TSTP Solution File: SYO307^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO307^5 : 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 : n017.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 : Thu Jul 21 17:33:17 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 76 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 273 ( 57 ~; 50 |; 18 &; 144 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 ^ 23 !; 4 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cR,type,
cR: $i > $o ).
thf(tp_cT,type,
cT: $i > $o ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_q,type,
q: $i > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $o ) > $i ).
thf(tp_sK2_SY4,type,
sK2_SY4: ( $i > $o ) > $i ).
thf(tp_sK3_SY6,type,
sK3_SY6: ( $i > $o ) > $i ).
thf(1,conjecture,
? [A: $i > $o] :
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( A @ Xx )
| ( ( A @ Xy )
& ( A @ Xz ) ) )
=> ( ( ( p @ Xx )
& ( cR @ Xy ) )
| ( ( q @ Xx )
& ( cT @ Xz ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE5F) ).
thf(2,negated_conjecture,
( ( ? [A: $i > $o] :
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( A @ Xx )
| ( ( A @ Xy )
& ( A @ Xz ) ) )
=> ( ( ( p @ Xx )
& ( cR @ Xy ) )
| ( ( q @ Xx )
& ( cT @ Xz ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [A: $i > $o] :
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( A @ Xx )
| ( ( A @ Xy )
& ( A @ Xz ) ) )
=> ( ( ( p @ Xx )
& ( cR @ Xy ) )
| ( ( q @ Xx )
& ( cT @ Xz ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [A: $i > $o] :
! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( A @ Xx )
| ( ( A @ Xy )
& ( A @ Xz ) ) )
=> ( ( ( p @ Xx )
& ( cR @ Xy ) )
| ( ( q @ Xx )
& ( cT @ Xz ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i > $o] :
( ( ( A @ ( sK2_SY4 @ A ) )
| ( A @ ( sK1_Xx @ A ) ) )
& ( ( A @ ( sK3_SY6 @ A ) )
| ( A @ ( sK1_Xx @ A ) ) )
& ( ~ ( cR @ ( sK2_SY4 @ A ) )
| ~ ( p @ ( sK1_Xx @ A ) ) )
& ( ~ ( cT @ ( sK3_SY6 @ A ) )
| ~ ( q @ ( sK1_Xx @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [A: $i > $o] :
( ( ( A @ ( sK2_SY4 @ A ) )
| ( A @ ( sK1_Xx @ A ) ) )
& ( ( A @ ( sK3_SY6 @ A ) )
| ( A @ ( sK1_Xx @ A ) ) )
& ( ~ ( cR @ ( sK2_SY4 @ A ) )
| ~ ( p @ ( sK1_Xx @ A ) ) )
& ( ~ ( cT @ ( sK3_SY6 @ A ) )
| ~ ( q @ ( sK1_Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $i > $o] :
~ ( ~ ~ ( ~ ( ( SX0 @ ( sK2_SY4 @ SX0 ) )
| ( SX0 @ ( sK1_Xx @ SX0 ) ) )
| ~ ( ( SX0 @ ( sK3_SY6 @ SX0 ) )
| ( SX0 @ ( sK1_Xx @ SX0 ) ) ) )
| ~ ~ ( ~ ( ~ ( cR @ ( sK2_SY4 @ SX0 ) )
| ~ ( p @ ( sK1_Xx @ SX0 ) ) )
| ~ ( ~ ( cT @ ( sK3_SY6 @ SX0 ) )
| ~ ( q @ ( sK1_Xx @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ~ ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK3_SY6 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
| ~ ~ ( ~ ( ~ ( cR @ ( sK2_SY4 @ SV1 ) )
| ~ ( p @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ~ ( cT @ ( sK3_SY6 @ SV1 ) )
| ~ ( q @ ( sK1_Xx @ SV1 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i > $o] :
( ( ~ ~ ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK3_SY6 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
| ~ ~ ( ~ ( ~ ( cR @ ( sK2_SY4 @ SV1 ) )
| ~ ( p @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ~ ( cT @ ( sK3_SY6 @ SV1 ) )
| ~ ( q @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i > $o] :
( ( ~ ~ ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK3_SY6 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK3_SY6 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(14,plain,
! [SV1: $i > $o] :
( ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ( SV1 @ ( sK3_SY6 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV1: $i > $o] :
( ( ~ ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(20,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(24,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK2_SY4 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(33,plain,
( ( $false = $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[24:[bind(SV1,$thf( ^ [SV4: $i] : $false ))]]) ).
thf(96,plain,
$false = $true,
inference(sim,[status(thm)],[33]) ).
thf(97,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO307^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n017.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 : Fri Jul 8 23:31:31 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 0
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.35 (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).
% 0.19/0.39
% 0.19/0.39 ********************************
% 0.19/0.39 * All subproblems solved! *
% 0.19/0.39 ********************************
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:96,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.39
% 0.19/0.39 %**** Beginning of derivation protocol ****
% 0.19/0.39 % SZS output start CNFRefutation
% See solution above
% 0.19/0.39
% 0.19/0.39 %**** End of derivation protocol ****
% 0.19/0.39 %**** no. of clauses in derivation: 18 ****
% 0.19/0.39 %**** clause counter: 96 ****
% 0.19/0.39
% 0.19/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:96,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------