TSTP Solution File: PUZ063-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ063-2 : 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 : n021.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 : Mon Jul 18 18:19:33 EDT 2022
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 20 unt; 8 typ; 0 def)
% Number of atoms : 50 ( 20 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 74 ( 5 ~; 0 |; 0 &; 69 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Mutil_Otiling,type,
c_Mutil_Otiling: $i > $i > $i ).
thf(tp_c_emptyset,type,
c_emptyset: $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_union,type,
c_union: $i > $i > $i > $i ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_tc_set,type,
tc_set: $i > $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_u,type,
v_u: $i ).
thf(1,axiom,
! [V_y: $i,T_a: $i] :
( ( c_union @ c_emptyset @ V_y @ T_a )
= V_y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
thf(2,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(3,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,negated_conjecture,
~ ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(5,negated_conjecture,
c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(6,plain,
$false = $false,
inference(unfold_def,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [V_y: $i,T_a: $i] :
( ( c_union @ c_emptyset @ V_y @ T_a )
= V_y ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ~ ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(9,plain,
( ( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( c_in @ v_u @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [V_y: $i,T_a: $i] :
( ( c_union @ c_emptyset @ V_y @ T_a )
= V_y ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( c_in @ ( c_union @ c_emptyset @ v_u @ t_a ) @ ( c_Mutil_Otiling @ v_A @ t_a ) @ ( tc_set @ t_a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY2: $i] :
( ( c_union @ c_emptyset @ SV1 @ SY2 )
= SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i,SV1: $i] :
( ( ( c_union @ c_emptyset @ SV1 @ SV2 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,18,17,15]) ).
thf(20,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ063-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 20:49:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 3
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.18/0.36 ********************************
% 0.18/0.36 * All subproblems solved! *
% 0.18/0.36 ********************************
% 0.18/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:19,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.36
% 0.18/0.36 %**** Beginning of derivation protocol ****
% 0.18/0.36 % SZS output start CNFRefutation
% See solution above
% 0.18/0.36
% 0.18/0.36 %**** End of derivation protocol ****
% 0.18/0.36 %**** no. of clauses in derivation: 20 ****
% 0.18/0.36 %**** clause counter: 19 ****
% 0.18/0.36
% 0.18/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:19,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------