TSTP Solution File: SWW572_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW572_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n002.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 : Mon Jun 24 18:25:37 EDT 2024
% Result : Theorem 9.32s 3.26s
% Output : Refutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 12 con; 0-5 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(char_type,type,
char: $tType ).
thf(ty_type,type,
ty: $tType ).
thf(val_type,type,
val: $tType ).
thf(class_type,type,
class: ( list @ char ) > ty ).
thf(wTrt_type,type,
wTrt: ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) ) ) ) ) ) ) ) ) > ( fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ) > ( fun @ ( list @ char ) @ ( option @ ty ) ) > ( exp @ ( list @ char ) ) > ty > $o ).
thf(c_type,type,
c: list @ char ).
thf(e_type,type,
e: fun @ ( list @ char ) @ ( option @ ty ) ).
thf(p_type,type,
p: list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) ) ) ) ) ) ) ) ).
thf(u_type,type,
u: ty ).
thf(e_a_type,type,
e_a: exp @ ( list @ char ) ).
thf(h_a_type,type,
h_a: fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ).
thf(88,axiom,
wTrt @ p @ h_a @ e @ e_a @ u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_wt_092_060_094isub_0621_H) ).
thf(421,plain,
wTrt @ p @ h_a @ e @ e_a @ u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(1,conjecture,
wTrt @ p @ h_a @ e @ e_a @ ( class @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( wTrt @ p @ h_a @ e @ e_a @ ( class @ c ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(103,plain,
~ ( wTrt @ p @ h_a @ e @ e_a @ ( class @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(76,axiom,
( u
= ( class @ c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_UClass) ).
thf(368,plain,
( u
= ( class @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(369,plain,
( ( class @ c )
= u ),
inference(lifteq,[status(thm)],[368]) ).
thf(452,plain,
~ ( wTrt @ p @ h_a @ e @ e_a @ u ),
inference(rewrite,[status(thm)],[103,369]) ).
thf(465,plain,
$false,
inference(rewrite,[status(thm)],[421,452]) ).
thf(466,plain,
$false,
inference(simp,[status(thm)],[465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW572_5 : TPTP v8.2.0. Released v6.0.0.
% 0.06/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n002.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 : 300
% 0.12/0.33 % DateTime : Wed Jun 19 09:42:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.76/1.09 % [INFO] Parsing done (214ms).
% 1.76/1.09 % [INFO] Running in sequential loop mode.
% 2.28/1.30 % [INFO] nitpick registered as external prover.
% 2.28/1.31 % [INFO] Scanning for conjecture ...
% 2.87/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 102 axioms. Running axiom selection ...
% 3.04/1.52 % [INFO] Axiom selection finished. Selected 100 axioms (removed 2 axioms).
% 3.97/1.73 % [INFO] Problem is typed first-order (TPTP TFF).
% 4.21/1.75 % [INFO] Type checking passed.
% 4.21/1.75 % [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 ...
% 9.32/3.26 % [INFO] Killing All external provers ...
% 9.32/3.26 % Time passed: 2725ms (effective reasoning time: 2163ms)
% 9.32/3.26 % Solved by 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)>
% 9.32/3.26 % Axioms used in derivation (2): fact_1_wt_092_060_094isub_0621_H, fact_0_UClass
% 9.32/3.26 % No. of inferences in proof: 11
% 9.32/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2725 ms resp. 2163 ms w/o parsing
% 9.32/3.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.32/3.28 % [INFO] Killing All external provers ...
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