TSTP Solution File: GRP203-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 11:13:29 EDT 2023
% Result : Unsatisfiable 4.52s 1.97s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 9 unt; 6 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 60 ( 2 ~; 0 |; 0 &; 58 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiply_type,type,
multiply: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(identity_type,type,
identity: $i ).
thf(left_inverse_type,type,
left_inverse: $i > $i ).
thf(1,negated_conjecture,
( ( multiply @ ( multiply @ ( multiply @ a @ b ) @ c ) @ b )
!= ( multiply @ a @ ( multiply @ b @ ( multiply @ c @ b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
thf(5,plain,
( ( multiply @ ( multiply @ ( multiply @ a @ b ) @ c ) @ b )
!= ( multiply @ a @ ( multiply @ b @ ( multiply @ c @ b ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [A: $i] :
( ( multiply @ identity @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
thf(8,plain,
! [A: $i] :
( ( multiply @ identity @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( multiply @ ( left_inverse @ A ) @ A )
= identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
thf(10,plain,
! [A: $i] :
( ( multiply @ ( left_inverse @ A ) @ A )
= identity ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( multiply @ ( multiply @ ( multiply @ A @ B ) @ A ) @ C )
= ( multiply @ A @ ( multiply @ B @ ( multiply @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang3) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ( multiply @ ( multiply @ ( multiply @ A @ B ) @ A ) @ C )
= ( multiply @ A @ ( multiply @ B @ ( multiply @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(165,plain,
$false,
inference(e,[status(thm)],[5,8,10,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP203-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 02:24:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.99/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.00 % [INFO] Parsing done (121ms).
% 1.31/1.01 % [INFO] Running in sequential loop mode.
% 1.72/1.21 % [INFO] eprover registered as external prover.
% 1.72/1.22 % [INFO] cvc4 registered as external prover.
% 1.72/1.22 % [INFO] Scanning for conjecture ...
% 1.81/1.27 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.81/1.29 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.81/1.29 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.30 % [INFO] Type checking passed.
% 1.81/1.30 % [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 ...
% 4.52/1.97 % External prover 'e' found a proof!
% 4.52/1.97 % [INFO] Killing All external provers ...
% 4.52/1.97 % Time passed: 1453ms (effective reasoning time: 959ms)
% 4.52/1.97 % 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)>
% 4.52/1.97 % Axioms used in derivation (3): left_identity, left_inverse, moufang3
% 4.52/1.97 % No. of inferences in proof: 9
% 4.52/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1453 ms resp. 959 ms w/o parsing
% 4.52/1.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.52/1.99 % [INFO] Killing All external provers ...
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