TSTP Solution File: BOO020-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 10:11:57 EDT 2023
% Result : Unsatisfiable 3.58s 1.76s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 10 ~; 8 |; 0 &; 118 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(add_type,type,
add: $i > $i > $i ).
thf(inverse_type,type,
inverse: $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(n0_type,type,
n0: $i ).
thf(1,negated_conjecture,
( ( ( add @ ( inverse @ ( add @ a @ ( inverse @ b ) ) ) @ ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) )
!= b )
| ( ( add @ ( add @ a @ b ) @ c )
!= ( add @ a @ ( add @ b @ c ) ) )
| ( ( add @ b @ a )
!= ( add @ a @ b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntington) ).
thf(5,plain,
( ( ( add @ ( inverse @ ( add @ a @ ( inverse @ b ) ) ) @ ( inverse @ ( add @ ( inverse @ a ) @ ( inverse @ b ) ) ) )
!= b )
| ( ( add @ ( add @ a @ b ) @ c )
!= ( add @ a @ ( add @ b @ c ) ) )
| ( ( add @ b @ a )
!= ( add @ a @ b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [A: $i] :
( ( add @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink1) ).
thf(8,plain,
! [A: $i] :
( ( add @ A @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ D )
!= ( add @ ( add @ B @ C ) @ A ) )
| ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ ( inverse @ D ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink2) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ D )
!= ( add @ ( add @ B @ C ) @ A ) )
| ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ ( inverse @ D ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ ( inverse @ D ) )
!= n0 )
| ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ D )
= ( add @ ( add @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',frink3) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ ( inverse @ D ) )
!= n0 )
| ( ( add @ ( add @ ( add @ A @ B ) @ C ) @ D )
= ( add @ ( add @ B @ C ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(62,plain,
$false,
inference(e,[status(thm)],[5,8,10,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO020-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n018.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 : Thu May 18 21:10:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.96/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.95 % [INFO] Parsing done (103ms).
% 1.19/0.96 % [INFO] Running in sequential loop mode.
% 1.56/1.15 % [INFO] eprover registered as external prover.
% 1.56/1.15 % [INFO] cvc4 registered as external prover.
% 1.66/1.16 % [INFO] Scanning for conjecture ...
% 1.66/1.21 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.66/1.23 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.83/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.24 % [INFO] Type checking passed.
% 1.83/1.24 % [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 ...
% 3.58/1.76 % External prover 'e' found a proof!
% 3.58/1.76 % [INFO] Killing All external provers ...
% 3.58/1.76 % Time passed: 1237ms (effective reasoning time: 804ms)
% 3.58/1.76 % 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)>
% 3.58/1.76 % Axioms used in derivation (3): frink1, frink2, frink3
% 3.58/1.76 % No. of inferences in proof: 9
% 3.58/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1237 ms resp. 804 ms w/o parsing
% 3.58/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.58/1.79 % [INFO] Killing All external provers ...
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