TSTP Solution File: GRP425-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP425-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 11:13:58 EDT 2023
% Result : Unsatisfiable 18.01s 5.17s
% Output : Refutation 18.01s
% 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 : 50 ( 2 ~; 0 |; 0 &; 48 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% 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/sandbox/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,
! [C: $i,B: $i,A: $i] :
( ( multiply @ ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ ( inverse @ ( multiply @ ( inverse @ B ) @ C ) ) ) ) @ ( multiply @ A @ ( inverse @ C ) ) ) ) @ ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
thf(6,plain,
! [C: $i,B: $i,A: $i] :
( ( multiply @ ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ ( inverse @ ( multiply @ ( inverse @ B ) @ C ) ) ) ) @ ( multiply @ A @ ( inverse @ C ) ) ) ) @ ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(320,plain,
$false,
inference(e,[status(thm)],[3,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP425-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n012.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 : Fri May 19 01:55:47 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.89/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.96 % [INFO] Parsing done (107ms).
% 1.16/0.97 % [INFO] Running in sequential loop mode.
% 1.68/1.18 % [INFO] eprover registered as external prover.
% 1.68/1.18 % [INFO] cvc4 registered as external prover.
% 1.68/1.18 % [INFO] Scanning for conjecture ...
% 1.79/1.23 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.84/1.25 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.84/1.25 % [INFO] Problem is propositional (TPTP CNF).
% 1.84/1.26 % [INFO] Type checking passed.
% 1.84/1.26 % [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 ...
% 18.01/5.16 % External prover 'e' found a proof!
% 18.01/5.16 % [INFO] Killing All external provers ...
% 18.01/5.16 % Time passed: 4634ms (effective reasoning time: 4190ms)
% 18.01/5.16 % 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)>
% 18.01/5.16 % Axioms used in derivation (1): single_axiom
% 18.01/5.16 % No. of inferences in proof: 5
% 18.01/5.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4634 ms resp. 4190 ms w/o parsing
% 18.01/5.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.01/5.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------