TSTP Solution File: SEU935^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU935^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.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 : Tue Jul 19 12:15:48 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 20 unt; 8 typ; 0 def)
% Number of atoms : 69 ( 48 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 60 ( 4 ~; 0 |; 5 &; 46 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 0 ^ 36 !; 19 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_sK1_F,type,
sK1_F: a > b ).
thf(tp_sK2_SY8,type,
sK2_SY8: b > c ).
thf(tp_sK3_SY19,type,
sK3_SY19: c ).
thf(tp_sK4_SY10,type,
sK4_SY10: b > a ).
thf(tp_sK5_SY18,type,
sK5_SY18: c > b ).
thf(1,conjecture,
! [F: a > b,G: b > c] :
( ( ! [Y: b] :
? [X: a] :
( ( F @ X )
= Y )
& ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) )
=> ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cFN_THM_2_pme) ).
thf(2,negated_conjecture,
( ( ! [F: a > b,G: b > c] :
( ( ! [Y: b] :
? [X: a] :
( ( F @ X )
= Y )
& ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) )
=> ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: a > b,G: b > c] :
( ( ! [Y: b] :
? [X: a] :
( ( F @ X )
= Y )
& ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) )
=> ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY8: b > c] :
( ( ! [SY9: b] :
? [SY10: a] :
( ( sK1_F @ SY10 )
= SY9 )
& ! [Y: c] :
? [X: b] :
( ( SY8 @ X )
= Y ) )
=> ! [SY13: c] :
? [SY14: a] :
( ( SY8 @ ( sK1_F @ SY14 ) )
= SY13 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY9: b] :
? [SY10: a] :
( ( sK1_F @ SY10 )
= SY9 )
& ! [SY17: c] :
? [SY18: b] :
( ( sK2_SY8 @ SY18 )
= SY17 ) )
=> ! [SY19: c] :
? [SY20: a] :
( ( sK2_SY8 @ ( sK1_F @ SY20 ) )
= SY19 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY9: b] :
? [SY10: a] :
( ( sK1_F @ SY10 )
= SY9 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY17: c] :
? [SY18: b] :
( ( sK2_SY8 @ SY18 )
= SY17 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY19: c] :
? [SY20: a] :
( ( sK2_SY8 @ ( sK1_F @ SY20 ) )
= SY19 ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [SY19: c] :
? [SY20: a] :
( ( sK2_SY8 @ ( sK1_F @ SY20 ) )
= SY19 ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY21: a] :
( ( sK2_SY8 @ ( sK1_F @ SY21 ) )
!= sK3_SY19 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY9: b] :
( ( sK1_F @ ( sK4_SY10 @ SY9 ) )
= SY9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [SY17: c] :
( ( sK2_SY8 @ ( sK5_SY18 @ SY17 ) )
= SY17 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY17: c] :
( ( sK2_SY8 @ ( sK5_SY18 @ SY17 ) )
= SY17 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY9: b] :
( ( sK1_F @ ( sK4_SY10 @ SY9 ) )
= SY9 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY21: a] :
( ( sK2_SY8 @ ( sK1_F @ SY21 ) )
!= sK3_SY19 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
! [SV1: c] :
( ( ( sK2_SY8 @ ( sK5_SY18 @ SV1 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV2: b] :
( ( ( sK1_F @ ( sK4_SY10 @ SV2 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: a] :
( ( ( ( sK2_SY8 @ ( sK1_F @ SV3 ) )
!= sK3_SY19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: a] :
( ( ( sK2_SY8 @ ( sK1_F @ SV3 ) )
= sK3_SY19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,19,17]) ).
thf(21,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU935^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 12:13:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:0,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.12/0.38
% 0.12/0.38 ********************************
% 0.12/0.38 * All subproblems solved! *
% 0.12/0.38 ********************************
% 0.12/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.38
% 0.12/0.38 %**** Beginning of derivation protocol ****
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
% 0.12/0.38
% 0.12/0.38 %**** End of derivation protocol ****
% 0.12/0.38 %**** no. of clauses in derivation: 21 ****
% 0.12/0.38 %**** clause counter: 20 ****
% 0.12/0.38
% 0.12/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------