TSTP Solution File: SEV045^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV045^5 : 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 15:58:04 EDT 2024
% Result : Theorem 3.34s 2.19s
% Output : Refutation 3.34s
% 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 : 64 ( 3 equ; 0 cnn)
% Maximal formula atoms : 19 ( 16 avg)
% Number of connectives : 212 ( 2 ~; 0 |; 15 &; 156 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 14 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 54 ( 0 ^ 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(g_type,type,
g: a > b ).
thf(f_type,type,
f: a > b ).
thf(cQ_type,type,
cQ: a > b > b > $o ).
thf(cP_type,type,
cP: a > a > $o ).
thf(1,conjecture,
( ! [A: a] :
( ( cP @ A @ A )
=> ( cQ @ A @ ( f @ A ) @ ( g @ A ) ) )
=> ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( f @ B ) ) )
=> ( ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cP @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cP @ A @ B )
& ( cP @ B @ C ) )
=> ( cP @ A @ C ) ) )
=> ( ( ! [A: a] :
( ( cP @ A @ A )
=> ( ! [B: b,C: b] :
( ( cQ @ A @ B @ C )
=> ( cQ @ A @ C @ B ) )
& ! [B: b,C: b,D: b] :
( ( ( cQ @ A @ B @ C )
& ( cQ @ A @ C @ D ) )
=> ( cQ @ A @ B @ D ) ) ) )
& ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( ( cQ @ A )
= ( cQ @ B ) ) ) )
=> ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( g @ B ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM509_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a] :
( ( cP @ A @ A )
=> ( cQ @ A @ ( f @ A ) @ ( g @ A ) ) )
=> ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( f @ B ) ) )
=> ( ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cP @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cP @ A @ B )
& ( cP @ B @ C ) )
=> ( cP @ A @ C ) ) )
=> ( ( ! [A: a] :
( ( cP @ A @ A )
=> ( ! [B: b,C: b] :
( ( cQ @ A @ B @ C )
=> ( cQ @ A @ C @ B ) )
& ! [B: b,C: b,D: b] :
( ( ( cQ @ A @ B @ C )
& ( cQ @ A @ C @ D ) )
=> ( cQ @ A @ B @ D ) ) ) )
& ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( ( cQ @ A )
= ( cQ @ B ) ) ) )
=> ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( g @ B ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: a] :
( ( cP @ A @ A )
=> ( cQ @ A @ ( f @ A ) @ ( g @ A ) ) )
=> ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( f @ B ) ) )
=> ( ( ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cP @ B @ A ) )
& ! [A: a,B: a,C: a] :
( ( ( cP @ A @ B )
& ( cP @ B @ C ) )
=> ( cP @ A @ C ) ) )
=> ( ( ! [A: a] :
( ( cP @ A @ A )
=> ( ! [B: b,C: b] :
( ( cQ @ A @ B @ C )
=> ( cQ @ A @ C @ B ) )
& ! [B: b,C: b,D: b] :
( ( ( cQ @ A @ B @ C )
& ( cQ @ A @ C @ D ) )
=> ( cQ @ A @ B @ D ) ) ) )
& ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( ( cQ @ A )
= ( cQ @ B ) ) ) )
=> ! [A: a,B: a] :
( ( cP @ A @ B )
=> ( cQ @ A @ ( f @ A ) @ ( g @ B ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEV045^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.09 % Command : run_Leo-III %s %d THM
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 18:57:39 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.93/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.07 % [INFO] Parsing done (172ms).
% 1.22/1.08 % [INFO] Running in sequential loop mode.
% 1.72/1.44 % [INFO] eprover registered as external prover.
% 1.72/1.45 % [INFO] Scanning for conjecture ...
% 2.07/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.07/1.60 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.07/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.07/1.60 % [INFO] Type checking passed.
% 2.07/1.60 % [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 ...
% 3.34/2.18 % External prover 'e' found a proof!
% 3.34/2.18 % [INFO] Killing All external provers ...
% 3.34/2.18 % Time passed: 1745ms (effective reasoning time: 1093ms)
% 3.34/2.18 % 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)>
% 3.34/2.18 % Axioms used in derivation (0):
% 3.34/2.18 % No. of inferences in proof: 4
% 3.34/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1745 ms resp. 1093 ms w/o parsing
% 3.34/2.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.34/2.23 % [INFO] Killing All external provers ...
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