TSTP Solution File: GRP659+1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : GRP659+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 May 20 21:02:21 EDT 2024
% Result : Theorem 2.68s 1.75s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 73 ( 2 ~; 0 |; 3 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 25 !; 3 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: $i > $i > $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(rd_type,type,
rd: $i > $i > $i ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( mult @ ( mult @ C @ ( mult @ B @ A ) ) @ B )
= ( mult @ ( mult @ C @ B ) @ ( mult @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
thf(24,plain,
! [A: $i,B: $i,C: $i] :
( ( mult @ ( mult @ C @ ( mult @ B @ A ) ) @ B )
= ( mult @ ( mult @ C @ B ) @ ( mult @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( rd @ ( mult @ B @ A ) @ A )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( rd @ ( mult @ B @ A ) @ A )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( mult @ B @ ( ld @ B @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
thf(12,plain,
! [A: $i,B: $i] :
( ( mult @ B @ ( ld @ B @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( mult @ ( rd @ B @ A ) @ A )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
thf(18,plain,
! [A: $i,B: $i] :
( ( mult @ ( rd @ B @ A ) @ A )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
( ( ( mult @ B @ A )
= B )
& ( ( mult @ A @ B )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
( ( ( mult @ B @ A )
= B )
& ( ( mult @ A @ B )
= B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ( mult @ B @ A )
= B )
& ( ( mult @ A @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ld @ B @ ( mult @ B @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
thf(15,plain,
! [A: $i,B: $i] :
( ( ld @ B @ ( mult @ B @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[24,21,12,18,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP659+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 04:28:54 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.91/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.02/1.00 % [INFO] Parsing done (108ms).
% 1.02/1.00 % [INFO] Running in sequential loop mode.
% 1.54/1.23 % [INFO] eprover registered as external prover.
% 1.54/1.23 % [INFO] cvc4 registered as external prover.
% 1.54/1.23 % [INFO] Scanning for conjecture ...
% 1.65/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.65/1.31 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.65/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 1.65/1.32 % [INFO] Type checking passed.
% 1.65/1.33 % [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 ...
% 2.68/1.74 % External prover 'e' found a proof!
% 2.68/1.74 % [INFO] Killing All external provers ...
% 2.68/1.75 % Time passed: 1232ms (effective reasoning time: 738ms)
% 2.68/1.75 % 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)>
% 2.68/1.75 % Axioms used in derivation (5): f03, f02, f05, f04, f01
% 2.68/1.75 % No. of inferences in proof: 14
% 2.68/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1232 ms resp. 738 ms w/o parsing
% 2.87/1.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.87/1.78 % [INFO] Killing All external provers ...
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