TSTP Solution File: GRP440-1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n025.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 Jun 24 07:06:44 EDT 2024
% Result : Unsatisfiable 4.47s 2.33s
% Output : Refutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 5 ( 4 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 42 ( 2 ~; 0 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiply_type,type,
multiply: $i > $i > $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(b2_type,type,
b2: $i ).
thf(a2_type,type,
a2: $i ).
thf(1,negated_conjecture,
( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 )
!= a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
thf(3,plain,
( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 )
!= a2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( inverse @ ( multiply @ A @ ( multiply @ B @ ( multiply @ ( multiply @ ( inverse @ B ) @ C ) @ ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) )
= D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
thf(6,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( inverse @ ( multiply @ A @ ( multiply @ B @ ( multiply @ ( multiply @ ( inverse @ B ) @ C ) @ ( inverse @ ( multiply @ D @ ( multiply @ A @ C ) ) ) ) ) ) )
= D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[3,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP440-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 08:03:10 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.94/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/1.03 % [INFO] Parsing done (134ms).
% 1.24/1.05 % [INFO] Running in sequential loop mode.
% 1.63/1.36 % [INFO] eprover registered as external prover.
% 1.75/1.37 % [INFO] Scanning for conjecture ...
% 1.75/1.42 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.75/1.44 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.75/1.45 % [INFO] Problem is propositional (TPTP CNF).
% 1.75/1.45 % [INFO] Type checking passed.
% 1.75/1.46 % [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 ...
% 4.47/2.33 % External prover 'e' found a proof!
% 4.47/2.33 % [INFO] Killing All external provers ...
% 4.47/2.33 % Time passed: 1841ms (effective reasoning time: 1281ms)
% 4.47/2.33 % Axioms used in derivation (1): single_axiom
% 4.47/2.33 % No. of inferences in proof: 5
% 4.47/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1841 ms resp. 1281 ms w/o parsing
% 4.47/2.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.47/2.36 % [INFO] Killing All external provers ...
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