TSTP Solution File: SEV197^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV197^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n027.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 : Mon Jun 24 15:58:29 EDT 2024
% Result : Theorem 3.10s 1.85s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 101 ( 8 ~; 0 |; 21 &; 57 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 0 ^ 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(iS_type,type,
iS: $tType ).
thf(c0_type,type,
c0: iS ).
thf(cP_type,type,
cP: iS > iS > 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] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_ALG02_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] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 ) ) ),
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] :
( ( ( cP @ A @ C )
= ( cP @ B @ D ) )
=> ( ( A = B )
& ( C = D ) ) )
& ! [A: iS,B: iS] :
( ( cP @ A @ B )
!= c0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEV197^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13 % Command : run_Leo-III %s %d THM
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 18:35:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.03/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/1.11 % [INFO] Parsing done (120ms).
% 1.35/1.11 % [INFO] Running in sequential loop mode.
% 1.79/1.38 % [INFO] eprover registered as external prover.
% 1.79/1.38 % [INFO] Scanning for conjecture ...
% 1.93/1.45 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.14/1.47 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.14/1.47 % [INFO] Problem is higher-order (TPTP THF).
% 2.14/1.48 % [INFO] Type checking passed.
% 2.14/1.48 % [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 ...
% 3.10/1.85 % External prover 'e' found a proof!
% 3.10/1.85 % [INFO] Killing All external provers ...
% 3.10/1.85 % Time passed: 1273ms (effective reasoning time: 730ms)
% 3.10/1.85 % 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)>
% 3.10/1.85 % Axioms used in derivation (0):
% 3.10/1.85 % No. of inferences in proof: 4
% 3.10/1.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1273 ms resp. 730 ms w/o parsing
% 3.10/1.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.10/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------