TSTP Solution File: SWV030+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 12:13:37 EDT 2023
% Result : Theorem 4.66s 2.03s
% Output : Refutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 21 ( 2 unt; 17 typ; 0 def)
% Number of atoms : 70 ( 12 equ; 0 cnn)
% Maximal formula atoms : 34 ( 17 avg)
% Number of connectives : 232 ( 2 ~; 0 |; 52 &; 164 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(init_type,type,
init: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(pv7_type,type,
pv7: $i ).
thf(pv19_type,type,
pv19: $i ).
thf(pv20_type,type,
pv20: $i ).
thf(pv1376_type,type,
pv1376: $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n410_type,type,
n410: $i ).
thf(n1_type,type,
n1: $i ).
thf(n330_type,type,
n330: $i ).
thf(n3_type,type,
n3: $i ).
thf(n2_type,type,
n2: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(simplex7_init_type,type,
simplex7_init: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(s_values7_init_type,type,
s_values7_init: $i ).
thf(1,conjecture,
( ( ( init = init )
& ( leq @ n0 @ pv7 )
& ( leq @ n0 @ pv19 )
& ( leq @ n0 @ pv20 )
& ( leq @ n0 @ pv1376 )
& ( leq @ pv7 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv20 @ ( minus @ n330 @ n1 ) )
& ( leq @ pv1376 @ n3 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n3 ) )
=> ( ( a_select3 @ simplex7_init @ B @ A )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv1376 @ n1 ) ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) ) )
=> ( ( init = init )
& ( leq @ n0 @ pv7 )
& ( leq @ n0 @ pv19 )
& ( leq @ n0 @ pv20 )
& ( leq @ n0 @ pv1376 )
& ( leq @ pv7 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv20 @ ( minus @ n330 @ n1 ) )
& ( leq @ pv1376 @ n3 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n3 ) )
=> ( ( a_select3 @ simplex7_init @ B @ A )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv1376 @ n1 ) ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0033) ).
thf(2,negated_conjecture,
~ ( ( ( init = init )
& ( leq @ n0 @ pv7 )
& ( leq @ n0 @ pv19 )
& ( leq @ n0 @ pv20 )
& ( leq @ n0 @ pv1376 )
& ( leq @ pv7 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv20 @ ( minus @ n330 @ n1 ) )
& ( leq @ pv1376 @ n3 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n3 ) )
=> ( ( a_select3 @ simplex7_init @ B @ A )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv1376 @ n1 ) ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) ) )
=> ( ( init = init )
& ( leq @ n0 @ pv7 )
& ( leq @ n0 @ pv19 )
& ( leq @ n0 @ pv20 )
& ( leq @ n0 @ pv1376 )
& ( leq @ pv7 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ( leq @ pv20 @ ( minus @ n330 @ n1 ) )
& ( leq @ pv1376 @ n3 )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ! [B: $i] :
( ( ( leq @ n0 @ B )
& ( leq @ B @ n3 ) )
=> ( ( a_select3 @ simplex7_init @ B @ A )
= init ) ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ pv1376 @ n1 ) ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(100,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(101,plain,
$false,
inference(simp,[status(thm)],[100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 19 02:21:58 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.88/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/0.99 % [INFO] Parsing done (145ms).
% 1.45/1.00 % [INFO] Running in sequential loop mode.
% 1.74/1.19 % [INFO] eprover registered as external prover.
% 1.74/1.19 % [INFO] cvc4 registered as external prover.
% 1.74/1.19 % [INFO] Scanning for conjecture ...
% 2.14/1.28 % [INFO] Found a conjecture and 99 axioms. Running axiom selection ...
% 2.14/1.35 % [INFO] Axiom selection finished. Selected 97 axioms (removed 2 axioms).
% 2.58/1.42 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/1.43 % [INFO] Type checking passed.
% 2.64/1.44 % [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 ...
% 4.66/2.03 % [INFO] Killing All external provers ...
% 4.66/2.03 % Time passed: 1504ms (effective reasoning time: 1025ms)
% 4.66/2.03 % 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)>
% 4.66/2.03 % Axioms used in derivation (0):
% 4.66/2.03 % No. of inferences in proof: 4
% 4.66/2.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1504 ms resp. 1025 ms w/o parsing
% 4.66/2.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.66/2.06 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------