TSTP Solution File: SEU920^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU920^5 : 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 : n024.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 12:15:45 EDT 2022
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 52 ( 35 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 41 ( 4 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 ^ 27 !; 13 ?; 40 :)
% 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_SY13,type,
sK3_SY13: c ).
thf(tp_sK4_SY12,type,
sK4_SY12: c > a ).
thf(1,conjecture,
! [F: a > b,G: b > c] :
( ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y )
=> ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cFN_THM_4_pme) ).
thf(2,negated_conjecture,
( ( ! [F: a > b,G: b > c] :
( ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y )
=> ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: a > b,G: b > c] :
( ! [Y: c] :
? [X: a] :
( ( G @ ( F @ X ) )
= Y )
=> ! [Y: c] :
? [X: b] :
( ( G @ X )
= Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: b > c] :
( ! [SY7: c] :
? [SY8: a] :
( ( SY6 @ ( sK1_F @ SY8 ) )
= SY7 )
=> ! [Y: c] :
? [X: b] :
( ( SY6 @ X )
= Y ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY11: c] :
? [SY12: a] :
( ( sK2_SY6 @ ( sK1_F @ SY12 ) )
= SY11 )
=> ! [SY13: c] :
? [SY14: b] :
( ( sK2_SY6 @ SY14 )
= SY13 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY11: c] :
? [SY12: a] :
( ( sK2_SY6 @ ( sK1_F @ SY12 ) )
= SY11 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY13: c] :
? [SY14: b] :
( ( sK2_SY6 @ SY14 )
= SY13 ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY13: c] :
? [SY14: b] :
( ( sK2_SY6 @ SY14 )
= SY13 ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY15: b] :
( ( sK2_SY6 @ SY15 )
!= sK3_SY13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY11: c] :
( ( sK2_SY6 @ ( sK1_F @ ( sK4_SY12 @ SY11 ) ) )
= SY11 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY11: c] :
( ( sK2_SY6 @ ( sK1_F @ ( sK4_SY12 @ SY11 ) ) )
= SY11 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY15: b] :
( ( sK2_SY6 @ SY15 )
!= sK3_SY13 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
! [SV1: c] :
( ( ( sK2_SY6 @ ( sK1_F @ ( sK4_SY12 @ SV1 ) ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: b] :
( ( ( ( sK2_SY6 @ SV2 )
!= sK3_SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: b] :
( ( ( sK2_SY6 @ SV2 )
= sK3_SY13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(16,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,15]) ).
thf(17,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU920^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n024.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 : Sun Jun 19 21:05:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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)
% 0.18/0.36 ********************************
% 0.18/0.36 * All subproblems solved! *
% 0.18/0.36 ********************************
% 0.18/0.36 % 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:16,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.36
% 0.18/0.36 %**** Beginning of derivation protocol ****
% 0.18/0.36 % SZS output start CNFRefutation
% See solution above
% 0.18/0.36
% 0.18/0.36 %**** End of derivation protocol ****
% 0.18/0.36 %**** no. of clauses in derivation: 17 ****
% 0.18/0.36 %**** clause counter: 16 ****
% 0.18/0.36
% 0.18/0.36 % 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:16,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------