TSTP Solution File: SYN411+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n005.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 08:26:02 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 33 unt; 7 typ; 0 def)
% Number of atoms : 113 ( 32 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 195 ( 42 ~; 4 |; 4 &; 138 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 8 con; 0-3 aty)
% Number of variables : 96 ( 0 ^ 75 !; 21 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $i > $i > $o ).
thf(tp_sK1_U,type,
sK1_U: $i ).
thf(tp_sK2_SY6,type,
sK2_SY6: $i ).
thf(tp_sK3_SY8,type,
sK3_SY8: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_sK5_SY9,type,
sK5_SY9: $i ).
thf(tp_sK6_SY11,type,
sK6_SY11: $i ).
thf(1,conjecture,
( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
<=> ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish250) ).
thf(2,negated_conjecture,
( ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
<=> ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
<=> ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
=> ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W )
=> ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
=> ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ~ ? [U: $i,V: $i,W: $i] :
~ ( f @ U @ V @ W )
=> ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
& ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [U: $i,V: $i,W: $i] : ( f @ U @ V @ W )
& ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ! [X: $i,Y: $i,Z: $i] : ( f @ X @ Y @ Z )
& ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 )
| ~ ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 )
| ~ ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ! [SY12: $i,SY13: $i] : ( f @ SV1 @ SY12 @ SY13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( f @ sK1_U @ sK2_SY6 @ sK3_SY8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY14: $i] : ( f @ SV1 @ SV2 @ SY14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( f @ SV1 @ SV2 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,20]) ).
thf(22,plain,
( ( ! [U: $i,V: $i,W: $i] : ( f @ U @ V @ W )
& ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 )
| ~ ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 )
| ~ ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
( ( ~ ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] : ( f @ SX0 @ SX1 @ SX2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV4: $i] :
( ( ! [SY15: $i,SY16: $i] : ( f @ SV4 @ SY15 @ SY16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( f @ sK4_X @ sK5_SY9 @ sK6_SY11 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV5: $i,SV4: $i] :
( ( ! [SY17: $i] : ( f @ SV4 @ SV5 @ SY17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV6: $i,SV5: $i,SV4: $i] :
( ( f @ SV4 @ SV5 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(33,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,32]) ).
thf(34,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[33,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n005.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 : Mon Jul 11 22:21:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.13/0.39
% 0.13/0.39 ********************************
% 0.13/0.39 * All subproblems solved! *
% 0.13/0.39 ********************************
% 0.13/0.39 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:33,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39
% 0.13/0.39 %**** Beginning of derivation protocol ****
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
% 0.13/0.39
% 0.13/0.39 %**** End of derivation protocol ****
% 0.13/0.39 %**** no. of clauses in derivation: 34 ****
% 0.13/0.39 %**** clause counter: 33 ****
% 0.13/0.39
% 0.13/0.39 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:33,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------