TSTP Solution File: AGT038^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : AGT038^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 May 20 17:58:30 EDT 2024
% Result : Theorem 111.99s 18.26s
% Output : Refutation 112.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 57 ( 19 unt; 17 typ; 7 def)
% Number of atoms : 95 ( 11 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 211 ( 30 ~; 17 |; 0 &; 162 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 63 ( 12 ^ 48 !; 3 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_def,definition,
( mforall_ind
= ( ^ [A: mu > $i > $o,B: $i] :
! [C: mu] : ( A @ C @ B ) ) ) ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
! [D: $i] :
( ~ ( A @ C @ D )
| ( B @ D ) ) ) ) ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: $i > $i > $o,B: $i > $o] : ( mnot @ ( mbox @ A @ ( mnot @ B ) ) ) ) ) ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(msymmetric_def,definition,
( msymmetric
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i] :
( ( A @ B @ C )
=> ( A @ C @ B ) ) ) ) ).
thf(mserial_type,type,
mserial: ( $i > $i > $o ) > $o ).
thf(mserial_def,definition,
( mserial
= ( ^ [A: $i > $i > $o] :
! [B: $i] :
? [C: $i] : ( A @ B @ C ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(piotr_type,type,
piotr: mu ).
thf(pepsi_type,type,
pepsi: mu ).
thf(beer_type,type,
beer: mu ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(possibly_likes_type,type,
possibly_likes: mu > mu > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk3_type,type,
sk3: $i > $i ).
thf(sk7_type,type,
sk7: $i > $i ).
thf(29,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(99,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a1 @ A @ B )
| ~ ( likes @ piotr @ beer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(100,plain,
~ ? [A: $i] :
! [B: $i] :
( ~ ( a1 @ A @ B )
| ~ ( likes @ piotr @ beer @ B ) ),
inference(miniscope,[status(thm)],[99]) ).
thf(102,plain,
! [A: $i] : ( a1 @ A @ ( sk7 @ A ) ),
inference(cnf,[status(esa)],[100]) ).
thf(30,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(103,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a1 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(104,plain,
! [D: $i,C: mu,B: mu,A: $i] :
( ~ ( a1 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ( possibly_likes @ B @ C @ A ) ),
inference(cnf,[status(esa)],[103]) ).
thf(1,conjecture,
mvalid @ ( possibly_likes @ piotr @ pepsi ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ piotr @ pepsi ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ ! [A: $i] : ( possibly_likes @ piotr @ pepsi @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,plain,
~ ( possibly_likes @ piotr @ pepsi @ sk1 ),
inference(cnf,[status(esa)],[42]) ).
thf(14714,plain,
! [D: $i,C: mu,B: mu,A: $i] :
( ~ ( a1 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ( ( possibly_likes @ B @ C @ A )
!= ( possibly_likes @ piotr @ pepsi @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[104,43]) ).
thf(14715,plain,
! [A: $i] :
( ~ ( a1 @ sk1 @ A )
| ~ ( likes @ piotr @ pepsi @ A ) ),
inference(pattern_uni,[status(thm)],[14714:[bind(A,$thf( sk1 )),bind(B,$thf( piotr )),bind(C,$thf( pepsi ))]]) ).
thf(14735,plain,
! [A: $i] :
( ~ ( a1 @ sk1 @ A )
| ~ ( likes @ piotr @ pepsi @ A ) ),
inference(simp,[status(thm)],[14715]) ).
thf(10,axiom,
mserial @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(58,plain,
! [A: $i] :
? [B: $i] : ( a1 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(59,plain,
! [A: $i] : ( a1 @ A @ ( sk3 @ A ) ),
inference(cnf,[status(esa)],[58]) ).
thf(9,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(57,plain,
! [B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ( a1 @ B @ A ) ),
inference(cnf,[status(esa)],[56]) ).
thf(460,plain,
! [C: $i,B: $i,A: $i] :
( ( a1 @ C @ B )
| ( ( a1 @ A @ ( sk3 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[59,57]) ).
thf(461,plain,
! [A: $i] : ( a1 @ ( sk3 @ A ) @ A ),
inference(pattern_uni,[status(thm)],[460:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk3 @ D ))]]) ).
thf(471,plain,
! [A: $i] : ( a1 @ ( sk3 @ A ) @ A ),
inference(simp,[status(thm)],[461]) ).
thf(37,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(117,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ pepsi @ B ) ),
inference(cnf,[status(esa)],[117]) ).
thf(704,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ piotr @ pepsi @ C )
| ( ( a1 @ ( sk3 @ A ) @ A )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[471,118]) ).
thf(705,plain,
! [A: $i] : ( likes @ piotr @ pepsi @ A ),
inference(pattern_uni,[status(thm)],[704:[bind(A,$thf( D )),bind(B,$thf( sk3 @ D )),bind(C,$thf( D ))]]) ).
thf(722,plain,
! [A: $i] : ( likes @ piotr @ pepsi @ A ),
inference(simp,[status(thm)],[705]) ).
thf(14737,plain,
! [A: $i] :
( ~ ( a1 @ sk1 @ A )
| ~ $true ),
inference(rewrite,[status(thm)],[14735,722]) ).
thf(14738,plain,
! [A: $i] :
~ ( a1 @ sk1 @ A ),
inference(simp,[status(thm)],[14737]) ).
thf(14744,plain,
! [B: $i,A: $i] :
( ( a1 @ A @ ( sk7 @ A ) )
!= ( a1 @ sk1 @ B ) ),
inference(paramod_ordered,[status(thm)],[102,14738]) ).
thf(14745,plain,
$false,
inference(pattern_uni,[status(thm)],[14744:[bind(A,$thf( sk1 )),bind(B,$thf( sk7 @ sk1 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : AGT038^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 18:53:39 EDT 2024
% 0.14/0.34 % CPUTime :
% 1.07/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.73/1.29 % [INFO] Parsing done (285ms).
% 1.73/1.31 % [INFO] Running in sequential loop mode.
% 2.47/1.69 % [INFO] nitpick registered as external prover.
% 2.47/1.70 % [INFO] Scanning for conjecture ...
% 2.86/1.91 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 3.17/1.98 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 3.17/2.00 % [INFO] Problem is higher-order (TPTP THF).
% 3.17/2.01 % [INFO] Type checking passed.
% 3.17/2.02 % [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 ...
% 111.99/18.25 % [INFO] Killing All external provers ...
% 111.99/18.26 % Time passed: 17759ms (effective reasoning time: 16943ms)
% 111.99/18.26 % 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)>
% 111.99/18.26 % Axioms used in derivation (5): axioms_B_a1, axiom_a3_3, axiom_user_communication_3, axioms_D_a1, axiom_a1_2
% 111.99/18.26 % No. of inferences in proof: 33
% 111.99/18.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 17759 ms resp. 16943 ms w/o parsing
% 112.12/18.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 112.12/18.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------