TSTP Solution File: SWV335-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV335-2 : 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 : n019.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 20:11:55 EDT 2022
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 80 ( 46 unt; 15 typ; 0 def)
% Number of atoms : 281 ( 72 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 828 ( 51 ~; 72 |; 0 &; 705 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 125 ( 0 ^ 125 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
thf(tp_c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(tp_c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(tp_c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $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_c_union,type,
c_union: $i > $i > $i > $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evsf,type,
v_evsf: $i ).
thf(1,axiom,
! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
thf(2,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
thf(3,axiom,
! [V_n: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_ONonce__synth_0) ).
thf(4,axiom,
! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
thf(5,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
thf(6,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(7,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(9,negated_conjecture,
c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(10,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(11,negated_conjecture,
c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(12,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( ! [V_n: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(19,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(20,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(21,plain,
( ( c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(26,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(27,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,plain,
( ( ! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(29,plain,
( ( ! [V_n: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(30,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(31,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(33,plain,
( ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(34,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV1: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SY14 ) @ ( c_Message_Osynth @ SY15 ) @ tc_Message_Omsg )
| ( c_in @ SY14 @ ( c_Message_Osynth @ SY15 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SY14 ) @ SY15 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(36,plain,
! [SV2: $i] :
( ( ! [SY16: $i,SY17: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SY16 @ SY17 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SY16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY17 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY17 ) ) @ ( c_Message_Oparts @ SY17 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(37,plain,
! [SV3: $i] :
( ( ! [SY18: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Message_Osynth @ SY18 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ SY18 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV4: $i] :
( ( ! [SY19: $i] :
( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SY19 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SY19 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV5: $i] :
( ( ! [SY20: $i,SY21: $i,SY22: $i] :
( ~ ( c_in @ SV5 @ ( c_union @ SY20 @ SY21 @ SY22 ) @ SY22 )
| ( c_in @ SV5 @ SY21 @ SY22 )
| ( c_in @ SV5 @ SY20 @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(40,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY23: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ ( c_Message_Osynth @ SY23 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Osynth @ SY23 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ SY23 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY24: $i] :
( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SY24 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY24 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY24 ) ) @ ( c_Message_Oparts @ SY24 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV8: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Message_Osynth @ SV8 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ SV8 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV9: $i,SV4: $i] :
( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ( c_in @ SV5 @ ( c_union @ SV10 @ SY25 @ SY26 ) @ SY26 )
| ( c_in @ SV5 @ SY25 @ SY26 )
| ( c_in @ SV5 @ SV10 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ SV11 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SV12 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Message_Osynth @ SV8 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ SV8 @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV9: $i,SV4: $i] :
( ( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV13: $i,SV10: $i,SV5: $i] :
( ( ! [SY27: $i] :
( ~ ( c_in @ SV5 @ ( c_union @ SV10 @ SV13 @ SY27 ) @ SY27 )
| ( c_in @ SV5 @ SV13 @ SY27 )
| ( c_in @ SV5 @ SV10 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV6 @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ SV11 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(52,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SV12 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV8: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Message_Osynth @ SV8 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ SV8 @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(54,plain,
! [SV9: $i,SV4: $i] :
( ( ( c_in @ SV4 @ ( c_Message_Oanalz @ SV9 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV9 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV14: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ~ ( c_in @ SV5 @ ( c_union @ SV10 @ SV13 @ SV14 ) @ SV14 )
| ( c_in @ SV5 @ SV13 @ SV14 )
| ( c_in @ SV5 @ SV10 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV6 @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ SV11 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SV12 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV14: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ ( c_union @ SV10 @ SV13 @ SV14 ) @ SV14 ) )
= $true )
| ( ( ( c_in @ SV5 @ SV13 @ SV14 )
| ( c_in @ SV5 @ SV10 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ SV11 @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV1 @ SV6 ) @ ( c_Message_Osynth @ SV11 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV2: $i,SV12: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SV12 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV14: $i,SV13: $i,SV10: $i,SV5: $i] :
( ( ( c_in @ SV5 @ ( c_union @ SV10 @ SV13 @ SV14 ) @ SV14 )
= $false )
| ( ( ( c_in @ SV5 @ SV13 @ SV14 )
| ( c_in @ SV5 @ SV10 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV2: $i,SV12: $i,SV7: $i] :
( ( ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV2 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV12 ) ) @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_insert @ SV7 @ SV12 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV10: $i,SV14: $i,SV13: $i,SV5: $i] :
( ( ( c_in @ SV5 @ SV13 @ SV14 )
= $true )
| ( ( c_in @ SV5 @ SV10 @ SV14 )
= $true )
| ( ( c_in @ SV5 @ ( c_union @ SV10 @ SV13 @ SV14 ) @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(64,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,63,62,59,54,53,40,34,33,25]) ).
thf(65,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV335-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 16:09:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 9
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.36 (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)..
% 0.21/0.42
% 0.21/0.42 ********************************
% 0.21/0.42 * All subproblems solved! *
% 0.21/0.42 ********************************
% 0.21/0.42 % 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:64,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.42
% 0.21/0.42 %**** Beginning of derivation protocol ****
% 0.21/0.42 % SZS output start CNFRefutation
% See solution above
% 0.21/0.42
% 0.21/0.42 %**** End of derivation protocol ****
% 0.21/0.42 %**** no. of clauses in derivation: 65 ****
% 0.21/0.42 %**** clause counter: 64 ****
% 0.21/0.42
% 0.21/0.42 % 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:64,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------