TSTP Solution File: SYO105^5 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO105^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 08:59:18 EDT 2024
% Result : Theorem 57.62s 9.09s
% Output : Refutation 57.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 13
% Syntax : Number of formulae : 97 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 330 ( 32 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 1133 ( 163 ~; 157 |; 0 &; 789 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 268 ( 0 ^ 244 !; 24 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
thf(cR_type,type,
cR: $i > $o ).
thf(y_type,type,
y: $i ).
thf(cP_type,type,
cP: $i > $i > $i > $o ).
thf(cQ_type,type,
cQ: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i > $i > $i > $i ).
thf(sk4_type,type,
sk4: $i > $i > $i > $i > $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i > $i ).
thf(sk7_type,type,
sk7: $i > $i > $i ).
thf(sk8_type,type,
sk8: $i > $i > $i > $i ).
thf(1,conjecture,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2201TEST) ).
thf(2,negated_conjecture,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
!= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
!= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) ) )
!= ( ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(6,plain,
( ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) )
| ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ),
inference(bool_ext,[status(thm)],[4]) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( cQ @ ( sk7 @ B @ A ) @ y )
| ( cQ @ sk5 @ y ) ),
inference(cnf,[status(esa)],[6]) ).
thf(5,plain,
( ~ ~ ( ? [A: $i] : ( cQ @ A @ y )
=> ~ ! [A: $i] :
( ! [B: $i] : ( cP @ B @ y @ A )
=> ~ ? [B: $i] : ( cR @ B ) ) )
| ~ ? [A: $i] :
! [B: $i] :
? [C: $i] :
! [D: $i] :
~ ( ( cQ @ A @ y )
=> ~ ( ( cP @ C @ y @ B )
=> ~ ( cR @ D ) ) ) ),
inference(bool_ext,[status(thm)],[4]) ).
thf(8,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
| ~ ( cQ @ A @ y )
| ( cP @ B @ y @ sk1 ) ),
inference(cnf,[status(esa)],[5]) ).
thf(9,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ( cR @ ( sk4 @ D @ C @ B @ A ) )
| ~ ( cQ @ A @ y )
| ( cR @ sk2 ) ),
inference(cnf,[status(esa)],[5]) ).
thf(45,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ( cR @ ( sk4 @ D @ C @ B @ A ) )
| ( cR @ sk2 )
| ( ( cQ @ A @ y )
!= ( cQ @ C @ y ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[9]) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ( cR @ ( sk4 @ C @ A @ B @ A ) )
| ( cR @ sk2 ) ),
inference(pattern_uni,[status(thm)],[45:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A ))]]) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ( cR @ ( sk4 @ C @ A @ B @ A ) )
| ( cR @ sk2 ) ),
inference(simp,[status(thm)],[46]) ).
thf(57,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ ( sk4 @ E @ C @ D @ C ) )
| ( cR @ sk2 )
| ( ( cQ @ ( sk7 @ B @ A ) @ y )
!= ( cQ @ C @ y ) ) ),
inference(paramod_ordered,[status(thm)],[13,54]) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ ( sk4 @ B @ ( sk7 @ C @ D ) @ A @ ( sk7 @ C @ D ) ) )
| ( cR @ sk2 ) ),
inference(pattern_uni,[status(thm)],[57:[bind(A,$thf( G )),bind(B,$thf( F )),bind(C,$thf( sk7 @ F @ G ))]]) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ ( sk4 @ B @ ( sk7 @ C @ D ) @ A @ ( sk7 @ C @ D ) ) )
| ( cR @ sk2 ) ),
inference(simp,[status(thm)],[58]) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
| ~ ( cQ @ A @ y )
| ( cR @ sk2 ) ),
inference(cnf,[status(esa)],[5]) ).
thf(11,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ C @ B @ A ) @ y @ C )
| ~ ( cR @ D )
| ( cQ @ sk5 @ y ) ),
inference(cnf,[status(esa)],[6]) ).
thf(93,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ~ ( cQ @ A @ y )
| ( cR @ sk2 )
| ~ ( cR @ H )
| ( cQ @ sk5 @ y )
| ( ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
!= ( cP @ ( sk8 @ G @ F @ E ) @ y @ G ) ) ),
inference(paramod_ordered,[status(thm)],[7,11]) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ~ ( cQ @ C @ y )
| ( cR @ sk2 )
| ~ ( cR @ A )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[93:[bind(A,$thf( N )),bind(B,$thf( M )),bind(C,$thf( L )),bind(D,$thf( sk8 @ ( sk3 @ L @ M @ N ) @ J @ K )),bind(E,$thf( K )),bind(F,$thf( J )),bind(G,$thf( sk3 @ L @ M @ N )),bind(H,$thf( H ))]]) ).
thf(99,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ~ ( cQ @ C @ y )
| ( cR @ sk2 )
| ~ ( cR @ A )
| ( cQ @ sk5 @ y ) ),
inference(simp,[status(thm)],[94]) ).
thf(320,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ( cR @ sk2 )
| ~ ( cR @ A )
| ( cQ @ sk5 @ y )
| ( ( cQ @ C @ y )
!= ( cQ @ B @ y ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[99]) ).
thf(321,plain,
! [B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ( cR @ sk2 )
| ~ ( cR @ A )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[320:[bind(A,$thf( A )),bind(B,$thf( C ))]]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ( cR @ sk2 )
| ~ ( cR @ A )
| ( cQ @ sk5 @ y ) ),
inference(simp,[status(thm)],[321]) ).
thf(351,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ sk2 )
| ~ ( cR @ C )
| ( ( cQ @ ( sk7 @ B @ A ) @ y )
!= ( cQ @ D @ y ) ) ),
inference(paramod_ordered,[status(thm)],[13,323]) ).
thf(352,plain,
! [A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ sk2 )
| ~ ( cR @ A ) ),
inference(pattern_uni,[status(thm)],[351:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( C )),bind(D,$thf( sk7 @ E @ F ))]]) ).
thf(374,plain,
! [A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ sk2 )
| ~ ( cR @ A ) ),
inference(simp,[status(thm)],[352]) ).
thf(490,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( cR @ sk2 )
| ( ( cR @ ( sk4 @ B @ ( sk7 @ C @ D ) @ A @ ( sk7 @ C @ D ) ) )
!= ( cR @ E ) ) ),
inference(paramod_ordered,[status(thm)],[67,374]) ).
thf(491,plain,
( ( cQ @ sk5 @ y )
| ( cR @ sk2 ) ),
inference(pattern_uni,[status(thm)],[490:[bind(A,$thf( H )),bind(B,$thf( F )),bind(C,$thf( L )),bind(D,$thf( M )),bind(E,$thf( sk4 @ F @ ( sk7 @ L @ M ) @ H @ ( sk7 @ L @ M ) ))]]) ).
thf(518,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( cR @ ( sk4 @ C @ A @ B @ A ) )
| ( ( cQ @ sk5 @ y )
!= ( cQ @ A @ y ) ) ),
inference(paramod_ordered,[status(thm)],[491,54]) ).
thf(519,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ( cR @ ( sk4 @ B @ sk5 @ A @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[518:[bind(A,$thf( sk5 ))]]) ).
thf(527,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ( cR @ ( sk4 @ B @ sk5 @ A @ sk5 ) ) ),
inference(simp,[status(thm)],[519]) ).
thf(520,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
| ~ ( cQ @ A @ y )
| ( ( cQ @ sk5 @ y )
!= ( cQ @ C @ y ) ) ),
inference(paramod_ordered,[status(thm)],[491,7]) ).
thf(521,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ C @ y @ ( sk3 @ sk5 @ B @ A ) )
| ~ ( cQ @ A @ y ) ),
inference(pattern_uni,[status(thm)],[520:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk5 ))]]) ).
thf(528,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ C @ y @ ( sk3 @ sk5 @ B @ A ) )
| ~ ( cQ @ A @ y ) ),
inference(simp,[status(thm)],[521]) ).
thf(1544,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ C @ y @ ( sk3 @ sk5 @ B @ A ) )
| ( ( cQ @ sk5 @ y )
!= ( cQ @ A @ y ) ) ),
inference(paramod_ordered,[status(thm)],[491,528]) ).
thf(1545,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) ) ),
inference(pattern_uni,[status(thm)],[1544:[bind(A,$thf( sk5 ))]]) ).
thf(1570,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) ) ),
inference(simp,[status(thm)],[1545]) ).
thf(12,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ C @ B @ A ) @ y @ C )
| ~ ( cR @ D )
| ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ B ) ),
inference(cnf,[status(esa)],[6]) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ C @ B @ A ) @ y @ C )
| ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ B )
| ( ( cR @ D )
!= ( cR @ B ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[12]) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ B @ C @ A ) @ y @ B )
| ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ C ) ),
inference(pattern_uni,[status(thm)],[24:[bind(A,$thf( A )),bind(B,$thf( D ))]]) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ B @ C @ A ) @ y @ B )
| ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ C ) ),
inference(simp,[status(thm)],[27]) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ C )
| ( ( cP @ ( sk8 @ B @ C @ A ) @ y @ B )
!= ( cP @ ( sk6 @ A ) @ y @ A ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[29]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ~ ( cR @ C )
| ( ( cP @ ( sk8 @ B @ C @ A ) @ y @ B )
!= ( cP @ ( sk6 @ A ) @ y @ A ) ) ),
inference(simp,[status(thm)],[30]) ).
thf(1610,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ~ ( cP @ ( sk6 @ C ) @ y @ C )
| ~ ( cR @ E )
| ( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
!= ( cP @ ( sk8 @ D @ E @ C ) @ y @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1570,31]) ).
thf(1611,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ~ ( cP @ ( sk6 @ B ) @ y @ B )
| ~ ( cR @ A ) ),
inference(pattern_uni,[status(thm)],[1610:[bind(A,$thf( J )),bind(B,$thf( sk8 @ ( sk3 @ sk5 @ J @ sk5 ) @ G @ H )),bind(C,$thf( H )),bind(D,$thf( sk3 @ sk5 @ J @ sk5 )),bind(E,$thf( G ))]]) ).
thf(1619,plain,
! [B: $i,A: $i] :
( ( cR @ sk2 )
| ~ ( cP @ ( sk6 @ B ) @ y @ B )
| ~ ( cR @ A ) ),
inference(simp,[status(thm)],[1611]) ).
thf(1645,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ~ ( cR @ C )
| ( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
!= ( cP @ ( sk6 @ D ) @ y @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1570,1619]) ).
thf(1646,plain,
! [A: $i] :
( ( cR @ sk2 )
| ~ ( cR @ A ) ),
inference(pattern_uni,[status(thm)],[1645:[bind(A,$thf( G )),bind(B,$thf( sk6 @ ( sk3 @ sk5 @ G @ sk5 ) )),bind(C,$thf( C )),bind(D,$thf( sk3 @ sk5 @ G @ sk5 ))]]) ).
thf(1660,plain,
! [A: $i] :
( ( cR @ sk2 )
| ~ ( cR @ A ) ),
inference(simp,[status(thm)],[1646]) ).
thf(1673,plain,
! [C: $i,B: $i,A: $i] :
( ( cR @ sk2 )
| ( ( cR @ ( sk4 @ B @ sk5 @ A @ sk5 ) )
!= ( cR @ C ) ) ),
inference(paramod_ordered,[status(thm)],[527,1660]) ).
thf(1674,plain,
cR @ sk2,
inference(pattern_uni,[status(thm)],[1673:[bind(A,$thf( F )),bind(B,$thf( D )),bind(C,$thf( sk4 @ D @ sk5 @ F @ sk5 ))]]) ).
thf(1724,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ C @ B @ A ) @ y @ C )
| ( cQ @ sk5 @ y )
| ( ( cR @ sk2 )
!= ( cR @ D ) ) ),
inference(paramod_ordered,[status(thm)],[1674,11]) ).
thf(1725,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ C @ B @ A ) @ y @ C )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[1724:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk2 ))]]) ).
thf(1785,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ~ ( cQ @ A @ y )
| ( cP @ B @ y @ sk1 )
| ( cQ @ sk5 @ y )
| ( ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
!= ( cP @ ( sk8 @ G @ F @ E ) @ y @ G ) ) ),
inference(paramod_ordered,[status(thm)],[8,1725]) ).
thf(1786,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ~ ( cQ @ C @ y )
| ( cP @ B @ y @ sk1 )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[1785:[bind(A,$thf( M )),bind(B,$thf( L )),bind(C,$thf( K )),bind(D,$thf( sk8 @ ( sk3 @ K @ L @ M ) @ I @ J )),bind(E,$thf( J )),bind(F,$thf( I )),bind(G,$thf( sk3 @ K @ L @ M ))]]) ).
thf(1790,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ~ ( cQ @ C @ y )
| ( cP @ B @ y @ sk1 )
| ( cQ @ sk5 @ y ) ),
inference(simp,[status(thm)],[1786]) ).
thf(2133,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ~ ( cQ @ C @ y )
| ( cQ @ sk5 @ y )
| ( ( cP @ B @ y @ sk1 )
!= ( cP @ ( sk8 @ F @ E @ D ) @ y @ F ) ) ),
inference(paramod_ordered,[status(thm)],[1790,1725]) ).
thf(2134,plain,
! [B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ~ ( cQ @ B @ y )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[2133:[bind(A,$thf( A )),bind(B,$thf( sk8 @ sk1 @ H @ I )),bind(C,$thf( C )),bind(D,$thf( I )),bind(E,$thf( H )),bind(F,$thf( sk1 ))]]) ).
thf(2204,plain,
! [B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ~ ( cQ @ B @ y )
| ( cQ @ sk5 @ y ) ),
inference(simp,[status(thm)],[2134]) ).
thf(2249,plain,
! [B: $i,A: $i] :
( ~ ( cQ @ A @ y )
| ( cQ @ sk5 @ y )
| ( ( cQ @ B @ y )
!= ( cQ @ A @ y ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[2204]) ).
thf(2250,plain,
! [A: $i] :
( ~ ( cQ @ A @ y )
| ( cQ @ sk5 @ y ) ),
inference(pattern_uni,[status(thm)],[2249:[bind(A,$thf( B ))]]) ).
thf(2257,plain,
! [A: $i] :
( ~ ( cQ @ A @ y )
| ( cQ @ sk5 @ y ) ),
inference(simp,[status(thm)],[2250]) ).
thf(2267,plain,
! [C: $i,B: $i,A: $i] :
( ( cQ @ sk5 @ y )
| ( ( cQ @ ( sk7 @ B @ A ) @ y )
!= ( cQ @ C @ y ) ) ),
inference(paramod_ordered,[status(thm)],[13,2257]) ).
thf(2268,plain,
cQ @ sk5 @ y,
inference(pattern_uni,[status(thm)],[2267:[bind(A,$thf( E )),bind(B,$thf( D )),bind(C,$thf( sk7 @ D @ E ))]]) ).
thf(2287,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( cQ @ C @ y )
| ( cP @ D @ y @ ( sk3 @ C @ B @ A ) )
| ( cP @ B @ y @ sk1 )
| ( ( cQ @ sk5 @ y )
!= ( cQ @ A @ y ) ) ),
inference(paramod_ordered,[status(thm)],[2268,8]) ).
thf(2288,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ( cP @ C @ y @ ( sk3 @ B @ A @ sk5 ) )
| ( cP @ A @ y @ sk1 ) ),
inference(pattern_uni,[status(thm)],[2287:[bind(A,$thf( sk5 ))]]) ).
thf(2289,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cQ @ B @ y )
| ( cP @ C @ y @ ( sk3 @ B @ A @ sk5 ) )
| ( cP @ A @ y @ sk1 ) ),
inference(simp,[status(thm)],[2288]) ).
thf(6853,plain,
! [C: $i,B: $i,A: $i] :
( ( cP @ C @ y @ ( sk3 @ B @ A @ sk5 ) )
| ( cP @ A @ y @ sk1 )
| ( ( cQ @ sk5 @ y )
!= ( cQ @ B @ y ) ) ),
inference(paramod_ordered,[status(thm)],[2268,2289]) ).
thf(6854,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
| ( cP @ A @ y @ sk1 ) ),
inference(pattern_uni,[status(thm)],[6853:[bind(A,$thf( A )),bind(B,$thf( sk5 ))]]) ).
thf(7050,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
| ( cP @ A @ y @ sk1 ) ),
inference(simp,[status(thm)],[6854]) ).
thf(1718,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ B @ C @ A ) @ y @ B )
| ~ ( cP @ ( sk6 @ A ) @ y @ A )
| ( ( cR @ sk2 )
!= ( cR @ C ) ) ),
inference(paramod_ordered,[status(thm)],[1674,29]) ).
thf(1719,plain,
! [B: $i,A: $i] :
( ~ ( cP @ ( sk8 @ B @ sk2 @ A ) @ y @ B )
| ~ ( cP @ ( sk6 @ A ) @ y @ A ) ),
inference(pattern_uni,[status(thm)],[1718:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk2 ))]]) ).
thf(7191,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cP @ A @ y @ sk1 )
| ~ ( cP @ ( sk6 @ C ) @ y @ C )
| ( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
!= ( cP @ ( sk8 @ D @ sk2 @ C ) @ y @ D ) ) ),
inference(paramod_ordered,[status(thm)],[7050,1719]) ).
thf(7192,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ sk1 )
| ~ ( cP @ ( sk6 @ A ) @ y @ A ) ),
inference(pattern_uni,[status(thm)],[7191:[bind(A,$thf( I )),bind(B,$thf( sk8 @ ( sk3 @ sk5 @ I @ sk5 ) @ sk2 @ G )),bind(C,$thf( G )),bind(D,$thf( sk3 @ sk5 @ I @ sk5 ))]]) ).
thf(7314,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ sk1 )
| ~ ( cP @ ( sk6 @ A ) @ y @ A ) ),
inference(simp,[status(thm)],[7192]) ).
thf(8080,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( cP @ A @ y @ sk1 )
| ( cP @ D @ y @ sk1 )
| ( ( cP @ B @ y @ ( sk3 @ sk5 @ A @ sk5 ) )
!= ( cP @ ( sk6 @ C ) @ y @ C ) ) ),
inference(paramod_ordered,[status(thm)],[7050,7314]) ).
thf(8081,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ sk1 )
| ( cP @ A @ y @ sk1 ) ),
inference(pattern_uni,[status(thm)],[8080:[bind(A,$thf( G )),bind(B,$thf( sk6 @ ( sk3 @ sk5 @ G @ sk5 ) )),bind(C,$thf( sk3 @ sk5 @ G @ sk5 )),bind(D,$thf( D ))]]) ).
thf(8096,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ sk1 )
| ( cP @ A @ y @ sk1 ) ),
inference(simp,[status(thm)],[8081]) ).
thf(8380,plain,
! [B: $i,A: $i] :
( ( cP @ B @ y @ sk1 )
| ( ( cP @ A @ y @ sk1 )
!= ( cP @ B @ y @ sk1 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[8096]) ).
thf(8381,plain,
! [A: $i] : ( cP @ A @ y @ sk1 ),
inference(pattern_uni,[status(thm)],[8380:[bind(A,$thf( A )),bind(B,$thf( A ))]]) ).
thf(8553,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( cP @ ( sk6 @ B ) @ y @ B )
| ( ( cP @ A @ y @ sk1 )
!= ( cP @ ( sk8 @ C @ sk2 @ B ) @ y @ C ) ) ),
inference(paramod_ordered,[status(thm)],[8381,1719]) ).
thf(8554,plain,
! [A: $i] :
~ ( cP @ ( sk6 @ A ) @ y @ A ),
inference(pattern_uni,[status(thm)],[8553:[bind(A,$thf( sk8 @ sk1 @ sk2 @ F )),bind(B,$thf( F )),bind(C,$thf( sk1 ))]]) ).
thf(8647,plain,
! [A: $i] :
~ ( cP @ ( sk6 @ A ) @ y @ A ),
inference(simp,[status(thm)],[8554]) ).
thf(8747,plain,
! [B: $i,A: $i] :
( ( cP @ A @ y @ sk1 )
!= ( cP @ ( sk6 @ B ) @ y @ B ) ),
inference(paramod_ordered,[status(thm)],[8381,8647]) ).
thf(8748,plain,
$false,
inference(pattern_uni,[status(thm)],[8747:[bind(A,$thf( sk6 @ sk1 )),bind(B,$thf( sk1 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO105^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n012.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 20 08:39:09 EDT 2024
% 0.17/0.38 % CPUTime :
% 1.01/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.10/1.00 % [INFO] Parsing done (110ms).
% 1.10/1.01 % [INFO] Running in sequential loop mode.
% 1.72/1.24 % [INFO] nitpick registered as external prover.
% 1.72/1.24 % [INFO] Scanning for conjecture ...
% 1.92/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.92/1.33 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.92/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 1.92/1.33 % [INFO] Type checking passed.
% 1.92/1.34 % [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 ...
% 57.62/9.09 % [INFO] Killing All external provers ...
% 57.62/9.09 % Time passed: 8545ms (effective reasoning time: 8072ms)
% 57.62/9.09 % 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)>
% 57.62/9.09 % Axioms used in derivation (0):
% 57.62/9.09 % No. of inferences in proof: 85
% 57.62/9.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8545 ms resp. 8072 ms w/o parsing
% 57.62/9.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 57.62/9.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------