TSTP Solution File: MSC011+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC011+1 : 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 : n006.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 22:50:24 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 24 unt; 5 typ; 0 def)
% Number of atoms : 142 ( 39 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 86 ( 23 ~; 20 |; 6 &; 33 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_drunk,type,
drunk: $i > $o ).
thf(tp_goal,type,
goal: $o ).
thf(tp_neg_psi,type,
neg_psi: $o ).
thf(tp_not_drunk,type,
not_drunk: $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(1,axiom,
( neg_psi
=> ? [A: $i] : ( not_drunk @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_psi_ax) ).
thf(2,axiom,
! [A: $i] :
( ( drunk @ A )
& neg_psi ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_phi) ).
thf(3,axiom,
! [A: $i] :
( ( ( drunk @ A )
& ( not_drunk @ A ) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_cons) ).
thf(4,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(5,negated_conjecture,
goal = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
goal = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( neg_psi
=> ? [A: $i] : ( not_drunk @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [A: $i] :
( ( drunk @ A )
& neg_psi ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [A: $i] :
( ( ( drunk @ A )
& ( not_drunk @ A ) )
=> goal ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ goal )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ~ neg_psi
| ( not_drunk @ sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(12,plain,
( ( ! [A: $i] : ( drunk @ A )
& neg_psi )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(13,plain,
( ( ! [A: $i] :
( ~ ( drunk @ A )
| ~ ( not_drunk @ A ) )
| goal )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(14,plain,
( ( ! [A: $i] :
( ~ ( drunk @ A )
| ~ ( not_drunk @ A ) )
| goal )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [A: $i] : ( drunk @ A )
& neg_psi )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ neg_psi
| ( not_drunk @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ goal )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: $i] : ( drunk @ SX0 )
| ~ neg_psi ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
( ( ( ! [A: $i] :
( ~ ( drunk @ A )
| ~ ( not_drunk @ A ) ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(20,plain,
( ( ( ~ neg_psi )
= $true )
| ( ( not_drunk @ sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(21,plain,
goal = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] : ( drunk @ SX0 )
| ~ neg_psi )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV1: $i] :
( ( ( ~ ( drunk @ SV1 )
| ~ ( not_drunk @ SV1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( neg_psi = $false )
| ( ( not_drunk @ sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] : ( drunk @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ neg_psi )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: $i] :
( ( ( ~ ( drunk @ SV1 ) )
= $true )
| ( ( ~ ( not_drunk @ SV1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ! [SX0: $i] : ( drunk @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
neg_psi = $true,
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: $i] :
( ( ( drunk @ SV1 )
= $false )
| ( ( ~ ( not_drunk @ SV1 ) )
= $true )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i] :
( ( drunk @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( not_drunk @ SV1 )
= $false )
| ( ( drunk @ SV1 )
= $false )
| ( goal = $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,32,31,29,24]) ).
thf(34,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MSC011+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 1 15:46:22 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 3
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 0
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: false
% 0.12/0.33 (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).
% 0.12/0.35
% 0.12/0.35 ********************************
% 0.12/0.35 * All subproblems solved! *
% 0.12/0.35 ********************************
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/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:33,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.35
% 0.12/0.35 %**** Beginning of derivation protocol ****
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
% 0.12/0.35
% 0.12/0.35 %**** End of derivation protocol ****
% 0.12/0.35 %**** no. of clauses in derivation: 34 ****
% 0.12/0.35 %**** clause counter: 33 ****
% 0.12/0.35
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/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:33,loop_count:0,foatp_calls:1,translation:fof_full)
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