TSTP Solution File: LCL672+1.001 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 11:31:08 EDT 2023
% Result : Theorem 3.80s 1.97s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 155 ( 0 equ; 0 cnn)
% Maximal formula atoms : 49 ( 19 avg)
% Number of connectives : 579 ( 182 ~; 110 |; 35 &; 250 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 101 ( 0 ^; 98 !; 3 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
& ( p1 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| $false ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
& ( p1 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| $false ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ~ ? [A: $i] :
~ ( ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
& ( p1 @ B ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p1 @ E ) ) ) )
& ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) ) ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
~ ( r1 @ B @ C ) )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) ) )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ 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(34,plain,
! [A: $i] : ( r1 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r1 @ A @ B )
& ( r1 @ B @ C ) )
=> ( r1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
thf(36,plain,
! [A: $i,B: $i,C: $i] :
( ( ( r1 @ A @ B )
& ( r1 @ B @ C ) )
=> ( r1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(100,plain,
$false,
inference(e,[status(thm)],[5,34,36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 16:31:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.02 % [INFO] Parsing done (136ms).
% 1.29/1.03 % [INFO] Running in sequential loop mode.
% 1.73/1.22 % [INFO] eprover registered as external prover.
% 1.76/1.23 % [INFO] cvc4 registered as external prover.
% 1.76/1.23 % [INFO] Scanning for conjecture ...
% 1.76/1.30 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 2.02/1.33 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.02/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.02/1.34 % [INFO] Type checking passed.
% 2.02/1.34 % [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 ...
% 3.80/1.97 % External prover 'e' found a proof!
% 3.80/1.97 % [INFO] Killing All external provers ...
% 3.80/1.97 % Time passed: 1452ms (effective reasoning time: 938ms)
% 3.80/1.97 % 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)>
% 3.80/1.97 % Axioms used in derivation (2): reflexivity, transitivity
% 3.80/1.97 % No. of inferences in proof: 8
% 3.80/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1452 ms resp. 938 ms w/o parsing
% 4.09/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.09/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------