TSTP Solution File: LAT275-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT275-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.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 : Sun Jul 17 05:45:27 EDT 2022
% Result : Unsatisfiable 0.21s 0.38s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 34 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 70 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 133 ( 10 ~; 6 |; 0 &; 117 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Tarski_Olub,type,
c_Tarski_Olub: $i > $i > $i > $i ).
thf(tp_c_Tarski_Opotype_Opset,type,
c_Tarski_Opotype_Opset: $i > $i > $i > $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_tc_Product__Type_Ounit,type,
tc_Product__Type_Ounit: $i ).
thf(tp_tc_set,type,
tc_set: $i > $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_S,type,
v_S: $i ).
thf(tp_v_cl,type,
v_cl: $i ).
thf(1,axiom,
! [V_S: $i] :
( ~ ( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ v_A @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0) ).
thf(2,axiom,
( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
thf(3,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(4,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,negated_conjecture,
~ ( c_in @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(6,negated_conjecture,
c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(8,plain,
( ( ! [V_S: $i] :
( ~ ( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ v_A @ t_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ~ ( c_in @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(11,plain,
( ( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( c_in @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [V_S: $i] :
( ~ ( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ v_A @ t_a ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( c_in @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(19,plain,
! [SV1: $i] :
( ( ~ ( c_lessequals @ SV1 @ v_A @ ( tc_set @ t_a ) )
| ( c_in @ ( c_Tarski_Olub @ SV1 @ v_cl @ t_a ) @ v_A @ t_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( ~ ( c_lessequals @ SV1 @ v_A @ ( tc_set @ t_a ) ) )
= $true )
| ( ( c_in @ ( c_Tarski_Olub @ SV1 @ v_cl @ t_a ) @ v_A @ t_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV1: $i] :
( ( ( c_lessequals @ SV1 @ v_A @ ( tc_set @ t_a ) )
= $false )
| ( ( c_in @ ( c_Tarski_Olub @ SV1 @ v_cl @ t_a ) @ v_A @ t_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(23,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,22,20,18,15]) ).
thf(24,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT275-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 04:15:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 4
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.21/0.38 ********************************
% 0.21/0.38 * All subproblems solved! *
% 0.21/0.38 ********************************
% 0.21/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:23,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.38
% 0.21/0.38 %**** Beginning of derivation protocol ****
% 0.21/0.38 % SZS output start CNFRefutation
% See solution above
% 0.21/0.38
% 0.21/0.38 %**** End of derivation protocol ****
% 0.21/0.38 %**** no. of clauses in derivation: 24 ****
% 0.21/0.38 %**** clause counter: 23 ****
% 0.21/0.38
% 0.21/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:23,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------