TSTP Solution File: LCL103-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 11:29:22 EDT 2023
% Result : Unsatisfiable 53.32s 8.91s
% Output : Refutation 53.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 102 ( 6 ~; 4 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(equivalent_type,type,
equivalent: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf(e_type,type,
e: $i ).
thf(1,negated_conjecture,
~ ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @ ( equivalent @ b @ c ) ) @ e ) @ e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
thf(5,plain,
~ ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @ ( equivalent @ b @ c ) ) @ e ) @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( equivalent @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( is_a_theorem @ ( equivalent @ A @ B ) )
| ~ ( is_a_theorem @ A )
| ( is_a_theorem @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ A @ B ) @ C ) @ ( equivalent @ ( equivalent @ D @ B ) @ ( equivalent @ ( equivalent @ A @ D ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
thf(9,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ A @ B ) @ C ) @ ( equivalent @ ( equivalent @ D @ B ) @ ( equivalent @ ( equivalent @ A @ D ) @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ A @ B ) @ ( equivalent @ ( equivalent @ B @ A ) @ C ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_3) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( equivalent @ ( equivalent @ ( equivalent @ A @ B ) @ ( equivalent @ ( equivalent @ B @ A ) @ C ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(4023,plain,
$false,
inference(e,[status(thm)],[5,7,9,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 15:59:03 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.83/0.76 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/0.87 % [INFO] Parsing done (106ms).
% 1.11/0.87 % [INFO] Running in sequential loop mode.
% 1.43/1.07 % [INFO] eprover registered as external prover.
% 1.43/1.07 % [INFO] cvc4 registered as external prover.
% 1.43/1.08 % [INFO] Scanning for conjecture ...
% 1.56/1.13 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.56/1.15 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.73/1.15 % [INFO] Problem is propositional (TPTP CNF).
% 1.73/1.16 % [INFO] Type checking passed.
% 1.73/1.16 % [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 ...
% 53.32/8.90 % External prover 'e' found a proof!
% 53.32/8.90 % [INFO] Killing All external provers ...
% 53.32/8.90 % Time passed: 8423ms (effective reasoning time: 8027ms)
% 53.32/8.90 % 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)>
% 53.32/8.90 % Axioms used in derivation (3): condensed_detachment, p_1, q_3
% 53.32/8.90 % No. of inferences in proof: 9
% 53.32/8.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8423 ms resp. 8027 ms w/o parsing
% 53.32/8.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.32/8.92 % [INFO] Killing All external provers ...
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