TSTP Solution File: LCL091-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL091-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 11:29:20 EDT 2023
% Result : Unsatisfiable 2.45s 1.53s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 11 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 6 ~; 4 |; 0 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(1,negated_conjecture,
~ ( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_2) ).
thf(4,plain,
~ ( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
thf(6,plain,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ ( implies @ C @ D ) ) @ ( implies @ ( implies @ D @ A ) @ ( implies @ E @ ( implies @ C @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
thf(8,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ A @ B ) @ ( implies @ C @ D ) ) @ ( implies @ ( implies @ D @ A ) @ ( implies @ E @ ( implies @ C @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
$false,
inference(e,[status(thm)],[4,6,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL091-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n024.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 : Thu May 18 15:43:38 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.95 % [INFO] Parsing done (110ms).
% 1.26/0.96 % [INFO] Running in sequential loop mode.
% 1.49/1.15 % [INFO] eprover registered as external prover.
% 1.49/1.15 % [INFO] cvc4 registered as external prover.
% 1.49/1.16 % [INFO] Scanning for conjecture ...
% 1.74/1.20 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.74/1.22 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.74/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.74/1.22 % [INFO] Type checking passed.
% 1.74/1.23 % [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 ...
% 2.45/1.52 % External prover 'e' found a proof!
% 2.45/1.52 % [INFO] Killing All external provers ...
% 2.45/1.52 % Time passed: 1007ms (effective reasoning time: 564ms)
% 2.45/1.52 % 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)>
% 2.45/1.53 % Axioms used in derivation (2): condensed_detachment, ic_JLukasiewicz_5
% 2.45/1.53 % No. of inferences in proof: 7
% 2.45/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1007 ms resp. 564 ms w/o parsing
% 2.73/1.55 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.73/1.55 % [INFO] Killing All external provers ...
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