TSTP Solution File: SWV034+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 12:13:38 EDT 2023
% Result : Theorem 4.89s 2.13s
% Output : Refutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 30 ( 2 unt; 26 typ; 0 def)
% Number of atoms : 120 ( 42 equ; 0 cnn)
% Maximal formula atoms : 59 ( 30 avg)
% Number of connectives : 322 ( 2 ~; 0 |; 90 &; 204 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 23 con; 0-3 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_best7_init_type,type,
s_best7_init: $i ).
thf(init_type,type,
init: $i ).
thf(s_sworst7_init_type,type,
s_sworst7_init: $i ).
thf(s_worst7_init_type,type,
s_worst7_init: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(s_best7_type,type,
s_best7: $i ).
thf(s_sworst7_type,type,
s_sworst7: $i ).
thf(s_worst7_type,type,
s_worst7: $i ).
thf(pv19_type,type,
pv19: $i ).
thf(n3_type,type,
n3: $i ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(n410_type,type,
n410: $i ).
thf(n1_type,type,
n1: $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(s_center7_init_type,type,
s_center7_init: $i ).
thf(s_try7_init_type,type,
s_try7_init: $i ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(loopcounter_type,type,
loopcounter: $i ).
thf(pvar1400_init_type,type,
pvar1400_init: $i ).
thf(pvar1401_init_type,type,
pvar1401_init: $i ).
thf(pvar1402_init_type,type,
pvar1402_init: $i ).
thf(1,conjecture,
( ( ( s_best7_init = init )
& ( s_sworst7_init = init )
& ( s_worst7_init = init )
& ( leq @ n0 @ s_best7 )
& ( leq @ n0 @ s_sworst7 )
& ( leq @ n0 @ s_worst7 )
& ( leq @ n0 @ pv19 )
& ( leq @ s_best7 @ n3 )
& ( leq @ s_sworst7 @ n3 )
& ( leq @ s_worst7 @ n3 )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ! [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 @ n3 ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ( ( a_select2 @ s_center7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select2 @ s_try7_init @ A )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ( ( pvar1400_init = init )
& ( pvar1401_init = init )
& ( pvar1402_init = init ) ) ) )
=> ( ( init = init )
& ( s_best7_init = init )
& ( s_sworst7_init = init )
& ( s_worst7_init = init )
& ( leq @ n0 @ s_best7 )
& ( leq @ n0 @ s_sworst7 )
& ( leq @ n0 @ s_worst7 )
& ( leq @ n0 @ pv19 )
& ( leq @ s_best7 @ n3 )
& ( leq @ s_sworst7 @ n3 )
& ( leq @ s_worst7 @ n3 )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ! [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 @ n3 ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ( ( a_select2 @ s_center7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select2 @ s_try7_init @ A )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ( ( pvar1400_init = init )
& ( pvar1401_init = init )
& ( pvar1402_init = init ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0049) ).
thf(2,negated_conjecture,
~ ( ( ( s_best7_init = init )
& ( s_sworst7_init = init )
& ( s_worst7_init = init )
& ( leq @ n0 @ s_best7 )
& ( leq @ n0 @ s_sworst7 )
& ( leq @ n0 @ s_worst7 )
& ( leq @ n0 @ pv19 )
& ( leq @ s_best7 @ n3 )
& ( leq @ s_sworst7 @ n3 )
& ( leq @ s_worst7 @ n3 )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ! [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 @ n3 ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ( ( a_select2 @ s_center7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select2 @ s_try7_init @ A )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ( ( pvar1400_init = init )
& ( pvar1401_init = init )
& ( pvar1402_init = init ) ) ) )
=> ( ( init = init )
& ( s_best7_init = init )
& ( s_sworst7_init = init )
& ( s_worst7_init = init )
& ( leq @ n0 @ s_best7 )
& ( leq @ n0 @ s_sworst7 )
& ( leq @ n0 @ s_worst7 )
& ( leq @ n0 @ pv19 )
& ( leq @ s_best7 @ n3 )
& ( leq @ s_sworst7 @ n3 )
& ( leq @ s_worst7 @ n3 )
& ( leq @ pv19 @ ( minus @ n410 @ n1 ) )
& ! [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 @ n3 ) )
=> ( ( a_select2 @ s_values7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ n2 ) )
=> ( ( a_select2 @ s_center7_init @ A )
= init ) )
& ! [A: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ A @ ( minus @ n3 @ n1 ) ) )
=> ( ( a_select2 @ s_try7_init @ A )
= init ) )
& ( ( gt @ loopcounter @ n1 )
=> ( ( pvar1400_init = init )
& ( pvar1401_init = init )
& ( pvar1402_init = init ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(92,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(93,plain,
$false,
inference(simp,[status(thm)],[92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.15/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 19 03:18:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.99/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.51/1.04 % [INFO] Parsing done (170ms).
% 1.51/1.04 % [INFO] Running in sequential loop mode.
% 1.93/1.24 % [INFO] eprover registered as external prover.
% 1.93/1.24 % [INFO] cvc4 registered as external prover.
% 1.97/1.24 % [INFO] Scanning for conjecture ...
% 2.19/1.34 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ...
% 2.36/1.41 % [INFO] Axiom selection finished. Selected 89 axioms (removed 2 axioms).
% 2.76/1.49 % [INFO] Problem is first-order (TPTP FOF).
% 2.76/1.50 % [INFO] Type checking passed.
% 2.76/1.50 % [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 ...
% 4.89/2.13 % [INFO] Killing All external provers ...
% 4.89/2.13 % Time passed: 1625ms (effective reasoning time: 1083ms)
% 4.89/2.13 % 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)>
% 4.89/2.13 % Axioms used in derivation (0):
% 4.89/2.13 % No. of inferences in proof: 4
% 4.89/2.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1625 ms resp. 1083 ms w/o parsing
% 5.05/2.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.05/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------