TSTP Solution File: SYO173^5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO173^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 08:55:59 EDT 2024
% Result : Theorem 2.59s 1.60s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 143 ( 14 ~; 6 |; 12 &; 111 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 0 ^ 27 !; 3 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(nt_type,type,
nt: $i > $i ).
thf(imp_type,type,
imp: $i > $i > $i ).
thf(cT_type,type,
cT: $i > $o ).
thf(1,conjecture,
~ ( ! [A: $i,B: $i] :
( ~ ( cT @ ( imp @ A @ B ) )
| ~ ( cT @ A )
| ( cT @ B ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ A @ ( imp @ B @ A ) ) )
& ! [A: $i,B: $i,C: $i] : ( cT @ ( imp @ ( imp @ A @ ( imp @ B @ C ) ) @ ( imp @ ( imp @ A @ B ) @ ( imp @ A @ C ) ) ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ ( imp @ ( nt @ A ) @ ( nt @ B ) ) @ ( imp @ B @ A ) ) )
& ? [A: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ A ) ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cLCL077_1) ).
thf(2,negated_conjecture,
~ ~ ( ! [A: $i,B: $i] :
( ~ ( cT @ ( imp @ A @ B ) )
| ~ ( cT @ A )
| ( cT @ B ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ A @ ( imp @ B @ A ) ) )
& ! [A: $i,B: $i,C: $i] : ( cT @ ( imp @ ( imp @ A @ ( imp @ B @ C ) ) @ ( imp @ ( imp @ A @ B ) @ ( imp @ A @ C ) ) ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ ( imp @ ( nt @ A ) @ ( nt @ B ) ) @ ( imp @ B @ A ) ) )
& ? [A: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ A ) ) @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ! [A: $i,B: $i] :
( ~ ( cT @ ( imp @ A @ B ) )
| ~ ( cT @ A )
| ( cT @ B ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ A @ ( imp @ B @ A ) ) )
& ! [A: $i,B: $i,C: $i] : ( cT @ ( imp @ ( imp @ A @ ( imp @ B @ C ) ) @ ( imp @ ( imp @ A @ B ) @ ( imp @ A @ C ) ) ) )
& ! [A: $i,B: $i] : ( cT @ ( imp @ ( imp @ ( nt @ A ) @ ( nt @ B ) ) @ ( imp @ B @ A ) ) )
& ? [A: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ A ) ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO173^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n022.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 10:49:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.89/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.94 % [INFO] Parsing done (101ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.51/1.15 % [INFO] eprover registered as external prover.
% 1.51/1.16 % [INFO] cvc4 registered as external prover.
% 1.51/1.16 % [INFO] Scanning for conjecture ...
% 1.84/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.87/1.24 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.24 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.25 % [INFO] Type checking passed.
% 1.87/1.25 % [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 ...
% 2.59/1.60 % External prover 'e' found a proof!
% 2.59/1.60 % [INFO] Killing All external provers ...
% 2.59/1.60 % Time passed: 1092ms (effective reasoning time: 647ms)
% 2.59/1.60 % 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)>
% 2.59/1.60 % Axioms used in derivation (0):
% 2.59/1.60 % No. of inferences in proof: 4
% 2.59/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1092 ms resp. 647 ms w/o parsing
% 2.90/1.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.90/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------