TSTP Solution File: SYN089-1.002 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN089-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 : Thu Jul 21 08:23:31 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 40 unt; 6 typ; 0 def)
% Number of atoms : 334 ( 93 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 141 ( 65 ~; 76 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p_1_1,type,
p_1_1: $o ).
thf(tp_p_1_2,type,
p_1_2: $o ).
thf(tp_p_2_2,type,
p_2_2: $o ).
thf(tp_q_1_1,type,
q_1_1: $o ).
thf(tp_q_1_2,type,
q_1_2: $o ).
thf(tp_q_2_2,type,
q_2_2: $o ).
thf(1,axiom,
q_2_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_4) ).
thf(2,axiom,
p_2_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_3) ).
thf(3,axiom,
q_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_2) ).
thf(4,axiom,
p_1_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_1) ).
thf(5,axiom,
( q_2_2
| ~ q_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type22_2) ).
thf(6,axiom,
( p_2_2
| ~ p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type22_1) ).
thf(7,axiom,
( q_1_1
| ~ q_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type21_2) ).
thf(8,axiom,
( p_1_1
| ~ p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type21_1) ).
thf(9,axiom,
( q_1_2
| ~ q_2_2
| ~ p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type12_2) ).
thf(10,axiom,
( q_1_2
| ~ p_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type12_1) ).
thf(11,axiom,
( p_1_2
| ~ q_2_2
| ~ q_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type11_2) ).
thf(12,axiom,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_type11_1) ).
thf(13,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(14,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[13]) ).
thf(15,negated_conjecture,
~ p_1_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_goal_1) ).
thf(16,plain,
$false = $false,
inference(unfold_def,[status(thm)],[14]) ).
thf(17,plain,
q_2_2 = $true,
inference(unfold_def,[status(thm)],[1]) ).
thf(18,plain,
p_2_2 = $true,
inference(unfold_def,[status(thm)],[2]) ).
thf(19,plain,
q_1_1 = $true,
inference(unfold_def,[status(thm)],[3]) ).
thf(20,plain,
p_1_1 = $true,
inference(unfold_def,[status(thm)],[4]) ).
thf(21,plain,
( ( q_2_2
| ~ q_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(22,plain,
( ( p_2_2
| ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(23,plain,
( ( q_1_1
| ~ q_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(24,plain,
( ( p_1_1
| ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(25,plain,
( ( q_1_2
| ~ q_2_2
| ~ p_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(26,plain,
( ( q_1_2
| ~ p_2_2
| ~ q_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(27,plain,
( ( p_1_2
| ~ q_2_2
| ~ q_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(28,plain,
( ( p_1_2
| ~ p_2_2
| ~ p_1_1 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(29,plain,
( ( ~ p_1_2 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(31,plain,
( ( ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(32,plain,
( ( p_1_2
| ~ p_2_2
| ~ p_1_1 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(33,plain,
( ( p_1_2
| ~ q_2_2
| ~ q_1_1 )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(34,plain,
( ( q_1_2
| ~ p_2_2
| ~ q_1_1 )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(35,plain,
( ( q_1_2
| ~ q_2_2
| ~ p_1_1 )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(36,plain,
( ( p_1_1
| ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(37,plain,
( ( q_1_1
| ~ q_1_2 )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(38,plain,
( ( p_2_2
| ~ p_1_2 )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(39,plain,
( ( q_2_2
| ~ q_1_2 )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(40,plain,
p_1_1 = $true,
inference(copy,[status(thm)],[20]) ).
thf(41,plain,
q_1_1 = $true,
inference(copy,[status(thm)],[19]) ).
thf(42,plain,
p_2_2 = $true,
inference(copy,[status(thm)],[18]) ).
thf(43,plain,
q_2_2 = $true,
inference(copy,[status(thm)],[17]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(45,plain,
p_1_2 = $false,
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(46,plain,
( ( p_1_2 = $true )
| ( ( ~ p_2_2
| ~ p_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(47,plain,
( ( p_1_2 = $true )
| ( ( ~ q_2_2
| ~ q_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(48,plain,
( ( q_1_2 = $true )
| ( ( ~ p_2_2
| ~ q_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(49,plain,
( ( q_1_2 = $true )
| ( ( ~ q_2_2
| ~ p_1_1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(50,plain,
( ( p_1_1 = $true )
| ( ( ~ p_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(51,plain,
( ( q_1_1 = $true )
| ( ( ~ q_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(52,plain,
( ( p_2_2 = $true )
| ( ( ~ p_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(53,plain,
( ( q_2_2 = $true )
| ( ( ~ q_1_2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(54,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(55,plain,
( ( ( ~ p_2_2 )
= $true )
| ( ( ~ p_1_1 )
= $true )
| ( p_1_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(56,plain,
( ( ( ~ q_2_2 )
= $true )
| ( ( ~ q_1_1 )
= $true )
| ( p_1_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(57,plain,
( ( ( ~ p_2_2 )
= $true )
| ( ( ~ q_1_1 )
= $true )
| ( q_1_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(58,plain,
( ( ( ~ q_2_2 )
= $true )
| ( ( ~ p_1_1 )
= $true )
| ( q_1_2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(59,plain,
( ( p_1_2 = $false )
| ( p_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(60,plain,
( ( q_1_2 = $false )
| ( q_1_1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(61,plain,
( ( p_1_2 = $false )
| ( p_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(62,plain,
( ( q_1_2 = $false )
| ( q_2_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(63,plain,
( ( p_2_2 = $false )
| ( ( ~ p_1_1 )
= $true )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
( ( q_2_2 = $false )
| ( ( ~ q_1_1 )
= $true )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
( ( p_2_2 = $false )
| ( ( ~ q_1_1 )
= $true )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(66,plain,
( ( q_2_2 = $false )
| ( ( ~ p_1_1 )
= $true )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(67,plain,
( ( p_1_1 = $false )
| ( p_2_2 = $false )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
( ( q_1_1 = $false )
| ( q_2_2 = $false )
| ( p_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(69,plain,
( ( q_1_1 = $false )
| ( p_2_2 = $false )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
( ( p_1_1 = $false )
| ( q_2_2 = $false )
| ( q_1_2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,70,69,68,67,62,61,60,59,54,45,43,42,41]) ).
thf(72,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN089-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n009.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 : Mon Jul 11 17:20:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 13
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (rf:0,axioms:13,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:15,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.18/0.37 ********************************
% 0.18/0.37 * All subproblems solved! *
% 0.18/0.37 ********************************
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:13,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.37
% 0.18/0.37 %**** Beginning of derivation protocol ****
% 0.18/0.37 % SZS output start CNFRefutation
% See solution above
% 0.18/0.37
% 0.18/0.37 %**** End of derivation protocol ****
% 0.18/0.37 %**** no. of clauses in derivation: 72 ****
% 0.18/0.37 %**** clause counter: 71 ****
% 0.18/0.37
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:13,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------