TSTP Solution File: BOO071-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 10:12:04 EDT 2023
% Result : Unsatisfiable 3.50s 2.02s
% Output : Refutation 3.50s
% 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 : 56 ( 2 ~; 0 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiply_type,type,
multiply: $i > $i > $i > $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(1,negated_conjecture,
( ( multiply @ ( inverse @ b ) @ b @ a )
!= a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_5) ).
thf(3,plain,
( ( multiply @ ( inverse @ b ) @ b @ a )
!= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( multiply @ ( multiply @ A @ ( inverse @ A ) @ B ) @ ( inverse @ ( multiply @ ( multiply @ C @ D @ E ) @ F @ ( multiply @ C @ D @ G ) ) ) @ ( multiply @ D @ ( multiply @ G @ F @ E ) @ C ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
thf(6,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( multiply @ ( multiply @ A @ ( inverse @ A ) @ B ) @ ( inverse @ ( multiply @ ( multiply @ C @ D @ E ) @ F @ ( multiply @ C @ D @ G ) ) ) @ ( multiply @ D @ ( multiply @ G @ F @ E ) @ C ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[3,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n009.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 21:00:18 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.02 % [INFO] Parsing done (147ms).
% 1.30/1.03 % [INFO] Running in sequential loop mode.
% 1.65/1.29 % [INFO] eprover registered as external prover.
% 1.65/1.30 % [INFO] cvc4 registered as external prover.
% 1.65/1.30 % [INFO] Scanning for conjecture ...
% 1.86/1.35 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.86/1.37 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.86/1.37 % [INFO] Problem is propositional (TPTP CNF).
% 1.86/1.38 % [INFO] Type checking passed.
% 1.86/1.38 % [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 ...
% 3.50/2.02 % External prover 'e' found a proof!
% 3.50/2.02 % [INFO] Killing All external provers ...
% 3.50/2.02 % Time passed: 1497ms (effective reasoning time: 981ms)
% 3.50/2.02 % 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)>
% 3.50/2.02 % Axioms used in derivation (1): single_axiom
% 3.50/2.02 % No. of inferences in proof: 5
% 3.50/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1497 ms resp. 981 ms w/o parsing
% 3.50/2.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.50/2.04 % [INFO] Killing All external provers ...
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