TSTP Solution File: HWC002-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWC002-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Fri Sep 16 22:40:36 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of formulae : 84 ( 51 unt; 10 typ; 0 def)
% Number of atoms : 99 ( 72 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 14 ~; 4 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 104 ( 96 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
tff(circuit_type,type,
circuit: ( $i * $i * $i ) > $o ).
tff(bottom_type,type,
bottom: $i > $i ).
tff(connect_type,type,
connect: ( $i * $i ) > $i ).
tff(table_type,type,
table: ( $i * $i * $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(not_type,type,
not: $i > $i ).
tff(top_type,type,
top: $i > $i ).
tff(and_type,type,
and: ( $i * $i ) > $i ).
tff(n0_type,type,
n0: $i ).
tff(nil_type,type,
nil: $i ).
tff(1,plain,
( ( and(n1,n1) = n1 )
<=> ( and(n1,n1) = n1 ) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
and(n1,n1) = n1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition4) ).
tff(3,plain,
and(n1,n1) = n1,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
n1 = and(n1,n1),
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( and(n1,n0) = n0 )
<=> ( and(n1,not(n1)) = not(n1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,plain,
( ( and(n1,n0) = n0 )
<=> ( and(n1,n0) = n0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
and(n1,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition3) ).
tff(8,plain,
and(n1,n0) = n0,
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
and(n1,not(n1)) = not(n1),
inference(modus_ponens,[status(thm)],[8,5]) ).
tff(10,plain,
not(n1) = and(n1,not(n1)),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
table(not(n1),not(n1),n1,n1) = table(and(n1,not(n1)),and(n1,not(n1)),and(n1,n1),and(n1,n1)),
inference(monotonicity,[status(thm)],[10,10,4,4]) ).
tff(12,plain,
table(and(n1,not(n1)),and(n1,not(n1)),and(n1,n1),and(n1,n1)) = table(not(n1),not(n1),n1,n1),
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
^ [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] :
refl(
( ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
<=> ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
<=> ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
( ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
<=> ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_table_definition) ).
tff(17,plain,
! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ),
inference(modus_ponens,[status(thm)],[18,14]) ).
tff(20,plain,
( ~ ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
| ( and(table(n1,n1,n1,n1),table(not(n1),not(n1),n1,n1)) = table(and(n1,not(n1)),and(n1,not(n1)),and(n1,n1),and(n1,n1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
and(table(n1,n1,n1,n1),table(not(n1),not(n1),n1,n1)) = table(and(n1,not(n1)),and(n1,not(n1)),and(n1,n1),and(n1,n1)),
inference(unit_resolution,[status(thm)],[20,19]) ).
tff(22,plain,
( ( table(n1,n1,n1,n1) = nil )
<=> ( table(n1,n1,n1,n1) = table(not(n1),not(n1),not(n1),not(n1)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,plain,
( ( table(n1,n1,n1,n1) = nil )
<=> ( table(n1,n1,n1,n1) = nil ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,axiom,
table(n1,n1,n1,n1) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full_table) ).
tff(25,plain,
table(n1,n1,n1,n1) = nil,
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
table(n1,n1,n1,n1) = table(not(n1),not(n1),not(n1),not(n1)),
inference(modus_ponens,[status(thm)],[25,22]) ).
tff(27,plain,
and(table(n1,n1,n1,n1),table(not(n1),not(n1),n1,n1)) = and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),not(n1),n1,n1)),
inference(monotonicity,[status(thm)],[26]) ).
tff(28,plain,
and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),not(n1),n1,n1)) = and(table(n1,n1,n1,n1),table(not(n1),not(n1),n1,n1)),
inference(symmetry,[status(thm)],[27]) ).
tff(29,plain,
( ~ ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
| ( and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),not(n1),n1,n1)) = table(and(not(n1),not(n1)),and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),n1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),not(n1),n1,n1)) = table(and(not(n1),not(n1)),and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),n1)),
inference(unit_resolution,[status(thm)],[29,19]) ).
tff(31,plain,
table(and(not(n1),not(n1)),and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),n1)) = and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),not(n1),n1,n1)),
inference(symmetry,[status(thm)],[30]) ).
tff(32,plain,
( ( and(n0,n1) = n0 )
<=> ( and(not(n1),n1) = not(n1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
( ( and(n0,n1) = n0 )
<=> ( and(n0,n1) = n0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(34,axiom,
and(n0,n1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition2) ).
tff(35,plain,
and(n0,n1) = n0,
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
and(not(n1),n1) = not(n1),
inference(modus_ponens,[status(thm)],[35,32]) ).
tff(37,plain,
( ( and(n0,n0) = n0 )
<=> ( and(not(n1),not(n1)) = not(n1) ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
( ( and(n0,n0) = n0 )
<=> ( and(n0,n0) = n0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
and(n0,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC001-0.ax',and_definition1) ).
tff(40,plain,
and(n0,n0) = n0,
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
and(not(n1),not(n1)) = not(n1),
inference(modus_ponens,[status(thm)],[40,37]) ).
tff(42,plain,
table(and(not(n1),not(n1)),and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),n1)) = table(not(n1),not(n1),not(n1),not(n1)),
inference(monotonicity,[status(thm)],[41,41,36,36]) ).
tff(43,plain,
table(not(n1),not(n1),not(n1),not(n1)) = table(and(not(n1),not(n1)),and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),n1)),
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
table(and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),not(n1)),and(not(n1),n1)) = table(not(n1),not(n1),not(n1),not(n1)),
inference(monotonicity,[status(thm)],[41,36,41,36]) ).
tff(45,plain,
( ~ ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
| ( and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),n1,not(n1),n1)) = table(and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),not(n1)),and(not(n1),n1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(46,plain,
and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),n1,not(n1),n1)) = table(and(not(n1),not(n1)),and(not(n1),n1),and(not(n1),not(n1)),and(not(n1),n1)),
inference(unit_resolution,[status(thm)],[45,19]) ).
tff(47,plain,
and(table(n1,n1,n1,n1),table(not(n1),n1,not(n1),n1)) = and(table(not(n1),not(n1),not(n1),not(n1)),table(not(n1),n1,not(n1),n1)),
inference(monotonicity,[status(thm)],[26]) ).
tff(48,plain,
( ~ ! [Y4: $i,Y2: $i,Y1: $i,Y3: $i,X4: $i,X3: $i,X2: $i,X1: $i] : ( and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) )
| ( and(table(n1,n1,n1,n1),table(not(n1),n1,not(n1),n1)) = table(and(n1,not(n1)),and(n1,n1),and(n1,not(n1)),and(n1,n1)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(49,plain,
and(table(n1,n1,n1,n1),table(not(n1),n1,not(n1),n1)) = table(and(n1,not(n1)),and(n1,n1),and(n1,not(n1)),and(n1,n1)),
inference(unit_resolution,[status(thm)],[48,19]) ).
tff(50,plain,
table(and(n1,not(n1)),and(n1,n1),and(n1,not(n1)),and(n1,n1)) = and(table(n1,n1,n1,n1),table(not(n1),n1,not(n1),n1)),
inference(symmetry,[status(thm)],[49]) ).
tff(51,plain,
table(not(n1),n1,not(n1),n1) = table(and(n1,not(n1)),and(n1,n1),and(n1,not(n1)),and(n1,n1)),
inference(monotonicity,[status(thm)],[10,4,10,4]) ).
tff(52,plain,
table(not(n1),n1,not(n1),n1) = table(not(n1),not(n1),n1,n1),
inference(transitivity,[status(thm)],[51,50,47,46,44,43,31,28,21,12]) ).
tff(53,plain,
connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1)) = connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1)),
inference(monotonicity,[status(thm)],[52]) ).
tff(54,plain,
bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))) = bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))) = bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),
inference(symmetry,[status(thm)],[54]) ).
tff(56,plain,
top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))) = top(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),
inference(monotonicity,[status(thm)],[53]) ).
tff(57,plain,
( circuit(top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))))
<=> circuit(top(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1)))) ),
inference(monotonicity,[status(thm)],[56,55]) ).
tff(58,plain,
( circuit(top(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))))
<=> circuit(top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1)))) ),
inference(symmetry,[status(thm)],[57]) ).
tff(59,plain,
( circuit(top(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1)))))
<=> circuit(top(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1)))) ),
inference(rewrite,[status(thm)],]) ).
tff(60,plain,
( circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil)))
<=> circuit(top(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1))))) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil)))
<=> circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))) ),
inference(rewrite,[status(thm)],]) ).
tff(62,axiom,
circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input_configuration) ).
tff(63,plain,
circuit(top(connect(table(n0,n0,n1,n1),nil)),nil,bottom(connect(table(n0,n1,n0,n1),nil))),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
circuit(top(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1))))),
inference(modus_ponens,[status(thm)],[63,60]) ).
tff(65,plain,
circuit(top(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1)))),
inference(modus_ponens,[status(thm)],[64,59]) ).
tff(66,plain,
circuit(top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1)))),
inference(modus_ponens,[status(thm)],[65,58]) ).
tff(67,plain,
( ~ circuit(top(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1)))))
<=> ~ circuit(top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1)))) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil)))
<=> ~ circuit(top(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1))))) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
( ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil)))
<=> ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))) ),
inference(rewrite,[status(thm)],]) ).
tff(70,axiom,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_output_configuration) ).
tff(71,plain,
~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
~ circuit(top(connect(table(not(n1),n1,not(n1),n1),table(not(n1),not(n1),not(n1),not(n1)))),table(not(n1),not(n1),not(n1),not(n1)),bottom(connect(table(not(n1),not(n1),n1,n1),table(not(n1),not(n1),not(n1),not(n1))))),
inference(modus_ponens,[status(thm)],[71,68]) ).
tff(73,plain,
~ circuit(top(connect(table(not(n1),n1,not(n1),n1),table(n1,n1,n1,n1))),table(n1,n1,n1,n1),bottom(connect(table(not(n1),not(n1),n1,n1),table(n1,n1,n1,n1)))),
inference(modus_ponens,[status(thm)],[72,67]) ).
tff(74,plain,
$false,
inference(unit_resolution,[status(thm)],[73,66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HWC002-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 21:53:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.21/0.44 % SZS status Unsatisfiable
% 0.21/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------