TSTP Solution File: LCL076-3 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 11:29:18 EDT 2023
% Result : Unsatisfiable 2.65s 1.53s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 10 ~; 8 |; 0 &; 92 @)
% ( 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 : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% 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(not_type,type,
not: $i > $i ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ ( implies @ B @ C ) )
| ( is_a_theorem @ ( implies @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( is_a_theorem @ ( implies @ A @ B ) )
| ~ ( is_a_theorem @ ( implies @ B @ C ) )
| ( is_a_theorem @ ( implies @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
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(9,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,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ A ) @ ( not @ B ) ) @ ( implies @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
thf(13,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ A ) @ ( not @ B ) ) @ ( implies @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ ( implies @ A @ B ) @ ( implies @ A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] : ( is_a_theorem @ ( implies @ ( implies @ A @ ( implies @ B @ C ) ) @ ( implies @ ( implies @ A @ B ) @ ( implies @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
~ ( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).
thf(7,plain,
~ ( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
thf(11,plain,
! [B: $i,A: $i] : ( is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[14,9,13,12,7,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL076-3 : TPTP v8.1.2. Released v1.0.0.
% 0.15/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 16:10:06 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (109ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.50/1.14 % [INFO] eprover registered as external prover.
% 1.50/1.14 % [INFO] cvc4 registered as external prover.
% 1.50/1.15 % [INFO] Scanning for conjecture ...
% 1.75/1.19 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.75/1.21 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.75/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.75/1.22 % [INFO] Type checking passed.
% 1.75/1.22 % [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 ...
% 2.65/1.53 % External prover 'e' found a proof!
% 2.65/1.53 % [INFO] Killing All external provers ...
% 2.65/1.53 % Time passed: 1018ms (effective reasoning time: 580ms)
% 2.65/1.53 % 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)>
% 2.65/1.53 % Axioms used in derivation (5): condensed_detachment, cn_18, cn_35, transitivity, cn_49
% 2.65/1.53 % No. of inferences in proof: 13
% 2.65/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1018 ms resp. 580 ms w/o parsing
% 2.70/1.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.70/1.60 % [INFO] Killing All external provers ...
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