TSTP Solution File: SYN556-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN556-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 23:56:24 EDT 2022
% Result : Unsatisfiable 0.87s 0.86s
% Output : Proof 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 64
% Syntax : Number of formulae : 126 ( 38 unt; 12 typ; 0 def)
% Number of atoms : 632 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 882 ( 412 ~; 408 |; 0 &)
% ( 62 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 48 ( 48 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 399 ( 357 !; 0 ?; 399 :)
% Comments :
%------------------------------------------------------------------------------
tff(p3_type,type,
p3: ( $i * $i ) > $o ).
tff(f4_type,type,
f4: ( $i * $i * $i ) > $i ).
tff(c11_type,type,
c11: $i ).
tff(f5_type,type,
f5: ( $i * $i ) > $i ).
tff(f6_type,type,
f6: $i > $i ).
tff(f7_type,type,
f7: $i > $i ).
tff(c12_type,type,
c12: $i ).
tff(f8_type,type,
f8: ( $i * $i ) > $i ).
tff(c10_type,type,
c10: $i ).
tff(c13_type,type,
c13: $i ).
tff(p2_type,type,
p2: ( $i * $i ) > $o ).
tff(c9_type,type,
c9: $i ).
tff(1,plain,
^ [X15: $i] :
refl(
( p3(X15,X15)
<=> p3(X15,X15) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X15: $i] : p3(X15,X15)
<=> ! [X15: $i] : p3(X15,X15) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X15: $i] : p3(X15,X15)
<=> ! [X15: $i] : p3(X15,X15) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [X15: $i] : p3(X15,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_2) ).
tff(5,plain,
! [X15: $i] : p3(X15,X15),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X15: $i] : p3(X15,X15),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X15: $i] : p3(X15,X15),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X15: $i] : p3(X15,X15)
| p3(c11,c11) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
p3(c11,c11),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [X14: $i,X12: $i,X11: $i,X13: $i] :
refl(
( ( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
<=> ( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
<=> ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
<=> ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
^ [X14: $i,X12: $i,X11: $i,X13: $i] :
trans(
monotonicity(
rewrite(
( ( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14) )
<=> ( ~ p2(X12,X14)
| p2(f8(X11,X12),f8(X13,X14)) ) )),
( ( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) )
<=> ( ~ p2(X12,X14)
| p2(f8(X11,X12),f8(X13,X14))
| ~ p3(X11,X13) ) )),
rewrite(
( ( ~ p2(X12,X14)
| p2(f8(X11,X12),f8(X13,X14))
| ~ p3(X11,X13) )
<=> ( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) )),
( ( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) )
<=> ( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) )
<=> ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [X14: $i,X12: $i,X11: $i,X13: $i] :
( p2(f8(X11,X12),f8(X13,X14))
| ~ p2(X12,X14)
| ~ p3(X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
tff(16,plain,
! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
( p2(c10,c13)
<=> p2(c10,c13) ),
inference(rewrite,[status(thm)],]) ).
tff(21,axiom,
p2(c10,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
tff(22,plain,
p2(c10,c13),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
( ( ~ ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
| ~ p2(c10,c13)
| ~ p3(c11,c11)
| p2(f8(c11,c10),f8(c11,c13)) )
<=> ( ~ ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
| ~ p2(c10,c13)
| ~ p3(c11,c11)
| p2(f8(c11,c10),f8(c11,c13)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ~ ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
| ~ p2(c10,c13)
| ~ p3(c11,c11)
| p2(f8(c11,c10),f8(c11,c13)) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,plain,
( ~ ! [X14: $i,X12: $i,X11: $i,X13: $i] :
( ~ p2(X12,X14)
| ~ p3(X11,X13)
| p2(f8(X11,X12),f8(X13,X14)) )
| ~ p2(c10,c13)
| ~ p3(c11,c11)
| p2(f8(c11,c10),f8(c11,c13)) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
p2(f8(c11,c10),f8(c11,c13)),
inference(unit_resolution,[status(thm)],[25,22,19,9]) ).
tff(27,plain,
^ [X0: $i] :
refl(
( p2(X0,X0)
<=> p2(X0,X0) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [X0: $i] : p2(X0,X0)
<=> ! [X0: $i] : p2(X0,X0) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [X0: $i] : p2(X0,X0)
<=> ! [X0: $i] : p2(X0,X0) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
! [X0: $i] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
tff(31,plain,
! [X0: $i] : p2(X0,X0),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [X0: $i] : p2(X0,X0),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [X0: $i] : p2(X0,X0),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
( ~ ! [X0: $i] : p2(X0,X0)
| p2(f8(c11,c10),f8(c11,c10)) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
p2(f8(c11,c10),f8(c11,c10)),
inference(unit_resolution,[status(thm)],[34,33]) ).
tff(36,plain,
^ [X0: $i,X2: $i,X1: $i] :
refl(
( ( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
<=> ( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) )),
inference(bind,[status(th)],]) ).
tff(37,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
^ [X0: $i,X2: $i,X1: $i] :
trans(
monotonicity(
rewrite(
( ( p2(X1,X2)
| ~ p2(X0,X1) )
<=> ( ~ p2(X0,X1)
| p2(X1,X2) ) )),
( ( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) )
<=> ( ~ p2(X0,X1)
| p2(X1,X2)
| ~ p2(X0,X2) ) )),
rewrite(
( ( ~ p2(X0,X1)
| p2(X1,X2)
| ~ p2(X0,X2) )
<=> ( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) )),
( ( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) )
<=> ( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) )),
inference(bind,[status(th)],]) ).
tff(40,plain,
( ! [X0: $i,X2: $i,X1: $i] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(quant_intro,[status(thm)],[39]) ).
tff(41,axiom,
! [X0: $i,X2: $i,X1: $i] :
( p2(X1,X2)
| ~ p2(X0,X1)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
tff(42,plain,
! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
inference(modus_ponens,[status(thm)],[44,37]) ).
tff(46,plain,
( ( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(f8(c11,c10),f8(c11,c10))
| ~ p2(f8(c11,c10),f8(c11,c13))
| p2(f8(c11,c13),f8(c11,c10)) )
<=> ( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(f8(c11,c10),f8(c11,c10))
| ~ p2(f8(c11,c10),f8(c11,c13))
| p2(f8(c11,c13),f8(c11,c10)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(47,plain,
( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(f8(c11,c10),f8(c11,c10))
| ~ p2(f8(c11,c10),f8(c11,c13))
| p2(f8(c11,c13),f8(c11,c10)) ),
inference(quant_inst,[status(thm)],]) ).
tff(48,plain,
( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(f8(c11,c10),f8(c11,c10))
| ~ p2(f8(c11,c10),f8(c11,c13))
| p2(f8(c11,c13),f8(c11,c10)) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
p2(f8(c11,c13),f8(c11,c10)),
inference(unit_resolution,[status(thm)],[48,45,35,26]) ).
tff(50,plain,
( ~ ! [X0: $i] : p2(X0,X0)
| p2(f6(f7(c12)),f6(f7(c12))) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
p2(f6(f7(c12)),f6(f7(c12))),
inference(unit_resolution,[status(thm)],[50,33]) ).
tff(52,plain,
^ [X6: $i,X4: $i,X3: $i,X5: $i] :
refl(
( ( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
<=> ( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) )),
inference(bind,[status(th)],]) ).
tff(53,plain,
( ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
<=> ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,plain,
( ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
<=> ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(55,plain,
^ [X6: $i,X4: $i,X3: $i,X5: $i] :
trans(
monotonicity(
rewrite(
( ( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5) )
<=> ( ~ p2(X3,X5)
| p2(f5(X3,X4),f5(X5,X6)) ) )),
( ( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) )
<=> ( ~ p2(X3,X5)
| p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X4,X6) ) )),
rewrite(
( ( ~ p2(X3,X5)
| p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X4,X6) )
<=> ( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) )),
( ( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) )
<=> ( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) )
<=> ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,axiom,
! [X6: $i,X4: $i,X3: $i,X5: $i] :
( p2(f5(X3,X4),f5(X5,X6))
| ~ p2(X3,X5)
| ~ p2(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
tff(58,plain,
! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ),
inference(modus_ponens,[status(thm)],[58,54]) ).
tff(60,plain,
! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ),
inference(skolemize,[status(sab)],[59]) ).
tff(61,plain,
! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) ),
inference(modus_ponens,[status(thm)],[60,53]) ).
tff(62,plain,
( ( ~ ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) )
<=> ( ~ ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
( ~ ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
inference(quant_inst,[status(thm)],]) ).
tff(64,plain,
( ~ ! [X6: $i,X4: $i,X3: $i,X5: $i] :
( ~ p2(X3,X5)
| ~ p2(X4,X6)
| p2(f5(X3,X4),f5(X5,X6)) )
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(f6(f7(c12)),f6(f7(c12)))
| p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))),
inference(unit_resolution,[status(thm)],[64,61,51,49]) ).
tff(66,plain,
( ~ ! [X0: $i] : p2(X0,X0)
| p2(c10,c10) ),
inference(quant_inst,[status(thm)],]) ).
tff(67,plain,
p2(c10,c10),
inference(unit_resolution,[status(thm)],[66,33]) ).
tff(68,plain,
( ( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(c10,c10)
| ~ p2(c10,c13)
| p2(c13,c10) )
<=> ( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(c10,c10)
| ~ p2(c10,c13)
| p2(c13,c10) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(c10,c10)
| ~ p2(c10,c13)
| p2(c13,c10) ),
inference(quant_inst,[status(thm)],]) ).
tff(70,plain,
( ~ ! [X0: $i,X2: $i,X1: $i] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) )
| ~ p2(c10,c10)
| ~ p2(c10,c13)
| p2(c13,c10) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
p2(c13,c10),
inference(unit_resolution,[status(thm)],[70,22,45,67]) ).
tff(72,plain,
^ [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
refl(
( ( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
<=> ( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
inference(bind,[status(th)],]) ).
tff(73,plain,
( ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
<=> ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
<=> ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
^ [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22) )
<=> ( ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
( ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23) )
<=> ( ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p3(X20,X23) ) )),
rewrite(
( ( ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p3(X20,X23) )
<=> ( ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
( ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23) )
<=> ( ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
( ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) )
<=> ( ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X18,X21) ) )),
rewrite(
( ( ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X18,X21) )
<=> ( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
( ( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) )
<=> ( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) )),
inference(bind,[status(th)],]) ).
tff(76,plain,
( ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) )
<=> ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) ),
inference(quant_intro,[status(thm)],[75]) ).
tff(77,axiom,
! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( p3(f4(X18,X19,X20),f4(X21,X22,X23))
| ~ p2(X19,X22)
| ~ p3(X20,X23)
| ~ p2(X18,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
tff(78,plain,
! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ),
inference(modus_ponens,[status(thm)],[78,74]) ).
tff(80,plain,
! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ),
inference(skolemize,[status(sab)],[79]) ).
tff(81,plain,
! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ),
inference(modus_ponens,[status(thm)],[80,73]) ).
tff(82,plain,
( ( ~ ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
| ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) )
<=> ( ~ ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
| ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,plain,
( ~ ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
| ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(quant_inst,[status(thm)],]) ).
tff(84,plain,
( ~ ! [X22: $i,X21: $i,X18: $i,X20: $i,X23: $i,X19: $i] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) )
| ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12))))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(unit_resolution,[status(thm)],[84,81,9,71,65]) ).
tff(86,plain,
( ~ ! [X15: $i] : p3(X15,X15)
| p3(c9,c9) ),
inference(quant_inst,[status(thm)],]) ).
tff(87,plain,
p3(c9,c9),
inference(unit_resolution,[status(thm)],[86,7]) ).
tff(88,plain,
( p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))
<=> p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)) ),
inference(rewrite,[status(thm)],]) ).
tff(89,axiom,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
tff(90,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
^ [X17: $i,X16: $i,X15: $i] :
refl(
( ( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
<=> ( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) )),
inference(bind,[status(th)],]) ).
tff(92,plain,
( ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
<=> ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,plain,
( ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
<=> ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) ),
inference(rewrite,[status(thm)],]) ).
tff(94,plain,
^ [X17: $i,X16: $i,X15: $i] :
trans(
monotonicity(
rewrite(
( ( p3(X16,X17)
| ~ p3(X15,X16) )
<=> ( ~ p3(X15,X16)
| p3(X16,X17) ) )),
( ( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) )
<=> ( ~ p3(X15,X16)
| p3(X16,X17)
| ~ p3(X15,X17) ) )),
rewrite(
( ( ~ p3(X15,X16)
| p3(X16,X17)
| ~ p3(X15,X17) )
<=> ( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) )),
( ( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) )
<=> ( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) )),
inference(bind,[status(th)],]) ).
tff(95,plain,
( ! [X17: $i,X16: $i,X15: $i] :
( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) )
<=> ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ) ),
inference(quant_intro,[status(thm)],[94]) ).
tff(96,axiom,
! [X17: $i,X16: $i,X15: $i] :
( p3(X16,X17)
| ~ p3(X15,X16)
| ~ p3(X15,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
tff(97,plain,
! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ),
inference(skolemize,[status(sab)],[98]) ).
tff(100,plain,
! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ),
inference(modus_ponens,[status(thm)],[99,92]) ).
tff(101,plain,
( ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(c9,c9)
| ~ p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9) )
<=> ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(c9,c9)
| ~ p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9) ) ),
inference(rewrite,[status(thm)],]) ).
tff(102,plain,
( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(c9,c9)
| ~ p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9) ),
inference(quant_inst,[status(thm)],]) ).
tff(103,plain,
( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(c9,c9)
| ~ p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11))
| p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9) ),
inference(modus_ponens,[status(thm)],[102,101]) ).
tff(104,plain,
p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9),
inference(unit_resolution,[status(thm)],[103,100,90,87]) ).
tff(105,plain,
( ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
<=> ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(rewrite,[status(thm)],]) ).
tff(106,axiom,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_9) ).
tff(107,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
( ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) )
<=> ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(109,plain,
( ( ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) )
<=> ( p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(110,plain,
( ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) )
<=> ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ) ),
inference(monotonicity,[status(thm)],[109]) ).
tff(111,plain,
( ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) )
<=> ( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ) ),
inference(transitivity,[status(thm)],[110,108]) ).
tff(112,plain,
( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(quant_inst,[status(thm)],]) ).
tff(113,plain,
( ~ ! [X17: $i,X16: $i,X15: $i] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) )
| p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9)
| ~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(modus_ponens,[status(thm)],[112,111]) ).
tff(114,plain,
$false,
inference(unit_resolution,[status(thm)],[113,100,107,104,85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN556-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 05:41:03 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.
% 0.87/0.86 % SZS status Unsatisfiable
% 0.87/0.86 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------