TSTP Solution File: SEV067^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV067^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n023.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 15:58:08 EDT 2024
% Result : Theorem 3.18s 2.13s
% Output : Refutation 3.20s
% 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 : 58 ( 3 equ; 0 cnn)
% Maximal formula atoms : 19 ( 14 avg)
% Number of connectives : 140 ( 2 ~; 6 |; 27 &; 84 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 0 ^ 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cS_type,type,
cS: a > $o ).
thf(cT_type,type,
cT: a > $o ).
thf(cR_type,type,
cR: a > a > $o ).
thf(1,conjecture,
( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ C ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ A ) )
=> ( A = B ) )
& ! [A: a,B: a] :
( ( cR @ A @ B )
| ( cR @ B @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cS @ B ) )
=> ( cS @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cT @ B ) )
=> ( cT @ A ) ) )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
| ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM553_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ C ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ A ) )
=> ( A = B ) )
& ! [A: a,B: a] :
( ( cR @ A @ B )
| ( cR @ B @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cS @ B ) )
=> ( cS @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cT @ B ) )
=> ( cT @ A ) ) )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
| ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: a,B: a,C: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ C ) )
=> ( cR @ A @ C ) )
& ! [A: a] : ( cR @ A @ A )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cR @ B @ A ) )
=> ( A = B ) )
& ! [A: a,B: a] :
( ( cR @ A @ B )
| ( cR @ B @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cS @ B ) )
=> ( cS @ A ) )
& ! [A: a,B: a] :
( ( ( cR @ A @ B )
& ( cT @ B ) )
=> ( cT @ A ) ) )
=> ( ! [A: a] :
( ( cS @ A )
=> ( cT @ A ) )
| ! [A: a] :
( ( cT @ A )
=> ( cS @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV067^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : run_Leo-III %s %d THM
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Jun 21 19:40:54 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.99/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.09 % [INFO] Parsing done (158ms).
% 1.25/1.10 % [INFO] Running in sequential loop mode.
% 1.70/1.45 % [INFO] eprover registered as external prover.
% 1.83/1.45 % [INFO] Scanning for conjecture ...
% 2.04/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.04/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.04/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.04/1.59 % [INFO] Type checking passed.
% 2.04/1.60 % [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 ...
% 3.07/2.12 % External prover 'e' found a proof!
% 3.07/2.12 % [INFO] Killing All external provers ...
% 3.07/2.12 % Time passed: 1646ms (effective reasoning time: 1009ms)
% 3.07/2.12 % 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)>
% 3.18/2.13 % Axioms used in derivation (0):
% 3.18/2.13 % No. of inferences in proof: 4
% 3.18/2.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1646 ms resp. 1009 ms w/o parsing
% 3.20/2.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.20/2.17 % [INFO] Killing All external provers ...
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