TSTP Solution File: GRP774+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP774+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 : Fri May 19 11:15:22 EDT 2023
% Result : Theorem 3.15s 1.71s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 23 ( 10 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 2 ~; 0 |; 7 &; 80 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_type,type,
d: $i > $i > $o ).
thf(product_type,type,
product: $i > $i > $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( d @ A @ B )
& ( d @ C @ D ) )
=> ( d @ ( product @ A @ C ) @ ( product @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( d @ A @ B )
& ( d @ C @ D ) )
=> ( d @ ( product @ A @ C ) @ ( product @ B @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( d @ A @ B )
& ( d @ C @ D ) )
=> ( d @ ( product @ A @ C ) @ ( product @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( product @ ( product @ C @ B ) @ A )
= ( product @ C @ ( product @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
thf(10,plain,
! [A: $i,B: $i,C: $i] :
( ( product @ ( product @ C @ B ) @ A )
= ( product @ C @ ( product @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i] :
( ( product @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
thf(13,plain,
! [A: $i] :
( ( product @ A @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( d @ A @ B )
<=> ( ( ( product @ A @ ( product @ B @ A ) )
= A )
& ( ( product @ B @ ( product @ A @ B ) )
= B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
thf(16,plain,
! [A: $i,B: $i] :
( ( ( d @ A @ B )
=> ( ( ( product @ A @ ( product @ B @ A ) )
= A )
& ( ( product @ B @ ( product @ A @ B ) )
= B ) ) )
& ( ( ( ( product @ A @ ( product @ B @ A ) )
= A )
& ( ( product @ B @ ( product @ A @ B ) )
= B ) )
=> ( d @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[6,10,13,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP774+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 19 01:25:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.92/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.31/1.00 % [INFO] Parsing done (116ms).
% 1.31/1.01 % [INFO] Running in sequential loop mode.
% 1.56/1.20 % [INFO] eprover registered as external prover.
% 1.56/1.21 % [INFO] cvc4 registered as external prover.
% 1.56/1.21 % [INFO] Scanning for conjecture ...
% 1.76/1.26 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.91/1.28 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.91/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.91/1.29 % [INFO] Type checking passed.
% 1.91/1.29 % [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 ...
% 3.15/1.71 % External prover 'e' found a proof!
% 3.15/1.71 % [INFO] Killing All external provers ...
% 3.15/1.71 % Time passed: 1183ms (effective reasoning time: 701ms)
% 3.15/1.71 % 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)>
% 3.15/1.71 % Axioms used in derivation (3): sos01, sos02, sos03
% 3.15/1.71 % No. of inferences in proof: 10
% 3.15/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1183 ms resp. 701 ms w/o parsing
% 3.15/1.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.15/1.74 % [INFO] Killing All external provers ...
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