [SV17: $i,SV33: $i] :
( ( c_Com_OWT__bodies = $false )
| ( ( c_Com_OWT @ SV33 )
= $true )
| ( ( ( c_Com_Obody @ SV17 )
= ( c_Option_Ooption_OSome @ SV33 @ tc_Com_Ocom ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV34: $i,SV18: $i] :
( ( ( c_Com_OWT @ SV18 )
= $false )
| ( ( c_Com_OWT @ SV34 )
= $false )
| ( ( c_Com_OWT @ ( c_Com_Ocom_OSemi @ SV18 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[85,205,204,203,202,199,196,195,194,188,187,186,185,183,182,177,176,172,168,167,166,165,150,146,145,140,115,112,87,86]) ).
thf(207,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 17:17:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 29
% 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 .
% 0.12/0.36 (rf:0,axioms:29,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:31,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.19/0.43
% 0.19/0.43 ********************************
% 0.19/0.43 * All subproblems solved! *
% 0.19/0.43 ********************************
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,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:206,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.43
% 0.19/0.43 %**** Beginning of derivation protocol ****
% 0.19/0.43 % SZS output start CNFRefutation
% See solution above
% 0.19/0.44
% 0.19/0.44 %**** End of derivation protocol ****
% 0.19/0.44 %**** no. of clauses in derivation: 207 ****
% 0.19/0.44 %**** clause counter: 206 ****
% 0.19/0.44
% 0.19/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,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:206,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------