TSTP Solution File: SYN655-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN655-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 : Thu Sep 29 23:56:48 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 65
% Syntax : Number of formulae : 117 ( 31 unt; 22 typ; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 483 ( 223 ~; 219 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 16 ( 16 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 10 >; 50 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 631 ( 567 !; 0 ?; 631 :)
% Comments :
%------------------------------------------------------------------------------
tff(p9_type,type,
p9: ( $i * $i ) > $o ).
tff(c23_type,type,
c23: $i ).
tff(f15_type,type,
f15: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c22_type,type,
c22: $i ).
tff(c27_type,type,
c27: $i ).
tff(c26_type,type,
c26: $i ).
tff(f11_type,type,
f11: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c33_type,type,
c33: $i ).
tff(c32_type,type,
c32: $i ).
tff(c31_type,type,
c31: $i ).
tff(c30_type,type,
c30: $i ).
tff(c29_type,type,
c29: $i ).
tff(c28_type,type,
c28: $i ).
tff(c25_type,type,
c25: $i ).
tff(c24_type,type,
c24: $i ).
tff(p3_type,type,
p3: ( $i * $i ) > $o ).
tff(f14_type,type,
f14: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f16_type,type,
f16: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f17_type,type,
f17: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f18_type,type,
f18: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(f19_type,type,
f19: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(p21_type,type,
p21: ( $i * $i ) > $o ).
tff(1,plain,
^ [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
refl(
( ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
<=> ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
^ [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
rewrite(
( ( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) )
<=> ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43)))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
tff(7,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
<=> p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ),
inference(rewrite,[status(thm)],]) ).
tff(12,axiom,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
tff(13,plain,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) )
<=> ( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))),
inference(unit_resolution,[status(thm)],[16,13,10]) ).
tff(18,plain,
^ [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
refl(
( ( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
<=> ( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
<=> ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
<=> ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
^ [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
rewrite(
( ( p9(X9,X14)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) )
<=> ( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( p9(X9,X14)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) )
<=> ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( p9(X9,X14)
| ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
tff(24,plain,
! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) )
<=> ( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
^ [X78: $i] :
refl(
( p3(X78,X78)
<=> p3(X78,X78) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [X78: $i] : p3(X78,X78)
<=> ! [X78: $i] : p3(X78,X78) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X78: $i] : p3(X78,X78)
<=> ! [X78: $i] : p3(X78,X78) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
! [X78: $i] : p3(X78,X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
tff(36,plain,
! [X78: $i] : p3(X78,X78),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [X78: $i] : p3(X78,X78),
inference(skolemize,[status(sab)],[36]) ).
tff(38,plain,
! [X78: $i] : p3(X78,X78),
inference(modus_ponens,[status(thm)],[37,33]) ).
tff(39,plain,
( ~ ! [X78: $i] : p3(X78,X78)
| p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33)) ),
inference(quant_inst,[status(thm)],]) ).
tff(40,plain,
p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33)),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
( ( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33))
| p9(c23,c23) )
<=> ( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33))
| p9(c23,c23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(42,plain,
( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33))
| p9(c23,c23) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
( ~ ! [X9: $i,X14: $i,X12: $i,X11: $i,X13: $i,X6: $i,X4: $i,X3: $i,X10: $i,X7: $i,X5: $i,X8: $i] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) )
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(c29,c30,c31,c32,c23,c33))
| p9(c23,c23) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
p9(c23,c23),
inference(unit_resolution,[status(thm)],[43,27,40]) ).
tff(45,plain,
^ [X179: $i,X178: $i,X177: $i] :
refl(
( ( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
<=> ( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
<=> ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
<=> ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
^ [X179: $i,X178: $i,X177: $i] :
trans(
monotonicity(
rewrite(
( ( p9(X178,X179)
| ~ p9(X177,X178) )
<=> ( ~ p9(X177,X178)
| p9(X178,X179) ) )),
( ( p9(X178,X179)
| ~ p9(X177,X178)
| ~ p9(X177,X179) )
<=> ( ~ p9(X177,X178)
| p9(X178,X179)
| ~ p9(X177,X179) ) )),
rewrite(
( ( ~ p9(X177,X178)
| p9(X178,X179)
| ~ p9(X177,X179) )
<=> ( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) )),
( ( p9(X178,X179)
| ~ p9(X177,X178)
| ~ p9(X177,X179) )
<=> ( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) )),
inference(bind,[status(th)],]) ).
tff(49,plain,
( ! [X179: $i,X178: $i,X177: $i] :
( p9(X178,X179)
| ~ p9(X177,X178)
| ~ p9(X177,X179) )
<=> ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ) ),
inference(quant_intro,[status(thm)],[48]) ).
tff(50,axiom,
! [X179: $i,X178: $i,X177: $i] :
( p9(X178,X179)
| ~ p9(X177,X178)
| ~ p9(X177,X179) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
tff(51,plain,
! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ),
inference(modus_ponens,[status(thm)],[51,47]) ).
tff(53,plain,
! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ),
inference(skolemize,[status(sab)],[52]) ).
tff(54,plain,
! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ),
inference(modus_ponens,[status(thm)],[53,46]) ).
tff(55,plain,
( ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c23,c23)
| ~ p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) )
<=> ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c23,c23)
| ~ p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(56,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c23,c23)
| ~ p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ),
inference(quant_inst,[status(thm)],]) ).
tff(57,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c23,c23)
| ~ p9(c23,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23),
inference(unit_resolution,[status(thm)],[57,54,44,31]) ).
tff(59,plain,
^ [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
refl(
( ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
<=> ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ) )),
inference(bind,[status(th)],]) ).
tff(60,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(62,plain,
^ [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
rewrite(
( ( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) )
<=> ( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ) )),
inference(bind,[status(th)],]) ).
tff(63,plain,
( ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) )
<=> ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,axiom,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43))
| ~ p21(f11(X38,X39,X36,X42,X43,X40),X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_35) ).
tff(65,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(modus_ponens,[status(thm)],[65,61]) ).
tff(67,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(skolemize,[status(sab)],[66]) ).
tff(68,plain,
! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(modus_ponens,[status(thm)],[67,60]) ).
tff(69,plain,
( ( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) )
<=> ( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
( ~ ! [X43: $i,X39: $i,X42: $i,X38: $i,X37: $i,X41: $i,X36: $i,X40: $i] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) )
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33))
| p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(unit_resolution,[status(thm)],[71,13,68]) ).
tff(73,plain,
^ [X177: $i] :
refl(
( p9(X177,X177)
<=> p9(X177,X177) )),
inference(bind,[status(th)],]) ).
tff(74,plain,
( ! [X177: $i] : p9(X177,X177)
<=> ! [X177: $i] : p9(X177,X177) ),
inference(quant_intro,[status(thm)],[73]) ).
tff(75,plain,
( ! [X177: $i] : p9(X177,X177)
<=> ! [X177: $i] : p9(X177,X177) ),
inference(rewrite,[status(thm)],]) ).
tff(76,axiom,
! [X177: $i] : p9(X177,X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
tff(77,plain,
! [X177: $i] : p9(X177,X177),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
! [X177: $i] : p9(X177,X177),
inference(skolemize,[status(sab)],[77]) ).
tff(79,plain,
! [X177: $i] : p9(X177,X177),
inference(modus_ponens,[status(thm)],[78,74]) ).
tff(80,plain,
( ~ ! [X177: $i] : p9(X177,X177)
| p9(c22,c22) ),
inference(quant_inst,[status(thm)],]) ).
tff(81,plain,
p9(c22,c22),
inference(unit_resolution,[status(thm)],[80,79]) ).
tff(82,plain,
( ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c22,c22)
| ~ p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) )
<=> ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c22,c22)
| ~ p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c22,c22)
| ~ p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) ),
inference(quant_inst,[status(thm)],]) ).
tff(84,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(c22,c22)
| ~ p9(c22,f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22),
inference(unit_resolution,[status(thm)],[84,54,81,72]) ).
tff(86,plain,
( ~ p9(c22,c23)
<=> ~ p9(c22,c23) ),
inference(rewrite,[status(thm)],]) ).
tff(87,axiom,
~ p9(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
tff(88,plain,
~ p9(c22,c23),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) )
<=> ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,plain,
( ( ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| p9(c22,c23) )
<=> ( p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ) ),
inference(rewrite,[status(thm)],]) ).
tff(91,plain,
( ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| p9(c22,c23) )
<=> ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ) ),
inference(monotonicity,[status(thm)],[90]) ).
tff(92,plain,
( ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| p9(c22,c23) )
<=> ( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ) ),
inference(transitivity,[status(thm)],[91,89]) ).
tff(93,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| p9(c22,c23) ),
inference(quant_inst,[status(thm)],]) ).
tff(94,plain,
( ~ ! [X179: $i,X178: $i,X177: $i] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) )
| p9(c22,c23)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(f15(c25,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23) ),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
$false,
inference(unit_resolution,[status(thm)],[94,88,54,85,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN655-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 06:26:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------