TSTP Solution File: SWV217+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWV217+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 : Tue May 7 10:57:29 EDT 2024
% Result : Theorem 7.18s 3.03s
% Output : Refutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 31 ( 11 unt; 14 typ; 0 def)
% Number of atoms : 191 ( 178 equ; 0 cnn)
% Maximal formula atoms : 58 ( 11 avg)
% Number of connectives : 300 ( 84 ~; 3 |; 165 &; 42 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(leq_type,type,
leq: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(n5_type,type,
n5: $i ).
thf(n4_type,type,
n4: $i ).
thf(n3_type,type,
n3: $i ).
thf(n1_type,type,
n1: $i ).
thf(n2_type,type,
n2: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(divide_type,type,
divide: $i > $i > $i ).
thf(n400_type,type,
n400: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(sigma_type,type,
sigma: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0241) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(92,plain,
~ ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(118,plain,
n2 = sk2,
inference(cnf,[status(esa)],[92]) ).
thf(131,plain,
sk2 = n2,
inference(lifteq,[status(thm)],[118]) ).
thf(107,plain,
n3 = sk2,
inference(cnf,[status(esa)],[92]) ).
thf(150,plain,
sk2 = n3,
inference(lifteq,[status(thm)],[107]) ).
thf(602,plain,
n2 = n3,
inference(rewrite,[status(thm)],[150,131]) ).
thf(604,plain,
sk2 = n3,
inference(rewrite,[status(thm)],[131,602]) ).
thf(101,plain,
( ( n2 != sk2 )
| ( n3 != sk1 ) ),
inference(cnf,[status(esa)],[92]) ).
thf(126,plain,
( ( sk2 != n2 )
| ( sk1 != n3 ) ),
inference(lifteq,[status(thm)],[101]) ).
thf(116,plain,
n2 = sk1,
inference(cnf,[status(esa)],[92]) ).
thf(128,plain,
sk1 = n2,
inference(lifteq,[status(thm)],[116]) ).
thf(603,plain,
sk1 = n3,
inference(rewrite,[status(thm)],[128,602]) ).
thf(605,plain,
( ( sk2 != n3 )
| ( n3 != n3 ) ),
inference(rewrite,[status(thm)],[126,602,603]) ).
thf(606,plain,
sk2 != n3,
inference(simp,[status(thm)],[605]) ).
thf(609,plain,
$false,
inference(simplifyReflect,[status(thm)],[604,606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV217+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 7 00:31:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.08 % [INFO] Parsing done (214ms).
% 1.27/1.09 % [INFO] Running in sequential loop mode.
% 1.81/1.38 % [INFO] nitpick registered as external prover.
% 1.99/1.38 % [INFO] Scanning for conjecture ...
% 2.30/1.55 % [INFO] Found a conjecture and 91 axioms. Running axiom selection ...
% 2.46/1.65 % [INFO] Axiom selection finished. Selected 89 axioms (removed 2 axioms).
% 2.87/1.76 % [INFO] Problem is first-order (TPTP FOF).
% 2.87/1.77 % [INFO] Type checking passed.
% 2.87/1.77 % [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 ...
% 7.18/3.03 % [INFO] Killing All external provers ...
% 7.18/3.03 % Time passed: 2555ms (effective reasoning time: 1933ms)
% 7.18/3.03 % 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)>
% 7.18/3.03 % Axioms used in derivation (0):
% 7.18/3.03 % No. of inferences in proof: 17
% 7.18/3.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2555 ms resp. 1933 ms w/o parsing
% 7.18/3.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.18/3.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------