TSTP Solution File: GRP063-1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : GRP063-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 May 20 20:59:41 EDT 2024
% Result : Unsatisfiable 4.00s 2.61s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 14
% Syntax : Number of formulae : 19 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 106 ( 6 ~; 4 |; 0 &; 96 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiply_type,type,
multiply: $i > $i > $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(a1_type,type,
a1: $i ).
thf(b1_type,type,
b1: $i ).
thf(b2_type,type,
b2: $i ).
thf(a2_type,type,
a2: $i ).
thf(a3_type,type,
a3: $i ).
thf(b3_type,type,
b3: $i ).
thf(c3_type,type,
c3: $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(1,negated_conjecture,
( ( ( multiply @ ( inverse @ a1 ) @ a1 )
!= ( multiply @ ( inverse @ b1 ) @ b1 ) )
| ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 )
!= a2 )
| ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 )
!= ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
thf(5,plain,
( ( ( multiply @ ( inverse @ a1 ) @ a1 )
!= ( multiply @ ( inverse @ b1 ) @ b1 ) )
| ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 )
!= a2 )
| ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 )
!= ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( divide @ A @ ( divide @ ( divide @ ( divide @ ( divide @ A @ A ) @ B ) @ C ) @ ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
thf(8,plain,
! [C: $i,B: $i,A: $i] :
( ( divide @ A @ ( divide @ ( divide @ ( divide @ ( divide @ A @ A ) @ B ) @ C ) @ ( divide @ ( divide @ ( divide @ A @ A ) @ A ) @ C ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( multiply @ A @ B )
= ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( multiply @ A @ B )
= ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( inverse @ A )
= ( divide @ ( divide @ B @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( inverse @ A )
= ( divide @ ( divide @ B @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(17,plain,
$false,
inference(e,[status(thm)],[5,8,10,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP063-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n021.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 : Sun May 19 04:15:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.18/1.14 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.62/1.31 % [INFO] Parsing done (170ms).
% 1.62/1.32 % [INFO] Running in sequential loop mode.
% 2.27/1.77 % [INFO] eprover registered as external prover.
% 2.27/1.77 % [INFO] cvc4 registered as external prover.
% 2.27/1.78 % [INFO] Scanning for conjecture ...
% 2.41/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.53/1.92 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.53/1.94 % [INFO] Problem is propositional (TPTP CNF).
% 2.53/1.94 % [INFO] Type checking passed.
% 2.53/1.95 % [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 ...
% 4.00/2.61 % External prover 'e' found a proof!
% 4.00/2.61 % [INFO] Killing All external provers ...
% 4.00/2.61 % Time passed: 2073ms (effective reasoning time: 1282ms)
% 4.00/2.61 % Axioms used in derivation (3): single_axiom, multiply, inverse
% 4.00/2.61 % No. of inferences in proof: 9
% 4.00/2.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2073 ms resp. 1282 ms w/o parsing
% 4.00/2.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.00/2.65 % [INFO] Killing All external provers ...
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