TSTP Solution File: SEU936^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU936^5 : 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 : n018.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 22 unt; 7 typ; 0 def)
% Number of atoms : 103 ( 76 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 121 ( 19 ~; 8 |; 2 &; 74 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 45 ( 0 ^ 45 !; 0 ?; 45 :)
% 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_SY6,type,
sK2_SY6: b > c ).
thf(tp_sK3_SY9,type,
sK3_SY9: a ).
thf(tp_sK4_SY15,type,
sK4_SY15: a ).
thf(1,conjecture,
! [F: a > b,G: b > c] :
( ! [Xx: a,Xy: a] :
( ( ( G @ ( F @ Xx ) )
= ( G @ ( F @ Xy ) ) )
=> ( Xx = Xy ) )
=> ! [Xx: a,Xy: a] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_3_pme) ).
thf(2,negated_conjecture,
( ( ! [F: a > b,G: b > c] :
( ! [Xx: a,Xy: a] :
( ( ( G @ ( F @ Xx ) )
= ( G @ ( F @ Xy ) ) )
=> ( Xx = Xy ) )
=> ! [Xx: a,Xy: a] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: a > b,G: b > c] :
( ! [Xx: a,Xy: a] :
( ( ( G @ ( F @ Xx ) )
= ( G @ ( F @ Xy ) ) )
=> ( Xx = Xy ) )
=> ! [Xx: a,Xy: a] :
( ( ( F @ Xx )
= ( F @ Xy ) )
=> ( Xx = Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: b > c] :
( ! [SY7: a,SY8: a] :
( ( ( SY6 @ ( sK1_F @ SY7 ) )
= ( SY6 @ ( sK1_F @ SY8 ) ) )
=> ( SY7 = SY8 ) )
=> ! [SY9: a,SY10: a] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY11: a,SY12: a] :
( ( ( sK2_SY6 @ ( sK1_F @ SY11 ) )
= ( sK2_SY6 @ ( sK1_F @ SY12 ) ) )
=> ( SY11 = SY12 ) )
=> ! [SY9: a,SY10: a] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY11: a,SY12: a] :
( ( ( sK2_SY6 @ ( sK1_F @ SY11 ) )
= ( sK2_SY6 @ ( sK1_F @ SY12 ) ) )
=> ( SY11 = SY12 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY9: a,SY10: a] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY9: a,SY10: a] :
( ( ( sK1_F @ SY9 )
= ( sK1_F @ SY10 ) )
=> ( SY9 = SY10 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ( sK1_F @ sK3_SY9 )
= ( sK1_F @ sK4_SY15 ) )
& ( sK3_SY9 != sK4_SY15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY11: a,SY12: a] :
( ( ( sK2_SY6 @ ( sK1_F @ SY11 ) )
!= ( sK2_SY6 @ ( sK1_F @ SY12 ) ) )
| ( SY11 = SY12 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY11: a,SY12: a] :
( ( ( sK2_SY6 @ ( sK1_F @ SY11 ) )
!= ( sK2_SY6 @ ( sK1_F @ SY12 ) ) )
| ( SY11 = SY12 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ( ( sK1_F @ sK3_SY9 )
= ( sK1_F @ sK4_SY15 ) )
& ( sK3_SY9 != sK4_SY15 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ( ( sK1_F @ sK3_SY9 )
!= ( sK1_F @ sK4_SY15 ) )
| ~ ( ( sK3_SY9 != sK4_SY15 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: a] :
( ( ! [SY16: a] :
( ( ( sK2_SY6 @ ( sK1_F @ SV1 ) )
!= ( sK2_SY6 @ ( sK1_F @ SY16 ) ) )
| ( SV1 = SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( ( ( sK1_F @ sK3_SY9 )
!= ( sK1_F @ sK4_SY15 ) )
| ~ ( ( sK3_SY9 != sK4_SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: a,SV1: a] :
( ( ( ( sK2_SY6 @ ( sK1_F @ SV1 ) )
!= ( sK2_SY6 @ ( sK1_F @ SV2 ) ) )
| ( SV1 = SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ( ( sK1_F @ sK3_SY9 )
!= ( sK1_F @ sK4_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ( sK3_SY9 != sK4_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV2: a,SV1: a] :
( ( ( ( ( sK2_SY6 @ ( sK1_F @ SV1 ) )
!= ( sK2_SY6 @ ( sK1_F @ SV2 ) ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ( sK1_F @ sK3_SY9 )
= ( sK1_F @ sK4_SY15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ( sK3_SY9 != sK4_SY15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV2: a,SV1: a] :
( ( ( ( sK2_SY6 @ ( sK1_F @ SV1 ) )
= ( sK2_SY6 @ ( sK1_F @ SV2 ) ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( sK3_SY9 = sK4_SY15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,23,22]) ).
thf(25,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU936^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 05:58:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 0
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (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).
% 0.14/0.38
% 0.14/0.38 ********************************
% 0.14/0.38 * All subproblems solved! *
% 0.14/0.38 ********************************
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.38
% 0.14/0.38 %**** Beginning of derivation protocol ****
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
% 0.14/0.38
% 0.14/0.38 %**** End of derivation protocol ****
% 0.14/0.38 %**** no. of clauses in derivation: 25 ****
% 0.14/0.38 %**** clause counter: 24 ****
% 0.14/0.38
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------