TSTP Solution File: LCL043-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL043-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 11:29:13 EDT 2023
% Result : Unsatisfiable 2.26s 1.40s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 13 unt; 4 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 6 ~; 4 |; 0 &; 106 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_type,type,
is_a_theorem: $i > $o ).
thf(implies_type,type,
implies: $i > $i > $i ).
thf(not_type,type,
not: $i > $i ).
thf(a_type,type,
a: $i ).
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(10,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(5,axiom,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ B @ ( implies @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ B @ ( implies @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
thf(13,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
thf(12,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ ( not @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).
thf(16,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ ( not @ A ) @ B ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
~ ( is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
thf(8,plain,
~ ( is_a_theorem @ ( implies @ ( not @ ( not @ a ) ) @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ B ) @ ( implies @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[10,14,13,12,16,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL043-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 18 16:31:50 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.64/0.69 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.90/0.80 % [INFO] Parsing done (108ms).
% 0.90/0.81 % [INFO] Running in sequential loop mode.
% 1.19/1.00 % [INFO] eprover registered as external prover.
% 1.19/1.00 % [INFO] cvc4 registered as external prover.
% 1.19/1.01 % [INFO] Scanning for conjecture ...
% 1.36/1.05 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.36/1.07 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.36/1.08 % [INFO] Problem is propositional (TPTP CNF).
% 1.36/1.08 % [INFO] Type checking passed.
% 1.36/1.09 % [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 ...
% 2.26/1.40 % External prover 'e' found a proof!
% 2.26/1.40 % [INFO] Killing All external provers ...
% 2.26/1.40 % Time passed: 992ms (effective reasoning time: 580ms)
% 2.26/1.40 % 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)>
% 2.26/1.40 % Axioms used in derivation (6): cn_21, condensed_detachment, cn_54, cn_18, cn_22, cn_3
% 2.26/1.40 % No. of inferences in proof: 15
% 2.26/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 992 ms resp. 580 ms w/o parsing
% 2.26/1.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.26/1.46 % [INFO] Killing All external provers ...
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