TSTP Solution File: SEU937^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU937^5 : 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 : n026.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 12:15:49 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 27 unt; 7 typ; 0 def)
% Number of atoms : 145 ( 109 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 169 ( 24 ~; 14 |; 7 &; 100 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 0 ^ 69 !; 0 ?; 69 :)
% 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: b > a ).
thf(tp_sK2_SY8,type,
sK2_SY8: c > b ).
thf(tp_sK3_SY19,type,
sK3_SY19: c ).
thf(tp_sK4_SY21,type,
sK4_SY21: c ).
thf(1,conjecture,
! [F: b > a,G: c > b] :
( ( ! [Xx: b,Xy: b] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) )
& ! [Xx: c,Xy: c] :
( ( ( G @ Xx )
= ( G @ Xy ) )
=> ( Xx = Xy ) ) )
=> ! [Xx: c,Xy: c] :
( ( ( F @ ( G @ Xx ) )
= ( F @ ( G @ Xy ) ) )
=> ( Xx = Xy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM48_pme) ).
thf(2,negated_conjecture,
( ( ! [F: b > a,G: c > b] :
( ( ! [Xx: b,Xy: b] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) )
& ! [Xx: c,Xy: c] :
( ( ( G @ Xx )
= ( G @ Xy ) )
=> ( Xx = Xy ) ) )
=> ! [Xx: c,Xy: c] :
( ( ( F @ ( G @ Xx ) )
= ( F @ ( G @ Xy ) ) )
=> ( Xx = Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: b > a,G: c > b] :
( ( ! [Xx: b,Xy: b] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) )
& ! [Xx: c,Xy: c] :
( ( ( G @ Xx )
= ( G @ Xy ) )
=> ( Xx = Xy ) ) )
=> ! [Xx: c,Xy: c] :
( ( ( F @ ( G @ Xx ) )
= ( F @ ( G @ Xy ) ) )
=> ( Xx = Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY8: c > b] :
( ( ! [SY9: b,SY10: b] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) )
& ! [Xx: c,Xy: c] :
( ( ( SY8 @ Xx )
= ( SY8 @ Xy ) )
=> ( Xx = Xy ) ) )
=> ! [SY13: c,SY14: c] :
( ( ( sK1_F @ ( SY8 @ SY13 ) )
= ( sK1_F @ ( SY8 @ SY14 ) ) )
=> ( SY13 = SY14 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY9: b,SY10: b] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) )
& ! [SY17: c,SY18: c] :
( ( ( sK2_SY8 @ SY17 )
= ( sK2_SY8 @ SY18 ) )
=> ( SY17 = SY18 ) ) )
=> ! [SY19: c,SY20: c] :
( ( ( sK1_F @ ( sK2_SY8 @ SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ SY20 ) ) )
=> ( SY19 = SY20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY9: b,SY10: b] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY17: c,SY18: c] :
( ( ( sK2_SY8 @ SY17 )
= ( sK2_SY8 @ SY18 ) )
=> ( SY17 = SY18 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY19: c,SY20: c] :
( ( ( sK1_F @ ( sK2_SY8 @ SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ SY20 ) ) )
=> ( SY19 = SY20 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [SY19: c,SY20: c] :
( ( ( sK1_F @ ( sK2_SY8 @ SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ SY20 ) ) )
=> ( SY19 = SY20 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) )
& ( sK3_SY19 != sK4_SY21 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY9: b,SY10: b] :
( ( ( sK1_F @ SY9 )
!= ( sK1_F @ SY10 ) )
| ( SY9 = SY10 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [SY17: c,SY18: c] :
( ( ( sK2_SY8 @ SY17 )
!= ( sK2_SY8 @ SY18 ) )
| ( SY17 = SY18 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY17: c,SY18: c] :
( ( ( sK2_SY8 @ SY17 )
!= ( sK2_SY8 @ SY18 ) )
| ( SY17 = SY18 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY9: b,SY10: b] :
( ( ( sK1_F @ SY9 )
!= ( sK1_F @ SY10 ) )
| ( SY9 = SY10 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) )
& ( sK3_SY19 != sK4_SY21 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ~ ( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
!= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) )
| ~ ( ( sK3_SY19 != sK4_SY21 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: c] :
( ( ! [SY22: c] :
( ( ( sK2_SY8 @ SV1 )
!= ( sK2_SY8 @ SY22 ) )
| ( SV1 = SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV2: b] :
( ( ! [SY23: b] :
( ( ( sK1_F @ SV2 )
!= ( sK1_F @ SY23 ) )
| ( SV2 = SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
( ( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
!= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) )
| ~ ( ( sK3_SY19 != sK4_SY21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV3: c,SV1: c] :
( ( ( ( sK2_SY8 @ SV1 )
!= ( sK2_SY8 @ SV3 ) )
| ( SV1 = SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV4: b,SV2: b] :
( ( ( ( sK1_F @ SV2 )
!= ( sK1_F @ SV4 ) )
| ( SV2 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
!= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ( sK3_SY19 != sK4_SY21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV3: c,SV1: c] :
( ( ( ( ( sK2_SY8 @ SV1 )
!= ( sK2_SY8 @ SV3 ) ) )
= $true )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV4: b,SV2: b] :
( ( ( ( ( sK1_F @ SV2 )
!= ( sK1_F @ SV4 ) ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ( sK1_F @ ( sK2_SY8 @ sK3_SY19 ) )
= ( sK1_F @ ( sK2_SY8 @ sK4_SY21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ( sK3_SY19 != sK4_SY21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV3: c,SV1: c] :
( ( ( ( sK2_SY8 @ SV1 )
= ( sK2_SY8 @ SV3 ) )
= $false )
| ( ( SV1 = SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV4: b,SV2: b] :
( ( ( ( sK1_F @ SV2 )
= ( sK1_F @ SV4 ) )
= $false )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( sK3_SY19 = sK4_SY21 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,30,29,28]) ).
thf(32,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU937^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 21:18:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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).
% 0.13/0.38
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % 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:31,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 32 ****
% 0.13/0.38 %**** clause counter: 31 ****
% 0.13/0.38
% 0.13/0.38 % 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:31,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------