TSTP Solution File: MSC015-1.005 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : MSC015-1.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n011.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 22:50:27 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 35 unt; 3 typ; 0 def)
% Number of atoms : 187 ( 51 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 455 ( 35 ~; 35 |; 0 &; 385 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-5 aty)
% Number of variables : 80 ( 0 ^ 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p,type,
p: $i > $i > $i > $i > $i > $o ).
thf(tp_s0,type,
s0: $i ).
thf(tp_s1,type,
s1: $i ).
thf(1,axiom,
( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
thf(2,axiom,
! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
thf(3,axiom,
! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
thf(4,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
thf(5,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
thf(6,axiom,
p @ s0 @ s0 @ s0 @ s0 @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
thf(7,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(8,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,negated_conjecture,
~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(10,plain,
$false = $false,
inference(unfold_def,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(18,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(19,plain,
( ( ~ ( p @ s1 @ s1 @ s1 @ s1 @ s1 ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(20,plain,
( ( p @ s0 @ s0 @ s0 @ s0 @ s0 )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ X3 @ s0 )
| ( p @ X0 @ X1 @ X2 @ X3 @ s1 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(22,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( p @ X0 @ X1 @ X2 @ s0 @ s1 )
| ( p @ X0 @ X1 @ X2 @ s1 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(23,plain,
( ( ! [X0: $i,X1: $i] :
( ~ ( p @ X0 @ X1 @ s0 @ s1 @ s1 )
| ( p @ X0 @ X1 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(24,plain,
( ( ! [X0: $i] :
( ~ ( p @ X0 @ s0 @ s1 @ s1 @ s1 )
| ( p @ X0 @ s1 @ s0 @ s0 @ s0 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(25,plain,
( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
| ( p @ s1 @ s0 @ s0 @ s0 @ s0 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(26,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(27,plain,
( ( p @ s1 @ s1 @ s1 @ s1 @ s1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(28,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i,SY12: $i] :
( ~ ( p @ SV1 @ SY10 @ SY11 @ SY12 @ s0 )
| ( p @ SV1 @ SY10 @ SY11 @ SY12 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(29,plain,
! [SV2: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ~ ( p @ SV2 @ SY13 @ SY14 @ s0 @ s1 )
| ( p @ SV2 @ SY13 @ SY14 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(30,plain,
! [SV3: $i] :
( ( ! [SY15: $i] :
( ~ ( p @ SV3 @ SY15 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SY15 @ s1 @ s0 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(31,plain,
! [SV4: $i] :
( ( ~ ( p @ SV4 @ s0 @ s1 @ s1 @ s1 )
| ( p @ SV4 @ s1 @ s0 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(32,plain,
( ( ( ~ ( p @ s0 @ s1 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ s1 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(33,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV5: $i,SV1: $i] :
( ( ! [SY16: $i,SY17: $i] :
( ~ ( p @ SV1 @ SV5 @ SY16 @ SY17 @ s0 )
| ( p @ SV1 @ SV5 @ SY16 @ SY17 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY18: $i] :
( ~ ( p @ SV2 @ SV6 @ SY18 @ s0 @ s1 )
| ( p @ SV2 @ SV6 @ SY18 @ s1 @ s0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV7: $i,SV3: $i] :
( ( ~ ( p @ SV3 @ SV7 @ s0 @ s1 @ s1 )
| ( p @ SV3 @ SV7 @ s1 @ s0 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV4: $i] :
( ( ( ~ ( p @ SV4 @ s0 @ s1 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV4 @ s1 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
( ( ( p @ s0 @ s1 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ s1 @ s0 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ! [SY19: $i] :
( ~ ( p @ SV1 @ SV5 @ SV8 @ SY19 @ s0 )
| ( p @ SV1 @ SV5 @ SV8 @ SY19 @ s1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ~ ( p @ SV2 @ SV6 @ SV9 @ s0 @ s1 )
| ( p @ SV2 @ SV6 @ SV9 @ s1 @ s0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ( p @ SV3 @ SV7 @ s0 @ s1 @ s1 ) )
= $true )
| ( ( p @ SV3 @ SV7 @ s1 @ s0 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV4: $i] :
( ( ( p @ SV4 @ s0 @ s1 @ s1 @ s1 )
= $false )
| ( ( p @ SV4 @ s1 @ s0 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV10: $i,SV8: $i,SV5: $i,SV1: $i] :
( ( ~ ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s0 )
| ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( p @ SV2 @ SV6 @ SV9 @ s0 @ s1 ) )
= $true )
| ( ( p @ SV2 @ SV6 @ SV9 @ s1 @ s0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV7: $i,SV3: $i] :
( ( ( p @ SV3 @ SV7 @ s0 @ s1 @ s1 )
= $false )
| ( ( p @ SV3 @ SV7 @ s1 @ s0 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV10: $i,SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s0 ) )
= $true )
| ( ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ( p @ SV2 @ SV6 @ SV9 @ s0 @ s1 )
= $false )
| ( ( p @ SV2 @ SV6 @ SV9 @ s1 @ s0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV10: $i,SV8: $i,SV5: $i,SV1: $i] :
( ( ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s0 )
= $false )
| ( ( p @ SV1 @ SV5 @ SV8 @ SV10 @ s1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,48,47,45,42,38,33,27]) ).
thf(50,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MSC015-1.005 : TPTP v8.1.0. Released v3.5.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Fri Jul 1 16:04:34 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 7
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.13/0.41
% 0.13/0.41 ********************************
% 0.13/0.41 * All subproblems solved! *
% 0.13/0.41 ********************************
% 0.13/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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:49,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.41
% 0.13/0.41 %**** Beginning of derivation protocol ****
% 0.13/0.41 % SZS output start CNFRefutation
% See solution above
% 0.13/0.41
% 0.13/0.41 %**** End of derivation protocol ****
% 0.13/0.41 %**** no. of clauses in derivation: 50 ****
% 0.13/0.41 %**** clause counter: 49 ****
% 0.13/0.41
% 0.13/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:7,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:49,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------