TSTP Solution File: NUM415^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : NUM415^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 01:29:46 EDT 2024
% Result : Theorem 2.38s 1.47s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 18 ( 11 unt; 7 typ; 7 def)
% Number of atoms : 11 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 45 ( 2 ~; 0 |; 0 &; 43 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 16 ( 16 ^ 0 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_type,type,
one: ( $i > $i ) > $i > $i ).
thf(one_def,definition,
( one
= ( ^ [A: $i > $i] : A ) ) ).
thf(two_type,type,
two: ( $i > $i ) > $i > $i ).
thf(two_def,definition,
( two
= ( ^ [A: $i > $i,B: $i] : ( A @ ( A @ B ) ) ) ) ).
thf(three_type,type,
three: ( $i > $i ) > $i > $i ).
thf(three_def,definition,
( three
= ( ^ [A: $i > $i,B: $i] : ( A @ ( A @ ( A @ B ) ) ) ) ) ).
thf(five_type,type,
five: ( $i > $i ) > $i > $i ).
thf(five_def,definition,
( five
= ( ^ [A: $i > $i,B: $i] : ( A @ ( A @ ( A @ ( A @ ( A @ B ) ) ) ) ) ) ) ).
thf(seven_type,type,
seven: ( $i > $i ) > $i > $i ).
thf(seven_def,definition,
( seven
= ( ^ [A: $i > $i,B: $i] : ( A @ ( A @ ( A @ ( A @ ( A @ ( A @ ( A @ B ) ) ) ) ) ) ) ) ) ).
thf(plus_type,type,
plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(plus_def,definition,
( plus
= ( ^ [A: ( $i > $i ) > $i > $i,B: ( $i > $i ) > $i > $i,C: $i > $i,D: $i] : ( A @ C @ ( B @ C @ D ) ) ) ) ).
thf(mult_type,type,
mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
thf(mult_def,definition,
( mult
= ( ^ [A: ( $i > $i ) > $i > $i,B: ( $i > $i ) > $i > $i,C: $i > $i] : ( A @ ( B @ C ) ) ) ) ).
thf(1,conjecture,
( ( mult @ two @ ( plus @ three @ seven ) )
= ( mult @ ( mult @ two @ five ) @ ( plus @ one @ one ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
( ( mult @ two @ ( plus @ three @ seven ) )
!= ( mult @ ( mult @ two @ five ) @ ( plus @ one @ one ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM415^1 : TPTP v8.2.0. Released v3.6.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 06:27:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.98/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.06 % [INFO] Parsing done (132ms).
% 1.32/1.07 % [INFO] Running in sequential loop mode.
% 1.77/1.28 % [INFO] eprover registered as external prover.
% 1.77/1.28 % [INFO] cvc4 registered as external prover.
% 1.77/1.28 % [INFO] Scanning for conjecture ...
% 1.96/1.36 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.14/1.37 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.14/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.14/1.38 % [INFO] Type checking passed.
% 2.14/1.38 % [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 ...
% 2.38/1.47 % [INFO] Killing All external provers ...
% 2.38/1.47 % Time passed: 939ms (effective reasoning time: 402ms)
% 2.38/1.47 % 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)>
% 2.38/1.47 % Axioms used in derivation (0):
% 2.38/1.47 % No. of inferences in proof: 4
% 2.38/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 939 ms resp. 402 ms w/o parsing
% 2.45/1.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.45/1.51 % [INFO] Killing All external provers ...
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