TSTP Solution File: SWW490_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW490_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n012.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 18:25:28 EDT 2024
% Result : Theorem 95.25s 14.37s
% Output : Refutation 95.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 104 ( 9 ~; 3 |; 0 &; 90 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(comm_semiring_0_type,type,
comm_semiring_0:
!>[TA: $tType] : $o ).
thf(fundam296178794t_poly_type,type,
fundam296178794t_poly:
!>[TA: $tType] : ( ( poly @ TA ) > TA > ( poly @ TA ) ) ).
thf(zero_zero_type,type,
zero_zero:
!>[TA: $tType] : TA ).
thf(degree_type,type,
degree:
!>[TA: $tType] : ( ( poly @ TA ) > nat ) ).
thf(h_type,type,
h: a ).
thf(60,axiom,
! [TA: $tType] :
( ( comm_semiring_0 @ TA )
=> ! [A: TA] :
( ( fundam296178794t_poly @ TA @ ( zero_zero @ ( poly @ TA ) ) @ A )
= ( zero_zero @ ( poly @ TA ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_offset__poly__0) ).
thf(318,plain,
! [TA: $tType] :
( ( comm_semiring_0 @ TA )
=> ! [A: TA] :
( ( fundam296178794t_poly @ TA @ ( zero_zero @ ( poly @ TA ) ) @ A )
= ( zero_zero @ ( poly @ TA ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(319,plain,
! [TA: $tType,A: TA] :
( ~ ( comm_semiring_0 @ TA )
| ( ( fundam296178794t_poly @ TA @ ( zero_zero @ ( poly @ TA ) ) @ A )
= ( zero_zero @ ( poly @ TA ) ) ) ),
inference(cnf,[status(esa)],[318]) ).
thf(320,plain,
! [TA: $tType,A: TA] :
( ( ( fundam296178794t_poly @ TA @ ( zero_zero @ ( poly @ TA ) ) @ A )
= ( zero_zero @ ( poly @ TA ) ) )
| ~ ( comm_semiring_0 @ TA ) ),
inference(lifteq,[status(thm)],[319]) ).
thf(1,conjecture,
( ( degree @ a @ ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ h ) )
= ( degree @ a @ ( zero_zero @ ( poly @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
( ( degree @ a @ ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ h ) )
!= ( degree @ a @ ( zero_zero @ ( poly @ a ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(137,plain,
( ( degree @ a @ ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ h ) )
!= ( degree @ a @ ( zero_zero @ ( poly @ a ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(138,plain,
( ( degree @ a @ ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ h ) )
!= ( degree @ a @ ( zero_zero @ ( poly @ a ) ) ) ),
inference(lifteq,[status(thm)],[137]) ).
thf(25259,plain,
! [A: a] :
( ~ ( comm_semiring_0 @ a )
| ( ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ A )
!= ( fundam296178794t_poly @ a @ ( zero_zero @ ( poly @ a ) ) @ h ) ) ),
inference(paramod_ordered,[status(thm)],[320,138]) ).
thf(25260,plain,
~ ( comm_semiring_0 @ a ),
inference(pattern_uni,[status(thm)],[25259:[bind(A,$thf( h ))]]) ).
thf(111,axiom,
comm_semiring_0 @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).
thf(503,plain,
comm_semiring_0 @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(25526,plain,
~ $true,
inference(rewrite,[status(thm)],[25260,503]) ).
thf(25527,plain,
$false,
inference(simp,[status(thm)],[25526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW490_5 : TPTP v8.2.0. Released v6.0.0.
% 0.10/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 06:28:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.88/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.04 % [INFO] Parsing done (185ms).
% 1.54/1.05 % [INFO] Running in sequential loop mode.
% 2.14/1.26 % [INFO] nitpick registered as external prover.
% 2.14/1.27 % [INFO] Scanning for conjecture ...
% 2.42/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 134 axioms. Running axiom selection ...
% 2.59/1.43 % [INFO] Axiom selection finished. Selected 134 axioms (removed 0 axioms).
% 3.06/1.56 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.06/1.58 % [INFO] Type checking passed.
% 3.06/1.58 % [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 ...
% 3.51/1.72 % [INFO] [Domain constraints] Detected constraint on bool
% 3.51/1.72 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 95.25/14.36 % [INFO] Killing All external provers ...
% 95.25/14.36 % Time passed: 13837ms (effective reasoning time: 13306ms)
% 95.25/14.36 % 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)>
% 95.25/14.37 % Axioms used in derivation (2): fact_0_offset__poly__0, tfree_0
% 95.25/14.37 % No. of inferences in proof: 14
% 95.25/14.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 13837 ms resp. 13306 ms w/o parsing
% 95.34/14.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 95.34/14.41 % [INFO] Killing All external provers ...
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