TSTP Solution File: LCL897-10 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 11:32:28 EDT 2023
% Result : Unsatisfiable 3.21s 1.87s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 19 unt; 6 typ; 0 def)
% Number of atoms : 19 ( 18 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 114 ( 2 ~; 0 |; 0 &; 112 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'+\'_type',type,
'\'+\'': $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf('\' = =>\'_type',type,
'\' = =>\'': $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(c_type,type,
c: $i ).
thf('\'0\'_type',type,
'\'0\'': $i ).
thf(1,negated_conjecture,
( ( '\'+\'' @ ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ b ) ) @ ( '\' = =>\'' @ ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ b ) ) @ c ) )
!= ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ ( '\'+\'' @ b @ ( '\' = =>\'' @ b @ c ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_09) ).
thf(10,plain,
( ( '\'+\'' @ ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ b ) ) @ ( '\' = =>\'' @ ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ b ) ) @ c ) )
!= ( '\'+\'' @ a @ ( '\' = =>\'' @ a @ ( '\'+\'' @ b @ ( '\' = =>\'' @ b @ c ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( '\' = =>\'' @ ( '\'+\'' @ A @ B ) @ C )
= ( '\' = =>\'' @ A @ ( '\' = =>\'' @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( '\' = =>\'' @ ( '\'+\'' @ A @ B ) @ C )
= ( '\' = =>\'' @ A @ ( '\' = =>\'' @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( '\' = =>\'' @ A @ '\'0\'' )
= '\'0\'' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
thf(21,plain,
! [A: $i] :
( ( '\' = =>\'' @ A @ '\'0\'' )
= '\'0\'' ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( '\'+\'' @ ( '\'+\'' @ A @ B ) @ C )
= ( '\'+\'' @ A @ ( '\'+\'' @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( '\'+\'' @ ( '\'+\'' @ A @ B ) @ C )
= ( '\'+\'' @ A @ ( '\'+\'' @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( '\'+\'' @ A @ '\'0\'' )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
thf(17,plain,
! [A: $i] :
( ( '\'+\'' @ A @ '\'0\'' )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( '\'+\'' @ A @ ( '\' = =>\'' @ A @ B ) )
= ( '\'+\'' @ B @ ( '\' = =>\'' @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( '\'+\'' @ A @ ( '\' = =>\'' @ A @ B ) )
= ( '\'+\'' @ B @ ( '\' = =>\'' @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ( '\' = =>\'' @ '\'0\'' @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
thf(23,plain,
! [A: $i] :
( ( '\' = =>\'' @ '\'0\'' @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: $i] :
( ( '\' = =>\'' @ A @ A )
= '\'0\'' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
thf(19,plain,
! [A: $i] :
( ( '\' = =>\'' @ A @ A )
= '\'0\'' ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( '\'+\'' @ A @ B )
= ( '\'+\'' @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( '\'+\'' @ A @ B )
= ( '\'+\'' @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(33,plain,
$false,
inference(cvc4,[status(thm)],[10,25,21,13,17,27,23,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n016.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 16:50:57 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.03 % [INFO] Parsing done (158ms).
% 1.32/1.05 % [INFO] Running in sequential loop mode.
% 1.70/1.31 % [INFO] eprover registered as external prover.
% 1.70/1.31 % [INFO] cvc4 registered as external prover.
% 1.70/1.31 % [INFO] Scanning for conjecture ...
% 1.92/1.38 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 2.02/1.40 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.02/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 2.02/1.42 % [INFO] Type checking passed.
% 2.02/1.42 % [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 ...
% 3.15/1.83 % External prover 'cvc4' found a proof!
% 3.15/1.83 % [INFO] Killing All external provers ...
% 3.15/1.83 % Time passed: 1308ms (effective reasoning time: 775ms)
% 3.15/1.83 % 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)>
% 3.15/1.83 % Axioms used in derivation (8): sos_01, sos_05, sos_02, sos_06, sos_03, sos_07, sos_04, sos_08
% 3.15/1.83 % No. of inferences in proof: 19
% 3.21/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1308 ms resp. 775 ms w/o parsing
% 3.21/1.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.21/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------