TSTP Solution File: SWV972-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV972-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 : 300s
% DateTime : Tue May 21 05:53:24 EDT 2024
% Result : Unsatisfiable 17.59s 4.22s
% Output : Refutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 31 ( 10 unt; 15 typ; 0 def)
% Number of atoms : 28 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 218 ( 16 ~; 10 |; 0 &; 192 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-5 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_thesis_____type,type,
v_thesis____: $o ).
thf(c_List_Olist__all2_type,type,
c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).
thf(c_TypeRel_Owiden_type,type,
c_TypeRel_Owiden: $i > $i > $i ).
thf(v_P_type,type,
v_P: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
thf(tc_String_Ochar_type,type,
tc_String_Ochar: $i ).
thf(tc_Expr_Oexp_type,type,
tc_Expr_Oexp: $i > $i ).
thf(v_Us_____type,type,
v_Us____: $i ).
thf(tc_Type_Oty_type,type,
tc_Type_Oty: $i ).
thf(c_WellTypeRT_OWTrts_type,type,
c_WellTypeRT_OWTrts: $i > $i > $i > $i > $i > $o ).
thf(v_h_Ha_____type,type,
v_h_Ha____: $i ).
thf(v_E_____type,type,
v_E____: $i ).
thf(v_es_Ha_____type,type,
v_es_Ha____: $i ).
thf(v_sko__CHAINED__1_type,type,
v_sko__CHAINED__1: $i > $i > $i > $i > $i > $i ).
thf(385,axiom,
c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
thf(1372,plain,
c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(419,axiom,
c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(1440,plain,
c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(2,negated_conjecture,
! [A: $i] :
( v_thesis____
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(449,plain,
! [A: $i] :
( v_thesis____
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(451,plain,
! [A: $i] :
( v_thesis____
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
inference(cnf,[status(esa)],[449]) ).
thf(1,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(448,plain,
~ v_thesis____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(450,plain,
~ v_thesis____,
inference(polarity_switch,[status(thm)],[448]) ).
thf(1500,plain,
! [A: $i] :
( $false
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
inference(rewrite,[status(thm)],[451,450]) ).
thf(1501,plain,
! [A: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ),
inference(simp,[status(thm)],[1500]) ).
thf(1638,plain,
! [A: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty )
| ( ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) )
!= ( c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_es_Ha____ @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1440,1501]) ).
thf(1639,plain,
~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ) @ v_Us____ @ tc_Type_Oty @ tc_Type_Oty ),
inference(pattern_uni,[status(thm)],[1638:[bind(A,$thf( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_Us____ @ v_es_Ha____ @ v_h_Ha____ ))]]) ).
thf(2444,plain,
$false,
inference(rewrite,[status(thm)],[1372,1639]) ).
thf(2445,plain,
$false,
inference(simp,[status(thm)],[2444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV972-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n026.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 06:27:24 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.08 % [INFO] Parsing done (203ms).
% 1.74/1.09 % [INFO] Running in sequential loop mode.
% 2.16/1.29 % [INFO] nitpick registered as external prover.
% 2.16/1.29 % [INFO] Scanning for conjecture ...
% 2.62/1.40 % [INFO] Found a conjecture (or negated_conjecture) and 506 axioms. Running axiom selection ...
% 3.13/1.52 % [INFO] Axiom selection finished. Selected 445 axioms (removed 61 axioms).
% 3.53/1.66 % [INFO] Problem is propositional (TPTP CNF).
% 3.53/1.67 % [INFO] Type checking passed.
% 3.53/1.67 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 17.59/4.21 % [INFO] Killing All external provers ...
% 17.59/4.22 % Time passed: 3682ms (effective reasoning time: 3126ms)
% 17.59/4.22 % Axioms used in derivation (2): cls_CHAINED_1, cls_CHAINED_0
% 17.59/4.22 % No. of inferences in proof: 16
% 17.59/4.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3682 ms resp. 3126 ms w/o parsing
% 17.59/4.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.59/4.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------