TSTP Solution File: AGT034^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : AGT034^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 10:24:49 EDT 2024
% Result : Theorem 64.59s 10.23s
% Output : Refutation 64.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 67 ( 19 unt; 22 typ; 7 def)
% Number of atoms : 147 ( 14 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 416 ( 52 ~; 40 |; 0 &; 322 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 10 con; 0-4 aty)
% Number of variables : 74 ( 15 ^ 58 !; 1 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: $i > $o,B: $i > $o] : ( mnot @ ( mor @ ( mnot @ A ) @ ( mnot @ B ) ) ) ) ) ).
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(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(a2_type,type,
a2: $i > $i > $o ).
thf(a3_type,type,
a3: $i > $i > $o ).
thf(jan_type,type,
jan: mu ).
thf(piotr_type,type,
piotr: mu ).
thf(cola_type,type,
cola: mu ).
thf(pepsi_type,type,
pepsi: mu ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(very_much_likes_type,type,
very_much_likes: mu > mu > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk5_type,type,
sk5: mu > mu > $i > $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(sk8_type,type,
sk8: $i > mu > mu > $i > $i ).
thf(sk9_type,type,
sk9: $i > mu > mu > $i > $i ).
thf(24,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ A @ B ) ) @ ( very_much_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(86,plain,
! [A: $i,B: mu,C: mu] :
( ~ ! [D: $i] :
( ~ ( a3 @ A @ D )
| ( very_much_likes @ B @ C @ D ) )
| ( very_much_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(87,plain,
! [C: mu,B: mu,A: $i] :
( ( a3 @ A @ ( sk5 @ C @ B @ A ) )
| ( very_much_likes @ B @ C @ A ) ),
inference(cnf,[status(esa)],[86]) ).
thf(1,conjecture,
mvalid @ ( very_much_likes @ jan @ cola ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mvalid @ ( very_much_likes @ jan @ cola ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ ! [A: $i] : ( very_much_likes @ jan @ cola @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,plain,
~ ( very_much_likes @ jan @ cola @ sk1 ),
inference(cnf,[status(esa)],[42]) ).
thf(734,plain,
! [C: mu,B: mu,A: $i] :
( ( a3 @ A @ ( sk5 @ C @ B @ A ) )
| ( ( very_much_likes @ B @ C @ A )
!= ( very_much_likes @ jan @ cola @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[87,43]) ).
thf(735,plain,
a3 @ sk1 @ ( sk5 @ cola @ jan @ sk1 ),
inference(pattern_uni,[status(thm)],[734:[bind(A,$thf( sk1 )),bind(B,$thf( jan )),bind(C,$thf( cola ))]]) ).
thf(8,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(54,plain,
! [A: $i,B: $i] :
( ( a3 @ A @ B )
=> ( a3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ A @ B )
| ( a3 @ B @ A ) ),
inference(cnf,[status(esa)],[54]) ).
thf(1872,plain,
! [B: $i,A: $i] :
( ( a3 @ B @ A )
| ( ( a3 @ sk1 @ ( sk5 @ cola @ jan @ sk1 ) )
!= ( a3 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[735,55]) ).
thf(1873,plain,
a3 @ ( sk5 @ cola @ jan @ sk1 ) @ sk1,
inference(pattern_uni,[status(thm)],[1872:[bind(A,$thf( sk1 )),bind(B,$thf( sk5 @ cola @ jan @ sk1 ))]]) ).
thf(38,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ A @ B ) @ ( mand @ ( mbox @ a1 @ ( likes @ A @ B ) ) @ ( mbox @ a2 @ ( likes @ A @ B ) ) ) ) @ ( very_much_likes @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(119,plain,
! [A: $i,B: mu,C: mu,D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ~ ! [E: $i] :
( ~ ( a1 @ D @ E )
| ( likes @ B @ C @ E ) )
| ~ ! [E: $i] :
( ~ ( a2 @ D @ E )
| ( likes @ B @ C @ E ) )
| ( very_much_likes @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(120,plain,
! [D: $i,C: mu,B: mu,A: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ~ ( likes @ B @ C @ ( sk8 @ D @ C @ B @ A ) )
| ~ ( likes @ B @ C @ ( sk9 @ D @ C @ B @ A ) )
| ( very_much_likes @ B @ C @ D ) ),
inference(cnf,[status(esa)],[119]) ).
thf(140,plain,
! [D: $i,C: mu,B: mu,A: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D )
| ~ ( likes @ B @ C @ ( sk8 @ D @ C @ B @ A ) )
| ~ ( likes @ B @ C @ ( sk9 @ D @ C @ B @ A ) )
| ( ( very_much_likes @ B @ C @ D )
!= ( very_much_likes @ jan @ cola @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[120,43]) ).
thf(141,plain,
! [A: $i] :
( ~ ( a3 @ A @ sk1 )
| ~ ( likes @ jan @ cola @ sk1 )
| ~ ( likes @ jan @ cola @ ( sk8 @ sk1 @ cola @ jan @ A ) )
| ~ ( likes @ jan @ cola @ ( sk9 @ sk1 @ cola @ jan @ A ) ) ),
inference(pattern_uni,[status(thm)],[140:[bind(A,$thf( A )),bind(B,$thf( jan )),bind(C,$thf( cola )),bind(D,$thf( sk1 ))]]) ).
thf(169,plain,
! [A: $i] :
( ~ ( a3 @ A @ sk1 )
| ~ ( likes @ jan @ cola @ sk1 )
| ~ ( likes @ jan @ cola @ ( sk8 @ sk1 @ cola @ jan @ A ) )
| ( ( likes @ jan @ cola @ ( sk9 @ sk1 @ cola @ jan @ A ) )
!= ( likes @ jan @ cola @ ( sk8 @ sk1 @ cola @ jan @ A ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[141]) ).
thf(172,plain,
! [A: $i] :
( ~ ( a3 @ A @ sk1 )
| ~ ( likes @ jan @ cola @ sk1 )
| ~ ( likes @ jan @ cola @ ( sk8 @ sk1 @ cola @ jan @ A ) )
| ( ( likes @ jan @ cola @ ( sk9 @ sk1 @ cola @ jan @ A ) )
!= ( likes @ jan @ cola @ ( sk8 @ sk1 @ cola @ jan @ A ) ) ) ),
inference(simp,[status(thm)],[169]) ).
thf(26,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(91,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a3 @ A @ B )
| ~ ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(92,plain,
~ ? [A: $i] :
! [B: $i] :
( ~ ( a3 @ A @ B )
| ~ ( likes @ piotr @ pepsi @ B ) ),
inference(miniscope,[status(thm)],[91]) ).
thf(94,plain,
! [A: $i] : ( a3 @ A @ ( sk6 @ A ) ),
inference(cnf,[status(esa)],[92]) ).
thf(1874,plain,
! [C: $i,B: $i,A: $i] :
( ( a3 @ C @ B )
| ( ( a3 @ A @ ( sk6 @ A ) )
!= ( a3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[94,55]) ).
thf(1875,plain,
! [A: $i] : ( a3 @ ( sk6 @ A ) @ A ),
inference(pattern_uni,[status(thm)],[1874:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk6 @ D ))]]) ).
thf(1877,plain,
! [A: $i] : ( a3 @ ( sk6 @ A ) @ A ),
inference(simp,[status(thm)],[1875]) ).
thf(39,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(124,plain,
! [A: $i,B: $i] :
( ~ ( a3 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(cnf,[status(esa)],[124]) ).
thf(1975,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ jan @ cola @ C )
| ( ( a3 @ ( sk6 @ A ) @ A )
!= ( a3 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[1877,125]) ).
thf(1976,plain,
! [A: $i] : ( likes @ jan @ cola @ A ),
inference(pattern_uni,[status(thm)],[1975:[bind(A,$thf( D )),bind(B,$thf( sk6 @ D )),bind(C,$thf( D ))]]) ).
thf(1983,plain,
! [A: $i] : ( likes @ jan @ cola @ A ),
inference(simp,[status(thm)],[1976]) ).
thf(12357,plain,
! [A: $i] :
( ~ ( a3 @ A @ sk1 )
| ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[172,1983]) ).
thf(12358,plain,
! [A: $i] :
~ ( a3 @ A @ sk1 ),
inference(simp,[status(thm)],[12357]) ).
thf(12391,plain,
$false,
inference(rewrite,[status(thm)],[1873,12358]) ).
thf(12392,plain,
$false,
inference(simp,[status(thm)],[12391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT034^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 22:28:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.06 % [INFO] Parsing done (179ms).
% 1.43/1.07 % [INFO] Running in sequential loop mode.
% 1.95/1.30 % [INFO] nitpick registered as external prover.
% 1.95/1.30 % [INFO] Scanning for conjecture ...
% 2.22/1.43 % [INFO] Found a conjecture and 39 axioms. Running axiom selection ...
% 2.49/1.48 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.66/1.49 % [INFO] Problem is higher-order (TPTP THF).
% 2.66/1.50 % [INFO] Type checking passed.
% 2.66/1.50 % [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 ...
% 64.59/10.22 % [INFO] Killing All external provers ...
% 64.59/10.22 % Time passed: 9696ms (effective reasoning time: 9153ms)
% 64.59/10.22 % 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)>
% 64.59/10.23 % Axioms used in derivation (5): axiom_a3_4, axiom_a3_1, axiom_a3_2, axiom_user_communication_1, axioms_B_a3
% 64.59/10.23 % No. of inferences in proof: 38
% 64.59/10.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 9696 ms resp. 9153 ms w/o parsing
% 64.59/10.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 64.59/10.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------