TSTP Solution File: AGT031^1 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n008.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 03:39:37 EDT 2024
% Result : Theorem 11.48s 3.82s
% Output : Refutation 11.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 85
% Syntax : Number of formulae : 200 ( 40 unt; 33 typ; 12 def)
% Number of atoms : 572 ( 103 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1676 ( 221 ~; 174 |; 14 &;1245 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 111 ( 111 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 11 con; 0-4 aty)
% Number of variables : 343 ( 37 ^ 298 !; 8 ?; 343 :)
% 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(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(mexists_ind_def,definition,
( mexists_ind
= ( ^ [A: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [B: mu] : ( mnot @ ( A @ 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(meuclidean_type,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(meuclidean_def,definition,
( meuclidean
= ( ^ [A: $i > $i > $o] :
! [B: $i,C: $i,D: $i] :
( ( ( A @ B @ C )
& ( A @ B @ D ) )
=> ( A @ C @ D ) ) ) ) ).
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(beer_type,type,
beer: mu ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(very_much_likes_type,type,
very_much_likes: mu > mu > $i > $o ).
thf(possibly_likes_type,type,
possibly_likes: mu > mu > $i > $o ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(subrel_def,definition,
( subrel
= ( ^ [A: $i > $i > $o,B: $i > $i > $o] :
! [C: $i,D: $i] :
( ( A @ C @ D )
=> ( B @ C @ D ) ) ) ) ).
thf(cond4s_type,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(cond4s_def,definition,
( cond4s
= ( ^ [A: $i > $i > $o,B: $i > $i > $o] :
! [C: $i,D: $i,E: $i] :
( ( ( A @ C @ D )
& ( B @ D @ E ) )
=> ( B @ C @ E ) ) ) ) ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk3_type,type,
sk3: $i > $i ).
thf(sk4_type,type,
sk4: $i > $i ).
thf(sk5_type,type,
sk5: mu > mu > $i > $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(sk7_type,type,
sk7: $i > $i ).
thf(sk8_type,type,
sk8: $i > mu > mu > $i > $i ).
thf(sk9_type,type,
sk9: $i > mu > mu > $i > $i ).
thf(5,axiom,
mserial @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(49,plain,
! [A: $i] :
? [B: $i] : ( a3 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(50,plain,
! [A: $i] : ( a3 @ A @ ( sk2 @ A ) ),
inference(cnf,[status(esa)],[49]) ).
thf(26,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(92,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a3 @ A @ B )
| ~ ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(93,plain,
~ ? [A: $i] :
! [B: $i] :
( ~ ( a3 @ A @ B )
| ~ ( likes @ piotr @ pepsi @ B ) ),
inference(miniscope,[status(thm)],[92]) ).
thf(94,plain,
! [A: $i] : ( likes @ piotr @ pepsi @ ( sk6 @ A ) ),
inference(cnf,[status(esa)],[93]) ).
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(120,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(121,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)],[120]) ).
thf(1,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [A: mu] : ( mexists_ind @ ( very_much_likes @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [A: mu] : ( mexists_ind @ ( very_much_likes @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ ! [A: $i] :
~ ! [B: mu,C: mu] :
~ ( very_much_likes @ B @ C @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,plain,
~ ~ ~ ! [A: $i] :
? [B: mu,C: mu] : ( very_much_likes @ B @ C @ A ),
inference(miniscope,[status(thm)],[42]) ).
thf(44,plain,
! [B: mu,A: mu] :
~ ( very_much_likes @ A @ B @ sk1 ),
inference(cnf,[status(esa)],[43]) ).
thf(135,plain,
! [F: mu,E: mu,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 @ E @ F @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[121,44]) ).
thf(136,plain,
! [C: mu,B: mu,A: $i] :
( ~ ( a3 @ A @ sk1 )
| ~ ( likes @ B @ C @ sk1 )
| ~ ( likes @ B @ C @ ( sk8 @ sk1 @ C @ B @ A ) )
| ~ ( likes @ B @ C @ ( sk9 @ sk1 @ C @ B @ A ) ) ),
inference(pattern_uni,[status(thm)],[135:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk1 )),bind(E,$thf( B )),bind(F,$thf( C ))]]) ).
thf(167,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ sk1 )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( ( likes @ piotr @ pepsi @ ( sk6 @ A ) )
!= ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,136]) ).
thf(178,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ sk1 )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( piotr != C )
| ( pepsi != D )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ D @ C @ B ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ sk1 )
| ~ ( likes @ piotr @ pepsi @ ( sk9 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) ) ),
inference(simp,[status(thm)],[178]) ).
thf(215,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( likes @ piotr @ pepsi @ ( sk9 @ sk1 @ pepsi @ piotr @ B ) )
!= ( likes @ piotr @ pepsi @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[184]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( piotr != piotr )
| ( pepsi != pepsi )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ B )
!= sk1 ) ),
inference(simp,[status(thm)],[215]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ B )
!= sk1 ) ),
inference(simp,[status(thm)],[222]) ).
thf(288,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( a3 @ A @ ( sk2 @ A ) )
!= ( a3 @ C @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[50,228]) ).
thf(292,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( A != C )
| ( ( sk2 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[288]) ).
thf(297,plain,
! [B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ B )
!= sk1 )
| ( ( sk2 @ B )
!= sk1 ) ),
inference(simp,[status(thm)],[292]) ).
thf(7,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a1) ).
thf(53,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(41,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(129,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a2 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(17,axiom,
meuclidean @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a2) ).
thf(73,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ A @ C ) )
=> ( a2 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(18,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
cond4s @ a2 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a1) ).
thf(69,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
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(87,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(88,plain,
! [C: mu,B: mu,A: $i] :
( ( a3 @ A @ ( sk5 @ C @ B @ A ) )
| ( very_much_likes @ B @ C @ A ) ),
inference(cnf,[status(esa)],[87]) ).
thf(640,plain,
! [E: mu,D: mu,C: mu,B: mu,A: $i] :
( ( a3 @ A @ ( sk5 @ C @ B @ A ) )
| ( ( very_much_likes @ B @ C @ A )
!= ( very_much_likes @ D @ E @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[88,44]) ).
thf(641,plain,
! [B: mu,A: mu] : ( a3 @ sk1 @ ( sk5 @ B @ A @ sk1 ) ),
inference(pattern_uni,[status(thm)],[640:[bind(A,$thf( sk1 )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( B )),bind(E,$thf( C ))]]) ).
thf(655,plain,
! [B: mu,A: mu] : ( a3 @ sk1 @ ( sk5 @ B @ A @ sk1 ) ),
inference(simp,[status(thm)],[641]) ).
thf(29,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(100,plain,
! [A: $i] :
~ ! [B: $i] :
( ~ ( a1 @ A @ B )
| ~ ( likes @ piotr @ beer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(101,plain,
~ ? [A: $i] :
! [B: $i] :
( ~ ( a1 @ A @ B )
| ~ ( likes @ piotr @ beer @ B ) ),
inference(miniscope,[status(thm)],[100]) ).
thf(102,plain,
! [A: $i] : ( likes @ piotr @ beer @ ( sk7 @ A ) ),
inference(cnf,[status(esa)],[101]) ).
thf(162,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( ( likes @ piotr @ beer @ ( sk7 @ A ) )
!= ( likes @ C @ D @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[102,136]) ).
thf(179,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( piotr != C )
| ( beer != D )
| ( ( sk7 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[162]) ).
thf(185,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ beer @ ( sk8 @ sk1 @ beer @ piotr @ B ) )
| ~ ( likes @ piotr @ beer @ ( sk9 @ sk1 @ beer @ piotr @ B ) )
| ( ( sk7 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[179]) ).
thf(95,plain,
! [A: $i] : ( a3 @ A @ ( sk6 @ A ) ),
inference(cnf,[status(esa)],[93]) ).
thf(287,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( a3 @ A @ ( sk6 @ A ) )
!= ( a3 @ C @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[95,228]) ).
thf(296,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( A != C )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[287]) ).
thf(301,plain,
! [B: $i,A: $i] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ A )
!= ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ B )
!= sk1 )
| ( ( sk6 @ B )
!= sk1 ) ),
inference(simp,[status(thm)],[296]) ).
thf(6,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a1) ).
thf(51,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ B @ C ) )
=> ( a1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ~ ( a1 @ B @ C )
| ( a1 @ A @ C ) ),
inference(cnf,[status(esa)],[51]) ).
thf(33,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ A @ pepsi ) @ ( likes @ A @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(110,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a2 @ A @ C )
| ~ ( likes @ B @ pepsi @ C )
| ( likes @ B @ cola @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(39,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(125,plain,
! [A: $i,B: $i] :
( ~ ( a3 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(3,axiom,
cond4s @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a2) ).
thf(45,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ~ ( a2 @ B @ C )
| ( a2 @ A @ C ) ),
inference(cnf,[status(esa)],[45]) ).
thf(9,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(31,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(106,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ beer @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(11,axiom,
cond4s @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a3) ).
thf(61,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(36,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ A @ cola ) ) @ ( likes @ A @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_4) ).
thf(116,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a1 @ A @ C )
| ! [D: $i] :
( ~ ( a1 @ C @ D )
| ~ ( likes @ B @ cola @ D ) )
| ( likes @ B @ pepsi @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(10,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(59,plain,
! [A: $i] :
? [B: $i] : ( a1 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(60,plain,
! [A: $i] : ( a1 @ A @ ( sk3 @ A ) ),
inference(cnf,[status(esa)],[59]) ).
thf(23,axiom,
cond4s @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a3) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(13,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( a2 @ A @ B )
=> ( a2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(27,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(96,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ jan @ cola @ B ) ),
inference(cnf,[status(esa)],[96]) ).
thf(19,axiom,
meuclidean @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a3) ).
thf(77,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a3 @ A @ B )
& ( a3 @ A @ C ) )
=> ( a3 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(103,plain,
! [A: $i] : ( a1 @ A @ ( sk7 @ A ) ),
inference(cnf,[status(esa)],[101]) ).
thf(25,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(90,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ cola @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(91,plain,
! [B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ cola @ B ) ),
inference(cnf,[status(esa)],[90]) ).
thf(264,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ piotr @ cola @ C )
| ( ( a1 @ A @ ( sk7 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[103,91]) ).
thf(265,plain,
! [A: $i] : ( likes @ piotr @ cola @ ( sk7 @ A ) ),
inference(pattern_uni,[status(thm)],[264:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk7 @ D ))]]) ).
thf(279,plain,
! [A: $i] : ( likes @ piotr @ cola @ ( sk7 @ A ) ),
inference(simp,[status(thm)],[265]) ).
thf(37,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(118,plain,
! [A: $i,B: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(16,axiom,
mserial @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(71,plain,
! [A: $i] :
? [B: $i] : ( a2 @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(34,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(112,plain,
! [A: $i,B: $i] :
( ~ ( a2 @ A @ B )
| ( likes @ jan @ pepsi @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(113,plain,
! [B: $i,A: $i] :
( ~ ( a2 @ A @ B )
| ( likes @ jan @ pepsi @ B ) ),
inference(cnf,[status(esa)],[112]) ).
thf(21,axiom,
cond4s @ a3 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a3) ).
thf(81,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a3 @ A @ B )
& ( a3 @ B @ C ) )
=> ( a3 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(28,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ A @ B ) ) @ ( likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(98,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( very_much_likes @ B @ C @ D ) )
| ( likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ A @ pepsi ) ) @ ( likes @ A @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(108,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a1 @ A @ C )
| ! [D: $i] :
( ~ ( a1 @ C @ D )
| ~ ( likes @ B @ pepsi @ D ) )
| ( likes @ B @ cola @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(262,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ piotr @ cola @ C )
| ( ( a1 @ A @ ( sk3 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[60,91]) ).
thf(263,plain,
! [A: $i] : ( likes @ piotr @ cola @ ( sk3 @ A ) ),
inference(pattern_uni,[status(thm)],[262:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk3 @ D ))]]) ).
thf(278,plain,
! [A: $i] : ( likes @ piotr @ cola @ ( sk3 @ A ) ),
inference(simp,[status(thm)],[263]) ).
thf(291,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a3 @ C @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( likes @ piotr @ pepsi @ ( sk6 @ A ) )
!= ( likes @ piotr @ pepsi @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[94,228]) ).
thf(294,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a3 @ C @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( piotr != piotr )
| ( pepsi != pepsi )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[291]) ).
thf(299,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a3 @ C @ sk1 )
| ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[294]) ).
thf(670,plain,
! [D: $i,C: $i,B: mu,A: mu] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ C )
!= ( sk8 @ sk1 @ pepsi @ piotr @ D ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ D )
!= sk1 )
| ( ( a3 @ sk1 @ ( sk5 @ B @ A @ sk1 ) )
!= ( a3 @ D @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[655,228]) ).
thf(673,plain,
! [D: $i,C: $i,B: mu,A: mu] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ C )
!= ( sk8 @ sk1 @ pepsi @ piotr @ D ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ D )
!= sk1 )
| ( sk1 != D )
| ( ( sk5 @ B @ A @ sk1 )
!= sk1 ) ),
inference(simp,[status(thm)],[670]) ).
thf(680,plain,
! [C: $i,B: mu,A: mu] :
( ~ ( likes @ piotr @ pepsi @ sk1 )
| ( ( sk6 @ C )
!= ( sk8 @ sk1 @ pepsi @ piotr @ sk1 ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ sk1 )
!= sk1 )
| ( ( sk5 @ B @ A @ sk1 )
!= sk1 ) ),
inference(simp,[status(thm)],[673]) ).
thf(4,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a2) ).
thf(47,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( a2 @ A @ B )
| ~ ( a2 @ B @ C )
| ( a2 @ A @ C ) ),
inference(cnf,[status(esa)],[47]) ).
thf(12,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a2) ).
thf(63,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a2 @ A @ B )
& ( a2 @ B @ C ) )
=> ( a2 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(304,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( sk2 @ C )
!= sk1 )
| ( ( likes @ piotr @ pepsi @ ( sk6 @ A ) )
!= ( likes @ piotr @ pepsi @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[94,297]) ).
thf(307,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( sk2 @ C )
!= sk1 )
| ( piotr != piotr )
| ( pepsi != pepsi )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[304]) ).
thf(310,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk6 @ B )
!= ( sk8 @ sk1 @ pepsi @ piotr @ C ) )
| ( ( sk9 @ sk1 @ pepsi @ piotr @ C )
!= sk1 )
| ( ( sk2 @ C )
!= sk1 )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[307]) ).
thf(14,axiom,
subrel @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a2_a3) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( a2 @ A @ B )
=> ( a3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(40,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ A @ cola ) @ ( likes @ A @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_5) ).
thf(127,plain,
! [A: $i,B: mu,C: $i] :
( ~ ( a2 @ A @ C )
| ~ ( likes @ B @ cola @ C )
| ( likes @ B @ pepsi @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(72,plain,
! [A: $i] : ( a2 @ A @ ( sk4 @ A ) ),
inference(cnf,[status(esa)],[71]) ).
thf(831,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ jan @ pepsi @ C )
| ( ( a2 @ A @ ( sk4 @ A ) )
!= ( a2 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[72,113]) ).
thf(832,plain,
! [A: $i] : ( likes @ jan @ pepsi @ ( sk4 @ A ) ),
inference(pattern_uni,[status(thm)],[831:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk4 @ D ))]]) ).
thf(864,plain,
! [A: $i] : ( likes @ jan @ pepsi @ ( sk4 @ A ) ),
inference(simp,[status(thm)],[832]) ).
thf(440,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ jan @ cola @ C )
| ( ( a1 @ A @ ( sk7 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[103,97]) ).
thf(441,plain,
! [A: $i] : ( likes @ jan @ cola @ ( sk7 @ A ) ),
inference(pattern_uni,[status(thm)],[440:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk7 @ D ))]]) ).
thf(465,plain,
! [A: $i] : ( likes @ jan @ cola @ ( sk7 @ A ) ),
inference(simp,[status(thm)],[441]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(104,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(168,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ( ( likes @ piotr @ pepsi @ ( sk6 @ A ) )
!= ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,136]) ).
thf(180,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ( piotr != C )
| ( pepsi != D )
| ( ( sk6 @ A )
!= ( sk9 @ sk1 @ D @ C @ B ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(186,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ sk1 )
| ~ ( likes @ piotr @ pepsi @ ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk6 @ A )
!= ( sk9 @ sk1 @ pepsi @ piotr @ B ) ) ),
inference(simp,[status(thm)],[180]) ).
thf(8,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(55,plain,
! [A: $i,B: $i] :
( ( a3 @ A @ B )
=> ( a3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(35,axiom,
( mvalid
@ ( mforall_ind
@ ^ [A: mu] :
( mforall_ind
@ ^ [B: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ A @ B ) ) @ ( possibly_likes @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5) ).
thf(114,plain,
! [A: $i,B: mu,C: mu] :
( ! [D: $i] :
( ~ ( a3 @ A @ D )
| ~ ( likes @ B @ C @ D ) )
| ( possibly_likes @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(166,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( ( likes @ piotr @ pepsi @ ( sk6 @ A ) )
!= ( likes @ C @ D @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[94,136]) ).
thf(177,plain,
! [D: mu,C: mu,B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ C @ D @ ( sk8 @ sk1 @ D @ C @ B ) )
| ~ ( likes @ C @ D @ ( sk9 @ sk1 @ D @ C @ B ) )
| ( piotr != C )
| ( pepsi != D )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[166]) ).
thf(183,plain,
! [B: $i,A: $i] :
( ~ ( a3 @ B @ sk1 )
| ~ ( likes @ piotr @ pepsi @ ( sk8 @ sk1 @ pepsi @ piotr @ B ) )
| ~ ( likes @ piotr @ pepsi @ ( sk9 @ sk1 @ pepsi @ piotr @ B ) )
| ( ( sk6 @ A )
!= sk1 ) ),
inference(simp,[status(thm)],[177]) ).
thf(107,plain,
! [B: $i,A: $i] :
( ~ ( a1 @ A @ B )
| ( likes @ piotr @ beer @ B ) ),
inference(cnf,[status(esa)],[106]) ).
thf(20,axiom,
meuclidean @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a1) ).
thf(79,plain,
! [A: $i,B: $i,C: $i] :
( ( ( a1 @ A @ B )
& ( a1 @ A @ C ) )
=> ( a1 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(438,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ jan @ cola @ C )
| ( ( a1 @ A @ ( sk3 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[60,97]) ).
thf(439,plain,
! [A: $i] : ( likes @ jan @ cola @ ( sk3 @ A ) ),
inference(pattern_uni,[status(thm)],[438:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk3 @ D ))]]) ).
thf(464,plain,
! [A: $i] : ( likes @ jan @ cola @ ( sk3 @ A ) ),
inference(simp,[status(thm)],[439]) ).
thf(22,axiom,
subrel @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a2) ).
thf(83,plain,
! [A: $i,B: $i] :
( ( a1 @ A @ B )
=> ( a2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(736,plain,
! [C: $i,B: $i,A: $i] :
( ( likes @ piotr @ beer @ C )
| ( ( a1 @ A @ ( sk3 @ A ) )
!= ( a1 @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[60,107]) ).
thf(737,plain,
! [A: $i] : ( likes @ piotr @ beer @ ( sk3 @ A ) ),
inference(pattern_uni,[status(thm)],[736:[bind(A,$thf( D )),bind(B,$thf( D )),bind(C,$thf( sk3 @ D ))]]) ).
thf(755,plain,
! [A: $i] : ( likes @ piotr @ beer @ ( sk3 @ A ) ),
inference(simp,[status(thm)],[737]) ).
thf(1110,plain,
$false,
inference(e,[status(thm)],[297,53,129,73,75,69,88,120,655,185,42,301,52,184,110,125,46,228,57,106,121,61,116,60,85,102,92,65,97,77,96,45,279,44,59,118,71,49,113,81,98,103,91,108,278,299,680,112,48,63,95,310,50,67,127,864,72,465,87,104,186,55,114,51,183,107,136,79,94,464,47,90,83,755,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.00/0.09 % Command : run_Leo-III %s %d THM
% 0.08/0.29 % Computer : n008.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Jun 19 03:53:40 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.90/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.36/1.13 % [INFO] Parsing done (241ms).
% 1.36/1.14 % [INFO] Running in sequential loop mode.
% 2.10/1.48 % [INFO] eprover registered as external prover.
% 2.12/1.48 % [INFO] Scanning for conjecture ...
% 2.44/1.65 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.65/1.72 % [INFO] Axiom selection finished. Selected 39 axioms (removed 0 axioms).
% 2.65/1.74 % [INFO] Problem is higher-order (TPTP THF).
% 2.65/1.75 % [INFO] Type checking passed.
% 2.65/1.75 % [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 ...
% 11.38/3.81 % External prover 'e' found a proof!
% 11.38/3.81 % [INFO] Killing All external provers ...
% 11.48/3.81 % Time passed: 3366ms (effective reasoning time: 2668ms)
% 11.48/3.81 % 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)>
% 11.48/3.82 % Axioms used in derivation (39): axioms_5_a3, axioms_B_a1, axiom_a1_4, axiom_a3_3, axiom_a2_2, axioms_5_a2, axiom_user_communication_4, axioms_5_a1, axioms_D_a1, axiom_a1_2, axiom_user_communication_2, axiom_I_a1_a3, axiom_a1_3, axiom_a3_2, axiom_user_communication_3, axioms_Is_a1_a2, axioms_Is_a2_a1, axioms_Is_a3_a2, axioms_Is_a3_a1, axioms_D_a3, axiom_I_a2_a3, axiom_a3_4, axiom_I_a1_a2, axiom_a1_1, axioms_Is_a1_a1, axiom_a2_3, axiom_user_communication_1, axioms_B_a3, axiom_a2_4, axioms_Is_a1_a3, axioms_Is_a2_a2, axiom_user_communication_5, axiom_a3_1, axioms_B_a2, axioms_Is_a3_a3, axioms_Is_a2_a3, axiom_a2_5, axioms_D_a2, axiom_a2_1
% 11.48/3.82 % No. of inferences in proof: 155
% 11.48/3.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3366 ms resp. 2668 ms w/o parsing
% 11.48/3.92 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.48/3.92 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------