TSTP Solution File: SWV280-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV280-2 : 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 : n014.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 20:11:33 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 79 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 145 ( 15 ~; 8 |; 0 &; 122 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 0 ^ 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Oused,type,
c_Event_Oused: $i > $i ).
thf(tp_c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_c_plus,type,
c_plus: $i > $i > $i > $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_tc_nat,type,
tc_nat: $i ).
thf(tp_v_evs,type,
v_evs: $i ).
thf(tp_v_sko__urX,type,
v_sko__urX: $i > $i ).
thf(1,axiom,
! [V_U: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ V_evs ) @ V_U @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
thf(2,axiom,
! [V_n: $i,V_m: $i] : ( c_lessequals @ V_n @ ( c_plus @ V_n @ V_m @ tc_nat ) @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
thf(3,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(4,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,negated_conjecture,
! [V_U: $i] : ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(6,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [V_U: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ V_evs ) @ V_U @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [V_n: $i,V_m: $i] : ( c_lessequals @ V_n @ ( c_plus @ V_n @ V_m @ tc_nat ) @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [V_U: $i] : ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [V_U: $i] : ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [V_n: $i,V_m: $i] : ( c_lessequals @ V_n @ ( c_plus @ V_n @ V_m @ tc_nat ) @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [V_U: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ V_U ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ V_evs ) @ V_U @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
! [SV1: $i] :
( ( c_in @ ( c_Message_Omsg_ONonce @ SV1 ) @ ( c_Event_Oused @ v_evs ) @ tc_Message_Omsg )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY5: $i] : ( c_lessequals @ SV2 @ ( c_plus @ SV2 @ SY5 @ tc_nat ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV3: $i] :
( ( ! [SY6: $i] :
( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Event_Oused @ SY6 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ SY6 ) @ SV3 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV4: $i,SV2: $i] :
( ( c_lessequals @ SV2 @ ( c_plus @ SV2 @ SV4 @ tc_nat ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV5: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Event_Oused @ SV5 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ ( v_sko__urX @ SV5 ) @ SV3 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV5: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Event_Oused @ SV5 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ ( v_sko__urX @ SV5 ) @ SV3 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV5: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Event_Oused @ SV5 ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_lessequals @ ( v_sko__urX @ SV5 ) @ SV3 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(23,plain,
! [SV3: $i,SV5: $i] :
( ( ( c_lessequals @ ( v_sko__urX @ SV5 ) @ SV3 @ tc_nat )
= $false )
| ( ( c_in @ ( c_Message_Omsg_ONonce @ SV3 ) @ ( c_Event_Oused @ SV5 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,23,19,18]) ).
thf(25,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV280-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n014.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 : Wed Jun 15 18:14:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 3
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.13/0.38
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 25 ****
% 0.13/0.38 %**** clause counter: 24 ****
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------