TSTP Solution File: SEV067^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---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 SAT
% Computer : n021.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 15:59:27 EDT 2024
% Result : Theorem 4.04s 1.91s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 26 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 8 equ; 0 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 299 ( 26 ~; 33 |; 36 &; 176 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 82 ( 0 ^ 80 !; 2 ?; 82 :)
% 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(sk1_type,type,
sk1: a ).
thf(sk2_type,type,
sk2: a ).
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(4,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(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [B: a,A: a] :
( ( cR @ A @ B )
| ( cR @ B @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(15,plain,
! [B: a,A: a] :
( ( cR @ A @ B )
| ( cR @ B @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(14,plain,
cT @ sk2,
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [B: a,A: a] :
( ~ ( cR @ A @ B )
| ~ ( cT @ B )
| ( cT @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(16,plain,
! [B: a,A: a] :
( ~ ( cR @ A @ B )
| ~ ( cT @ B )
| ( cT @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(28,plain,
! [B: a,A: a] :
( ~ ( cR @ A @ B )
| ( cT @ A )
| ( ( cT @ sk2 )
!= ( cT @ B ) ) ),
inference(paramod_ordered,[status(thm)],[14,16]) ).
thf(29,plain,
! [A: a] :
( ~ ( cR @ A @ sk2 )
| ( cT @ A ) ),
inference(pattern_uni,[status(thm)],[28:[bind(A,$thf( A )),bind(B,$thf( sk2 ))]]) ).
thf(62,plain,
! [C: a,B: a,A: a] :
( ( cR @ B @ A )
| ( cT @ C )
| ( ( cR @ A @ B )
!= ( cR @ C @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[15,29]) ).
thf(63,plain,
! [A: a] :
( ( cR @ sk2 @ A )
| ( cT @ A ) ),
inference(pattern_uni,[status(thm)],[62:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( A ))]]) ).
thf(11,plain,
! [B: a,A: a] :
( ~ ( cR @ A @ B )
| ~ ( cS @ B )
| ( cS @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(19,plain,
! [B: a,A: a] :
( ~ ( cR @ A @ B )
| ~ ( cS @ B )
| ( cS @ A ) ),
inference(simp,[status(thm)],[11]) ).
thf(83,plain,
! [C: a,B: a,A: a] :
( ( cT @ A )
| ~ ( cS @ C )
| ( cS @ B )
| ( ( cR @ sk2 @ A )
!= ( cR @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[63,19]) ).
thf(84,plain,
! [A: a] :
( ( cT @ A )
| ~ ( cS @ A )
| ( cS @ sk2 ) ),
inference(pattern_uni,[status(thm)],[83:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( A ))]]) ).
thf(10,plain,
~ ( cS @ sk2 ),
inference(cnf,[status(esa)],[4]) ).
thf(177,plain,
! [A: a] :
( ( cT @ A )
| ~ ( cS @ A )
| $false ),
inference(rewrite,[status(thm)],[84,10]) ).
thf(178,plain,
! [A: a] :
( ( cT @ A )
| ~ ( cS @ A ) ),
inference(simp,[status(thm)],[177]) ).
thf(9,plain,
~ ( cT @ sk1 ),
inference(cnf,[status(esa)],[4]) ).
thf(179,plain,
! [A: a] :
( ~ ( cS @ A )
| ( ( cT @ A )
!= ( cT @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[178,9]) ).
thf(180,plain,
~ ( cS @ sk1 ),
inference(pattern_uni,[status(thm)],[179:[bind(A,$thf( sk1 ))]]) ).
thf(12,plain,
cS @ sk1,
inference(cnf,[status(esa)],[4]) ).
thf(190,plain,
~ $true,
inference(rewrite,[status(thm)],[180,12]) ).
thf(191,plain,
$false,
inference(simp,[status(thm)],[190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV067^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:40:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.98 % [INFO] Parsing done (107ms).
% 1.14/0.99 % [INFO] Running in sequential loop mode.
% 1.59/1.18 % [INFO] nitpick registered as external prover.
% 1.59/1.19 % [INFO] Scanning for conjecture ...
% 1.83/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.27 % [INFO] Type checking passed.
% 1.83/1.27 % [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 ...
% 4.04/1.91 % [INFO] Killing All external provers ...
% 4.04/1.91 % Time passed: 1374ms (effective reasoning time: 919ms)
% 4.04/1.91 % 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)>
% 4.04/1.91 % Axioms used in derivation (0):
% 4.04/1.91 % No. of inferences in proof: 26
% 4.04/1.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1374 ms resp. 919 ms w/o parsing
% 4.04/1.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.04/1.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------