TSTP Solution File: SEV168^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV168^5 : 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 : n032.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 17:35:28 EDT 2022
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 21 unt; 4 typ; 0 def)
% Number of atoms : 68 ( 46 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 80 ( 2 ~; 0 |; 3 &; 72 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 76 ^ 5 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_p,type,
p: ( a > a > a ) > a ).
thf(tp_q,type,
q: ( a > a > a ) > a ).
thf(tp_sK1_SV5,type,
sK1_SV5: a > a > a ).
thf(1,conjecture,
( ( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
& ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
=> ( p = q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM188_PARTIAL_pme) ).
thf(2,negated_conjecture,
( ( ( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
& ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
=> ( p = q ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
& ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) ) )
=> ( p = q ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( p = q )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ( p != q ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(10,plain,
( ( ( p != q ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SV1: a > a > a] :
( ( p @ SV1 )
= ( SV1
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( p
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [SV2: a > a > a] :
( ( q @ SV2 )
= ( SV2
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[9]) ).
thf(14,plain,
( ( q
= ( ^ [Xg: a > a > a] :
( Xg
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[9]) ).
thf(15,plain,
( ( p = q )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(16,plain,
! [SV3: a > a > a] :
( ( ( p @ SV3 )
= ( SV3
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(17,plain,
! [SV4: a > a > a] :
( ( ( q @ SV4 )
= ( SV4
@ ( q
@ ^ [Xx: a,Xy: a] : Xx )
@ ( q
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
( ( ! [SV5: a > a > a] :
( ( p @ SV5 )
= ( q @ SV5 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( p = q )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(20,plain,
( ( ( p @ sK1_SV5 )
= ( q @ sK1_SV5 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,20,19,17,16,14]) ).
thf(22,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEV168^5 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue Jun 28 14:43:12 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29
% 0.09/0.29 No.of.Axioms: 0
% 0.09/0.29
% 0.09/0.29 Length.of.Defs: 0
% 0.09/0.29
% 0.09/0.29 Contains.Choice.Funs: false
% 0.09/0.29 (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)
% 0.14/0.31 ********************************
% 0.14/0.31 * All subproblems solved! *
% 0.14/0.31 ********************************
% 0.14/0.31 % SZS status Theorem for /export/starexec/sandbox/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:21,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.31
% 0.14/0.31 %**** Beginning of derivation protocol ****
% 0.14/0.31 % SZS output start CNFRefutation
% See solution above
% 0.14/0.31
% 0.14/0.31 %**** End of derivation protocol ****
% 0.14/0.31 %**** no. of clauses in derivation: 22 ****
% 0.14/0.31 %**** clause counter: 21 ****
% 0.14/0.31
% 0.14/0.31 % SZS status Theorem for /export/starexec/sandbox/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:21,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------