TSTP Solution File: SYO276^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO276^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 21 08:59:46 EDT 2024
% Result : Theorem 3.80s 1.85s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 44 ( 33 equ; 14 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 148 ( 17 ~; 16 |; 6 &; 100 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(m_type,type,
m: $i ).
thf(cP_type,type,
cP: $i > $o ).
thf(n_type,type,
n: $i ).
thf(s_type,type,
s: $i > $i ).
thf(cO_type,type,
cO: $i ).
thf(sk1_type,type,
sk1: ( $i > $i > $o ) > $i ).
thf(sk2_type,type,
sk2: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
( ( ! [A: $i > $i > $o] :
( ( ( A @ cO @ cO )
& ! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ ( s @ B ) @ ( s @ C ) ) ) )
=> ( A @ n @ m ) )
& ( cP @ n ) )
=> ( cP @ m ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_SV_I2) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i > $i > $o] :
( ( ( A @ cO @ cO )
& ! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ ( s @ B ) @ ( s @ C ) ) ) )
=> ( A @ n @ m ) )
& ( cP @ n ) )
=> ( cP @ m ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: $i > $i > $o] :
( ( ( A @ cO @ cO )
& ! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ ( s @ B ) @ ( s @ C ) ) ) )
=> ( A @ n @ m ) )
& ( cP @ n ) )
=> ( cP @ m ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [A: $i > $i > $o] :
( ~ ( A @ cO @ cO )
| ( A @ ( sk1 @ A ) @ ( sk2 @ A ) )
| ( A @ n @ m ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
( ( cO != cO )
| ( ( sk1 @ ( (=) @ $i ) )
= ( sk2 @ ( (=) @ $i ) ) )
| ( n = m ) ),
inference(replace_andrewseq,[status(thm)],[7:[bind(A,$thf( (=) @ $i ))]]) ).
thf(10,plain,
( ( cO != cO )
| ( ( sk2 @ ( (=) @ $i ) )
= ( sk1 @ ( (=) @ $i ) ) )
| ( n = m ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sk2 @ ( (=) @ $i ) )
= ( sk1 @ ( (=) @ $i ) ) )
| ( n = m ) ),
inference(simp,[status(thm)],[10]) ).
thf(5,plain,
cP @ n,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( cP @ m ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
( ( cP @ n )
!= ( cP @ m ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(15,plain,
n != m,
inference(simp,[status(thm)],[14]) ).
thf(16,plain,
( ( sk2 @ ( (=) @ $i ) )
= ( sk1 @ ( (=) @ $i ) ) ),
inference(simplifyReflect,[status(thm)],[11,15]) ).
thf(6,plain,
! [A: $i > $i > $o] :
( ~ ( A @ cO @ cO )
| ~ ( A @ ( s @ ( sk1 @ A ) ) @ ( s @ ( sk2 @ A ) ) )
| ( A @ n @ m ) ),
inference(cnf,[status(esa)],[3]) ).
thf(19,plain,
! [A: $i > $i > $o] :
( ~ ( A @ cO @ cO )
| ~ ( A @ ( s @ ( sk1 @ A ) ) @ ( s @ ( sk1 @ ( (=) @ $i ) ) ) )
| ( A @ n @ m )
| ( ( sk2 @ ( (=) @ $i ) )
!= ( sk2 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[16,6]) ).
thf(20,plain,
( ( cO != cO )
| ( ( s @ ( sk1 @ ( (=) @ $i ) ) )
!= ( s @ ( sk1 @ ( (=) @ $i ) ) ) )
| ( n = m ) ),
inference(pattern_uni,[status(thm)],[19:[bind(A,$thf( (=) @ $i ))]]) ).
thf(35,plain,
( ( cO != cO )
| ( ( s @ ( sk1 @ ( (=) @ $i ) ) )
!= ( s @ ( sk1 @ ( (=) @ $i ) ) ) )
| ( n = m ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(46,plain,
n = m,
inference(simp,[status(thm)],[35]) ).
thf(74,plain,
$false,
inference(simplifyReflect,[status(thm)],[46,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO276^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n007.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 20 09:07:24 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.97 % [INFO] Parsing done (102ms).
% 1.17/0.98 % [INFO] Running in sequential loop mode.
% 1.67/1.20 % [INFO] nitpick registered as external prover.
% 1.67/1.20 % [INFO] Scanning for conjecture ...
% 1.81/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.81/1.28 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.81/1.28 % [INFO] Problem is higher-order (TPTP THF).
% 1.81/1.29 % [INFO] Type checking passed.
% 1.81/1.29 % [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 ...
% 3.80/1.84 % [INFO] Killing All external provers ...
% 3.80/1.84 % Time passed: 1319ms (effective reasoning time: 862ms)
% 3.80/1.84 % 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)>
% 3.80/1.85 % Axioms used in derivation (0):
% 3.80/1.85 % No. of inferences in proof: 18
% 3.80/1.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1319 ms resp. 862 ms w/o parsing
% 3.80/1.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.80/1.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------