TSTP Solution File: SWW492_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW492_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% 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 : 300s
% DateTime : Mon Jun 24 18:25:28 EDT 2024
% Result : Theorem 7.26s 3.24s
% Output : Refutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 37 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 142 ( 27 ~; 7 |; 2 &; 94 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 ^ 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(zero_zero_type,type,
zero_zero:
!>[TA: $tType] : TA ).
thf(suc_type,type,
suc: nat > nat ).
thf(degree_type,type,
degree:
!>[TA: $tType] : ( ( poly @ TA ) > nat ) ).
thf(p_type,type,
p: poly @ a ).
thf(1,conjecture,
~ ( ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) )
<=> ( p
!= ( zero_zero @ ( poly @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ~ ( ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) )
<=> ( p
!= ( zero_zero @ ( poly @ a ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(128,plain,
~ ~ ( ( ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) )
=> ( p
!= ( zero_zero @ ( poly @ a ) ) ) )
& ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(129,plain,
( ( ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) )
=> ( p
!= ( zero_zero @ ( poly @ a ) ) ) )
& ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( p
!= ( zero_zero @ ( poly @ a ) ) )
=> ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) ) ) ),
inference(polarity_switch,[status(thm)],[128]) ).
thf(130,plain,
( ( p
= ( zero_zero @ ( poly @ a ) ) )
| ( p
= ( zero_zero @ ( poly @ a ) ) )
| ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) ),
inference(cnf,[status(esa)],[129]) ).
thf(133,plain,
( ( p
= ( zero_zero @ ( poly @ a ) ) )
| ( p
= ( zero_zero @ ( poly @ a ) ) )
| ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) ),
inference(lifteq,[status(thm)],[130]) ).
thf(134,plain,
( ( p
= ( zero_zero @ ( poly @ a ) ) )
| ( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ) ),
inference(simp,[status(thm)],[133]) ).
thf(131,plain,
( ( p
!= ( zero_zero @ ( poly @ a ) ) )
| ( p
!= ( zero_zero @ ( poly @ a ) ) ) ),
inference(cnf,[status(esa)],[129]) ).
thf(135,plain,
( ( p
!= ( zero_zero @ ( poly @ a ) ) )
| ( p
!= ( zero_zero @ ( poly @ a ) ) ) ),
inference(lifteq,[status(thm)],[131]) ).
thf(136,plain,
( p
!= ( zero_zero @ ( poly @ a ) ) ),
inference(simp,[status(thm)],[135]) ).
thf(569,plain,
( ( suc @ ( degree @ a @ p ) )
= ( zero_zero @ nat ) ),
inference(simplifyReflect,[status(thm)],[134,136]) ).
thf(53,axiom,
! [A: nat] :
( ( zero_zero @ nat )
!= ( suc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_nat_Osimps_I2_J) ).
thf(301,plain,
! [A: nat] :
( ( zero_zero @ nat )
!= ( suc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(302,plain,
~ ? [A: nat] :
( ( zero_zero @ nat )
= ( suc @ A ) ),
inference(miniscope,[status(thm)],[301]) ).
thf(303,plain,
! [A: nat] :
( ( zero_zero @ nat )
!= ( suc @ A ) ),
inference(cnf,[status(esa)],[302]) ).
thf(304,plain,
! [A: nat] :
( ( suc @ A )
!= ( zero_zero @ nat ) ),
inference(lifteq,[status(thm)],[303]) ).
thf(605,plain,
$false,
inference(simplifyReflect,[status(thm)],[569,304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWW492_5 : TPTP v8.2.0. Released v6.0.0.
% 0.00/0.09 % Command : run_Leo-III %s %d SAT
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Jun 19 05:44:40 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.94/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.41/1.14 % [INFO] Parsing done (255ms).
% 1.41/1.16 % [INFO] Running in sequential loop mode.
% 2.45/1.50 % [INFO] nitpick registered as external prover.
% 2.51/1.50 % [INFO] Scanning for conjecture ...
% 2.78/1.64 % [INFO] Found a conjecture (or negated_conjecture) and 125 axioms. Running axiom selection ...
% 2.96/1.75 % [INFO] Axiom selection finished. Selected 125 axioms (removed 0 axioms).
% 3.51/1.94 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.51/1.96 % [INFO] Type checking passed.
% 3.51/1.97 % [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 ...
% 4.04/2.20 % [INFO] [Domain constraints] Detected constraint on bool
% 4.04/2.21 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 7.26/3.24 % [INFO] Killing All external provers ...
% 7.26/3.24 % Time passed: 2790ms (effective reasoning time: 2078ms)
% 7.26/3.24 % 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)>
% 7.26/3.24 % Axioms used in derivation (1): fact_4_nat_Osimps_I2_J
% 7.26/3.24 % No. of inferences in proof: 17
% 7.26/3.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2790 ms resp. 2078 ms w/o parsing
% 7.26/3.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.26/3.27 % [INFO] Killing All external provers ...
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