TSTP Solution File: LCL664+1.001 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL664+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 11:31:04 EDT 2023
% Result : Theorem 2.61s 1.51s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 13 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 8 avg)
% Number of connectives : 165 ( 44 ~; 45 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 26 !; 3 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p16_type,type,
p16: $i > $o ).
thf(p12_type,type,
p12: $i > $o ).
thf(p14_type,type,
p14: $i > $o ).
thf(p15_type,type,
p15: $i > $o ).
thf(p13_type,type,
p13: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p16 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p14 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p16 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p14 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p16 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p14 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p15 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p13 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p12 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p11 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(22,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[4,22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL664+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n020.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 16:17:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.86/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.94 % [INFO] Parsing done (106ms).
% 1.21/0.94 % [INFO] Running in sequential loop mode.
% 1.50/1.13 % [INFO] eprover registered as external prover.
% 1.50/1.14 % [INFO] cvc4 registered as external prover.
% 1.50/1.14 % [INFO] Scanning for conjecture ...
% 1.76/1.20 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.82/1.22 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.82/1.22 % [INFO] Problem is first-order (TPTP FOF).
% 1.82/1.23 % [INFO] Type checking passed.
% 1.82/1.23 % [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 ...
% 2.61/1.51 % External prover 'e' found a proof!
% 2.61/1.51 % [INFO] Killing All external provers ...
% 2.61/1.51 % Time passed: 1001ms (effective reasoning time: 561ms)
% 2.61/1.51 % 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)>
% 2.61/1.51 % Axioms used in derivation (1): reflexivity
% 2.61/1.51 % No. of inferences in proof: 6
% 2.61/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1001 ms resp. 561 ms w/o parsing
% 2.76/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.76/1.54 % [INFO] Killing All external provers ...
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