TSTP Solution File: SEV434^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV434^1 : TPTP v8.1.0. Released v5.2.0.
% 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 17:36:42 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 59 unt; 5 typ; 0 def)
% Number of atoms : 318 ( 176 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 191 ( 48 ~; 31 |; 4 &; 108 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 26 !; 2 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $o > $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY5,type,
sK2_SY5: $i ).
thf(tp_sK3_SY7,type,
sK3_SY7: $i ).
thf(tp_sK4_X,type,
sK4_X: $i > $o ).
thf(1,axiom,
! [Y: $i] :
? [X: $o] :
( ( f @ X )
= Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fsurj) ).
thf(2,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
thf(3,negated_conjecture,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( X = Y )
| ( X = Z )
| ( Y = Z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Y: $i] :
? [X: $o] :
( ( f @ X )
= Y ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ! [SY5: $i,SY6: $i] :
( ( sK1_X = SY5 )
| ( sK1_X = SY6 )
| ( SY5 = SY6 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(7,plain,
( ( ! [SY7: $i] :
( ( sK1_X = sK2_SY5 )
| ( sK1_X = SY7 )
| ( sK2_SY5 = SY7 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ( sK1_X = sK2_SY5 )
| ( sK1_X = sK3_SY7 )
| ( sK2_SY5 = sK3_SY7 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ~ ( ( sK1_X = sK2_SY5 )
| ( sK1_X = sK3_SY7 )
| ( sK2_SY5 = sK3_SY7 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ( sK2_SY5 != sK3_SY7 )
& ( sK1_X != sK2_SY5 )
& ( sK1_X != sK3_SY7 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [Y: $i] :
( ( f @ ( sK4_X @ Y ) )
= Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [Y: $i] :
( ( f @ ( sK4_X @ Y ) )
= Y ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ( sK2_SY5 != sK3_SY7 )
& ( sK1_X != sK2_SY5 )
& ( sK1_X != sK3_SY7 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ( ~ ( ( sK2_SY5 != sK3_SY7 ) )
| ~ ~ ( ~ ( ( sK1_X != sK2_SY5 ) )
| ~ ( ( sK1_X != sK3_SY7 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i] :
( ( ( f @ ( sK4_X @ SV1 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ( ( sK2_SY5 != sK3_SY7 ) )
| ~ ~ ( ~ ( ( sK1_X != sK2_SY5 ) )
| ~ ( ( sK1_X != sK3_SY7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ( sK2_SY5 != sK3_SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( ( sK1_X != sK2_SY5 ) )
| ~ ( ( sK1_X != sK3_SY7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ( sK2_SY5 != sK3_SY7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ( ~ ( ( sK1_X != sK2_SY5 ) )
| ~ ( ( sK1_X != sK3_SY7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( sK2_SY5 = sK3_SY7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ( ( sK1_X != sK2_SY5 ) )
| ~ ( ( sK1_X != sK3_SY7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( ( sK1_X != sK2_SY5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ( ( sK1_X != sK3_SY7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ( sK1_X != sK2_SY5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( ( sK1_X != sK3_SY7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( sK1_X = sK2_SY5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( sK1_X = sK3_SY7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV2: $i] :
( ( ( f @ ( sK4_X @ SV2 ) )
= SV2 )
= $true ),
inference(rename,[status(thm)],[15]) ).
thf(30,plain,
! [SV2: $i] :
( ( ( sK2_SY5 = sK3_SY7 )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[21,29]) ).
thf(31,plain,
( ( sK3_SY7
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= $false ),
inference(extuni,[status(esa)],[30:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(32,plain,
( ( sK2_SY5
= ( f @ ( sK4_X @ sK3_SY7 ) ) )
= $false ),
inference(extuni,[status(esa)],[30:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( sK1_X = sK2_SY5 )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[27,29]) ).
thf(34,plain,
( ( sK2_SY5
= ( f @ ( sK4_X @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[33:[bind(SV2,$thf( sK1_X ))]]) ).
thf(35,plain,
( ( sK1_X
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= $false ),
inference(extuni,[status(esa)],[33:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(36,plain,
! [SV2: $i] :
( ( ( sK1_X = sK3_SY7 )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[28,29]) ).
thf(37,plain,
( ( sK3_SY7
= ( f @ ( sK4_X @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[36:[bind(SV2,$thf( sK1_X ))]]) ).
thf(38,plain,
( ( sK1_X
= ( f @ ( sK4_X @ sK3_SY7 ) ) )
= $false ),
inference(extuni,[status(esa)],[36:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( sK3_SY7
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[31,29]) ).
thf(40,plain,
( ( sK3_SY7 = sK2_SY5 )
= $false ),
inference(extuni,[status(esa)],[39:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(41,plain,
( ( ( sK4_X @ sK2_SY5 )
= $true )
| ( ( sK4_X @ sK3_SY7 )
= $true ) ),
inference(extuni,[status(esa)],[39:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(42,plain,
( ( ( sK4_X @ sK2_SY5 )
= $false )
| ( ( sK4_X @ sK3_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[39:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(43,plain,
( ( ( f @ ( sK4_X @ sK2_SY5 ) )
= ( f @ ( sK4_X @ sK3_SY7 ) ) )
= $false ),
inference(extuni,[status(esa)],[39:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(44,plain,
( ( sK3_SY7
= ( f @ ( sK4_X @ ( f @ ( sK4_X @ sK2_SY5 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[39:[bind(SV2,$thf( f @ ( sK4_X @ sK2_SY5 ) ))]]) ).
thf(45,plain,
! [SV2: $i] :
( ( ( sK2_SY5
= ( f @ ( sK4_X @ sK3_SY7 ) ) )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[32,29]) ).
thf(46,plain,
( ( sK2_SY5 = sK3_SY7 )
= $false ),
inference(extuni,[status(esa)],[45:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(47,plain,
( ( ( sK4_X @ sK3_SY7 )
= $true )
| ( ( sK4_X @ sK2_SY5 )
= $true ) ),
inference(extuni,[status(esa)],[45:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(48,plain,
( ( ( sK4_X @ sK3_SY7 )
= $false )
| ( ( sK4_X @ sK2_SY5 )
= $false ) ),
inference(extuni,[status(esa)],[45:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(49,plain,
( ( ( f @ ( sK4_X @ sK3_SY7 ) )
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= $false ),
inference(extuni,[status(esa)],[45:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(50,plain,
( ( sK2_SY5
= ( f @ ( sK4_X @ ( f @ ( sK4_X @ sK3_SY7 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[45:[bind(SV2,$thf( f @ ( sK4_X @ sK3_SY7 ) ))]]) ).
thf(51,plain,
! [SV2: $i] :
( ( ( sK2_SY5
= ( f @ ( sK4_X @ sK1_X ) ) )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[34,29]) ).
thf(52,plain,
( ( sK2_SY5 = sK1_X )
= $false ),
inference(extuni,[status(esa)],[51:[bind(SV2,$thf( sK1_X ))]]) ).
thf(53,plain,
( ( ( sK4_X @ sK1_X )
= $true )
| ( ( sK4_X @ sK2_SY5 )
= $true ) ),
inference(extuni,[status(esa)],[51:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(54,plain,
( ( ( sK4_X @ sK1_X )
= $false )
| ( ( sK4_X @ sK2_SY5 )
= $false ) ),
inference(extuni,[status(esa)],[51:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(55,plain,
( ( ( f @ ( sK4_X @ sK1_X ) )
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= $false ),
inference(extuni,[status(esa)],[51:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(56,plain,
( ( sK2_SY5
= ( f @ ( sK4_X @ ( f @ ( sK4_X @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[51:[bind(SV2,$thf( f @ ( sK4_X @ sK1_X ) ))]]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( sK1_X
= ( f @ ( sK4_X @ sK2_SY5 ) ) )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[35,29]) ).
thf(58,plain,
( ( sK1_X = sK2_SY5 )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV2,$thf( sK2_SY5 ))]]) ).
thf(59,plain,
( ( ( sK4_X @ sK2_SY5 )
= $true )
| ( ( sK4_X @ sK1_X )
= $true ) ),
inference(extuni,[status(esa)],[57:[bind(SV2,$thf( sK1_X ))]]) ).
thf(60,plain,
( ( ( sK4_X @ sK2_SY5 )
= $false )
| ( ( sK4_X @ sK1_X )
= $false ) ),
inference(extuni,[status(esa)],[57:[bind(SV2,$thf( sK1_X ))]]) ).
thf(61,plain,
( ( ( f @ ( sK4_X @ sK2_SY5 ) )
= ( f @ ( sK4_X @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV2,$thf( sK1_X ))]]) ).
thf(62,plain,
( ( sK1_X
= ( f @ ( sK4_X @ ( f @ ( sK4_X @ sK2_SY5 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV2,$thf( f @ ( sK4_X @ sK2_SY5 ) ))]]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( sK3_SY7
= ( f @ ( sK4_X @ sK1_X ) ) )
= ( ( f @ ( sK4_X @ SV2 ) )
= SV2 ) )
= $false ),
inference(res,[status(thm)],[37,29]) ).
thf(64,plain,
( ( sK3_SY7 = sK1_X )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV2,$thf( sK1_X ))]]) ).
thf(65,plain,
( ( ( sK4_X @ sK1_X )
= $true )
| ( ( sK4_X @ sK3_SY7 )
= $true ) ),
inference(extuni,[status(esa)],[63:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(66,plain,
( ( ( sK4_X @ sK1_X )
= $false )
| ( ( sK4_X @ sK3_SY7 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(67,plain,
( ( ( f @ ( sK4_X @ sK1_X ) )
= ( f @ ( sK4_X @ sK3_SY7 ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV2,$thf( sK3_SY7 ))]]) ).
thf(68,plain,
( ( sK3_SY7
= ( f @ ( sK4_X @ ( f @ ( sK4_X @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV2,$thf( f @ ( sK4_X @ sK1_X ) ))]]) ).
thf(69,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,68,67,66,65,64,62,61,60,59,58,56,55,54,53,52,50,49,48,47,46,44,43,42,41,40,38,37,35,34,32,31,29,28,27]) ).
thf(70,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEV434^1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.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 Jun 27 22:40:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 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: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:3,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.50
% 0.20/0.50 ********************************
% 0.20/0.50 * All subproblems solved! *
% 0.20/0.50 ********************************
% 0.20/0.50 % 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:69,loop_count:10,foatp_calls:2,translation:fof_full)
% 0.20/0.51
% 0.20/0.51 %**** Beginning of derivation protocol ****
% 0.20/0.51 % SZS output start CNFRefutation
% See solution above
% 0.20/0.51
% 0.20/0.51 %**** End of derivation protocol ****
% 0.20/0.51 %**** no. of clauses in derivation: 70 ****
% 0.20/0.51 %**** clause counter: 69 ****
% 0.20/0.51
% 0.20/0.51 % 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:69,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------