TSTP Solution File: LCL688+1.001 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 11:31:16 EDT 2023
% Result : Theorem 78.37s 13.41s
% Output : Refutation 78.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 141 ( 0 equ; 0 cnn)
% Maximal formula atoms : 44 ( 17 avg)
% Number of connectives : 538 ( 176 ~; 114 |; 17 &; 229 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 92 ( 0 ^; 89 !; 3 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p3_type,type,
p3: $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 )
| ~ ( p4 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
& ( p2 @ C )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F ) ) ) ) ) ) ) )
| ( ~ ( p1 @ A )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) ) )
| ! [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 )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p4 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
& ( p2 @ C )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F ) ) ) ) ) ) ) )
| ( ~ ( p1 @ A )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) ) )
| ! [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 )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ~ ? [A: $i] :
~ ( ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( p4 @ B ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( ! [E: $i] :
( ~ ( r1 @ D @ E )
| ( p3 @ E ) )
| ~ ( p2 @ D ) ) )
& ( p2 @ C )
& ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ! [E: $i] :
( ~ ( r1 @ D @ E )
| ~ ! [F: $i] :
( ~ ( r1 @ E @ F )
| ~ ( p2 @ F ) ) ) ) ) ) ) )
| ( ~ ( p1 @ A )
& ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p1 @ B )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) ) )
| ! [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 )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) ) )
| ~ ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ! [D: $i] :
( ~ ( r1 @ C @ D )
| ~ ( p1 @ D ) ) )
| ~ ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( p1 @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] : ( r1 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
thf(50,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/sandbox2/benchmark/theBenchmark.p',transitivity) ).
thf(52,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(31771,plain,
$false,
inference(e,[status(thm)],[5,50,52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL688+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 16:12:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.82/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/0.97 % [INFO] Parsing done (125ms).
% 1.15/0.98 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] eprover registered as external prover.
% 1.72/1.23 % [INFO] cvc4 registered as external prover.
% 1.72/1.24 % [INFO] Scanning for conjecture ...
% 2.01/1.33 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 2.01/1.36 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.01/1.37 % [INFO] Problem is first-order (TPTP FOF).
% 2.01/1.38 % [INFO] Type checking passed.
% 2.01/1.38 % [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 ...
% 78.37/13.40 % External prover 'e' found a proof!
% 78.37/13.40 % [INFO] Killing All external provers ...
% 78.37/13.41 % Time passed: 12892ms (effective reasoning time: 12425ms)
% 78.37/13.41 % 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)>
% 78.37/13.41 % Axioms used in derivation (2): reflexivity, transitivity
% 78.37/13.41 % No. of inferences in proof: 8
% 78.37/13.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12892 ms resp. 12425 ms w/o parsing
% 78.37/13.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 78.37/13.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------