TSTP Solution File: SYN370+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 7 08:28:52 EDT 2024
% Result : Theorem 2.49s 1.56s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 8 ( 1 unt; 4 typ; 0 def)
% Number of atoms : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 41 ( 2 ~; 3 |; 0 &; 33 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 9 ( 0 ^ 3 !; 6 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(h_type,type,
h: $i > $i ).
thf(f_type,type,
f: $i > $i ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( big_p @ a @ B @ ( h @ B ) )
| ( big_p @ A @ B @ ( f @ B ) ) )
=> ( big_p @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2121) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( big_p @ a @ B @ ( h @ B ) )
| ( big_p @ A @ B @ ( f @ B ) ) )
=> ( big_p @ A @ B @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i] :
! [B: $i] :
? [C: $i] :
( ( ( big_p @ a @ B @ ( h @ B ) )
| ( big_p @ A @ B @ ( f @ B ) ) )
=> ( big_p @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n016.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 6 13:31:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.97 % [INFO] Parsing done (106ms).
% 1.15/0.98 % [INFO] Running in sequential loop mode.
% 1.59/1.19 % [INFO] eprover registered as external prover.
% 1.59/1.20 % [INFO] cvc4 registered as external prover.
% 1.59/1.20 % [INFO] Scanning for conjecture ...
% 1.77/1.25 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.77/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.77/1.28 % [INFO] Problem is first-order (TPTP FOF).
% 1.77/1.28 % [INFO] Type checking passed.
% 1.77/1.28 % [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 ...
% 2.49/1.55 % External prover 'e' found a proof!
% 2.49/1.55 % [INFO] Killing All external provers ...
% 2.49/1.56 % Time passed: 1036ms (effective reasoning time: 576ms)
% 2.49/1.56 % 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)>
% 2.49/1.56 % Axioms used in derivation (0):
% 2.49/1.56 % No. of inferences in proof: 4
% 2.49/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1036 ms resp. 576 ms w/o parsing
% 2.49/1.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.49/1.58 % [INFO] Killing All external provers ...
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