TSTP Solution File: SEV286^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV286^5 : 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 17:36:02 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 13 unt; 5 typ; 0 def)
% Number of atoms : 44 ( 30 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 28 ( 2 ~; 0 |; 0 &; 20 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_F,type,
sK1_F: a > b ).
thf(tp_sK2_SY3,type,
sK2_SY3: a ).
thf(tp_sK3_SY5,type,
sK3_SY5: a ).
thf(1,conjecture,
! [F: a > b,A: a,B: a] :
( ( A = B )
=> ( ( F @ A )
= ( F @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEC_eq_) ).
thf(2,negated_conjecture,
( ( ! [F: a > b,A: a,B: a] :
( ( A = B )
=> ( ( F @ A )
= ( F @ B ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [F: a > b,A: a,B: a] :
( ( A = B )
=> ( ( F @ A )
= ( F @ B ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY3: a,SY4: a] :
( ( SY3 = SY4 )
=> ( ( sK1_F @ SY3 )
= ( sK1_F @ SY4 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY5: a] :
( ( sK2_SY3 = SY5 )
=> ( ( sK1_F @ sK2_SY3 )
= ( sK1_F @ SY5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( sK2_SY3 = sK3_SY5 )
=> ( ( sK1_F @ sK2_SY3 )
= ( sK1_F @ sK3_SY5 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( sK2_SY3 = sK3_SY5 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ( sK1_F @ sK2_SY3 )
= ( sK1_F @ sK3_SY5 ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ( ( sK1_F @ sK2_SY3 )
!= ( sK1_F @ sK3_SY5 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( sK2_SY3 = sK3_SY5 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ( ( sK1_F @ sK2_SY3 )
!= ( sK1_F @ sK3_SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ( sK1_F @ sK2_SY3 )
= ( sK1_F @ sK3_SY5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,12]) ).
thf(14,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV286^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n018.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 : Mon Jun 27 17:52:13 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)
% 0.19/0.37 ********************************
% 0.19/0.37 * All subproblems solved! *
% 0.19/0.37 ********************************
% 0.19/0.37 % 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:13,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.37
% 0.19/0.37 %**** Beginning of derivation protocol ****
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
% 0.19/0.37
% 0.19/0.37 %**** End of derivation protocol ****
% 0.19/0.37 %**** no. of clauses in derivation: 14 ****
% 0.19/0.37 %**** clause counter: 13 ****
% 0.19/0.37
% 0.19/0.37 % 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:13,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------