TSTP Solution File: SEV212^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV212^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 : Tue May 21 04:10:09 EDT 2024
% Result : Theorem 5.92s 3.26s
% Output : Refutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% Number of atoms : 82 ( 75 equ; 0 cnn)
% Maximal formula atoms : 28 ( 20 avg)
% Number of connectives : 353 ( 5 ~; 18 |; 78 &; 219 @)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 23 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 0 ^ 78 !; 54 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(iS_type,type,
iS: $tType ).
thf(cP_type,type,
cP: iS > iS > iS ).
thf(c0_type,type,
c0: iS ).
thf(1,conjecture,
( ( ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 )
& ! [A: iS,B: iS,C: iS,D: iS] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS > $o] :
( ( ( A @ c0 )
& ! [B: iS,C: iS] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: iS] : ( A @ B ) ) )
=> ! [A: iS,B: iS,C: iS,D: iS] :
( ( ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ A @ B @ B ) )
& ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ C @ D @ D ) ) )
=> ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ ( cP @ A @ C ) @ ( cP @ B @ D ) @ ( cP @ B @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_LEM2_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 )
& ! [A: iS,B: iS,C: iS,D: iS] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS > $o] :
( ( ( A @ c0 )
& ! [B: iS,C: iS] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: iS] : ( A @ B ) ) )
=> ! [A: iS,B: iS,C: iS,D: iS] :
( ( ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ A @ B @ B ) )
& ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ C @ D @ D ) ) )
=> ! [E: iS > iS > iS > $o] :
( ( $true
& ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) ) )
=> ( E @ ( cP @ A @ C ) @ ( cP @ B @ D ) @ ( cP @ B @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 )
& ! [A: iS,B: iS,C: iS,D: iS] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS > $o] :
( ( ( A @ c0 )
& ! [B: iS,C: iS] :
( ( ( A @ B )
& ( A @ C ) )
=> ( A @ ( cP @ B @ C ) ) ) )
=> ! [B: iS] : ( A @ B ) ) )
=> ! [A: iS,B: iS,C: iS,D: iS] :
( ( ! [E: iS > iS > iS > $o] :
( ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) )
=> ( E @ A @ B @ B ) )
& ! [E: iS > iS > iS > $o] :
( ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) )
=> ( E @ C @ D @ D ) ) )
=> ! [E: iS > iS > iS > $o] :
( ! [F: iS,G: iS,H: iS] :
( ( ( ( F = c0 )
& ( G = H ) )
| ( ( G = c0 )
& ( F = H ) )
| ? [I: iS,J: iS,K: iS,L: iS,M: iS,N: iS] :
( ( F
= ( cP @ I @ J ) )
& ( G
= ( cP @ K @ L ) )
& ( H
= ( cP @ M @ N ) )
& ( E @ I @ K @ M )
& ( E @ J @ L @ N ) ) )
=> ( E @ F @ G @ H ) )
=> ( E @ ( cP @ A @ C ) @ ( cP @ B @ D ) @ ( cP @ B @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(100,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV212^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n003.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 : Sun May 19 18:40:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.16/1.15 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.36 % [INFO] Parsing done (200ms).
% 1.65/1.37 % [INFO] Running in sequential loop mode.
% 2.44/1.82 % [INFO] eprover registered as external prover.
% 2.48/1.82 % [INFO] cvc4 registered as external prover.
% 2.48/1.83 % [INFO] Scanning for conjecture ...
% 2.91/1.99 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.91/2.06 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.91/2.06 % [INFO] Problem is higher-order (TPTP THF).
% 2.91/2.07 % [INFO] Type checking passed.
% 3.11/2.08 % [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 ...
% 5.92/3.25 % External prover 'cvc4' found a proof!
% 5.92/3.26 % [INFO] Killing All external provers ...
% 5.92/3.26 % Time passed: 2713ms (effective reasoning time: 1879ms)
% 5.92/3.26 % 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)>
% 5.92/3.26 % Axioms used in derivation (0):
% 5.92/3.26 % No. of inferences in proof: 4
% 5.92/3.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2713 ms resp. 1879 ms w/o parsing
% 6.09/3.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.09/3.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------