TSTP Solution File: SWV243-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV243-2 : 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 : n032.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 20:11:19 EDT 2022
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 23 unt; 6 typ; 0 def)
% Number of atoms : 59 ( 33 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 121 ( 6 ~; 0 |; 0 &; 115 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 ^ 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
thf(tp_c_emptyset,type,
c_emptyset: $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_H,type,
v_H: $i ).
thf(1,axiom,
! [V_y: $i,T_a: $i] :
( ( c_union @ V_y @ c_emptyset @ T_a )
= V_y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
thf(2,axiom,
! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ V_G ) @ V_H @ tc_Message_Omsg ) )
= ( c_union @ ( c_Message_Oanalz @ ( c_union @ V_G @ V_H @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_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,
( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
!= ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ 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_y: $i,T_a: $i] :
( ( c_union @ V_y @ c_emptyset @ T_a )
= V_y ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ V_G ) @ V_H @ tc_Message_Omsg ) )
= ( c_union @ ( c_Message_Oanalz @ ( c_union @ V_G @ V_H @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
!= ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
!= ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(12,plain,
( ( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
!= ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ V_G ) @ V_H @ tc_Message_Omsg ) )
= ( c_union @ ( c_Message_Oanalz @ ( c_union @ V_G @ V_H @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ! [V_y: $i,T_a: $i] :
( ( c_union @ V_y @ c_emptyset @ T_a )
= V_y ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(15,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ v_H ) )
= ( c_union @ ( c_Message_Oanalz @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV1: $i] :
( ( ! [SY4: $i] :
( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ SV1 ) @ SY4 @ tc_Message_Omsg ) )
= ( c_union @ ( c_Message_Oanalz @ ( c_union @ SV1 @ SY4 @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ SV1 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV2: $i] :
( ( ! [SY5: $i] :
( ( c_union @ SV2 @ c_emptyset @ SY5 )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV3: $i,SV1: $i] :
( ( ( c_Message_Oanalz @ ( c_union @ ( c_Message_Osynth @ SV1 ) @ SV3 @ tc_Message_Omsg ) )
= ( c_union @ ( c_Message_Oanalz @ ( c_union @ SV1 @ SV3 @ tc_Message_Omsg ) ) @ ( c_Message_Osynth @ SV1 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV4: $i,SV2: $i] :
( ( ( c_union @ SV2 @ c_emptyset @ SV4 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,21,20,19]) ).
thf(23,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV243-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 14 22:32:13 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30
% 0.10/0.30 No.of.Axioms: 3
% 0.10/0.30
% 0.10/0.30 Length.of.Defs: 0
% 0.10/0.30
% 0.10/0.30 Contains.Choice.Funs: false
% 0.10/0.30 (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)
% 0.15/0.33 ********************************
% 0.15/0.33 * All subproblems solved! *
% 0.15/0.33 ********************************
% 0.15/0.33 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.15/0.33
% 0.15/0.33 %**** Beginning of derivation protocol ****
% 0.15/0.33 % SZS output start CNFRefutation
% See solution above
% 0.15/0.33
% 0.15/0.33 %**** End of derivation protocol ****
% 0.15/0.33 %**** no. of clauses in derivation: 23 ****
% 0.15/0.33 %**** clause counter: 22 ****
% 0.15/0.33
% 0.15/0.33 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------