TSTP Solution File: NLP208-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NLP208-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Sun Sep 18 08:48:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 59
% Syntax : Number of formulae : 115 ( 24 unt; 13 typ; 0 def)
% Number of atoms : 324 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 411 ( 197 ~; 177 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 8 ( 8 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 9 >; 11 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 234 ( 216 !; 0 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
tff(object_type,type,
object: ( $i * $i ) > $o ).
tff(skc12_type,type,
skc12: $i ).
tff(skc11_type,type,
skc11: $i ).
tff(artifact_type,type,
artifact: ( $i * $i ) > $o ).
tff(instrumentality_type,type,
instrumentality: ( $i * $i ) > $o ).
tff(device_type,type,
device: ( $i * $i ) > $o ).
tff(wheel_type,type,
wheel: ( $i * $i ) > $o ).
tff(unisex_type,type,
unisex: ( $i * $i ) > $o ).
tff(male_type,type,
male: ( $i * $i ) > $o ).
tff(skc15_type,type,
skc15: $i ).
tff(be_type,type,
be: ( $i * $i * $i * $i ) > $o ).
tff(skc13_type,type,
skc13: $i ).
tff(man_type,type,
man: ( $i * $i ) > $o ).
tff(1,plain,
( wheel(skc11,skc12)
<=> wheel(skc11,skc12) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
wheel(skc11,skc12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
tff(3,plain,
wheel(skc11,skc12),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ wheel(U,V)
| device(U,V) )
<=> ( ~ wheel(U,V)
| device(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
<=> ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
<=> ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
tff(8,plain,
! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
| ~ wheel(skc11,skc12)
| device(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
| ~ wheel(skc11,skc12)
| device(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ~ ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
| ~ wheel(skc11,skc12)
| device(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(13,plain,
( ~ ! [V: $i,U: $i] :
( ~ wheel(U,V)
| device(U,V) )
| ~ wheel(skc11,skc12)
| device(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
device(skc11,skc12),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ device(U,V)
| instrumentality(U,V) )
<=> ( ~ device(U,V)
| instrumentality(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(16,plain,
( ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
<=> ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
<=> ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
tff(19,plain,
! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
| ~ device(skc11,skc12)
| instrumentality(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
| ~ device(skc11,skc12)
| instrumentality(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,plain,
( ~ ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
| ~ device(skc11,skc12)
| instrumentality(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
( ~ ! [V: $i,U: $i] :
( ~ device(U,V)
| instrumentality(U,V) )
| ~ device(skc11,skc12)
| instrumentality(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
instrumentality(skc11,skc12),
inference(unit_resolution,[status(thm)],[24,21,14]) ).
tff(26,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ instrumentality(U,V)
| artifact(U,V) )
<=> ( ~ instrumentality(U,V)
| artifact(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(27,plain,
( ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
<=> ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,plain,
( ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
<=> ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,axiom,
! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
tff(30,plain,
! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ),
inference(skolemize,[status(sab)],[30]) ).
tff(32,plain,
! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) ),
inference(modus_ponens,[status(thm)],[31,27]) ).
tff(33,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
| ~ instrumentality(skc11,skc12)
| artifact(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
| ~ instrumentality(skc11,skc12)
| artifact(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(34,plain,
( ~ ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
| ~ instrumentality(skc11,skc12)
| artifact(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
( ~ ! [V: $i,U: $i] :
( ~ instrumentality(U,V)
| artifact(U,V) )
| ~ instrumentality(skc11,skc12)
| artifact(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
artifact(skc11,skc12),
inference(unit_resolution,[status(thm)],[35,32,25]) ).
tff(37,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ artifact(U,V)
| object(U,V) )
<=> ( ~ artifact(U,V)
| object(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(38,plain,
( ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
<=> ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ) ),
inference(quant_intro,[status(thm)],[37]) ).
tff(39,plain,
( ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
<=> ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,axiom,
! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
tff(41,plain,
! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ),
inference(skolemize,[status(sab)],[41]) ).
tff(43,plain,
! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
| ~ artifact(skc11,skc12)
| object(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
| ~ artifact(skc11,skc12)
| object(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(45,plain,
( ~ ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
| ~ artifact(skc11,skc12)
| object(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(46,plain,
( ~ ! [V: $i,U: $i] :
( ~ artifact(U,V)
| object(U,V) )
| ~ artifact(skc11,skc12)
| object(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
object(skc11,skc12),
inference(unit_resolution,[status(thm)],[46,43,36]) ).
tff(48,plain,
( be(skc11,skc13,skc15,skc12)
<=> be(skc11,skc13,skc15,skc12) ),
inference(rewrite,[status(thm)],]) ).
tff(49,axiom,
be(skc11,skc13,skc15,skc12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
tff(50,plain,
be(skc11,skc13,skc15,skc12),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
^ [W: $i,V: $i,U: $i,X: $i] :
refl(
( ( ~ be(U,V,W,X)
| ( W = X ) )
<=> ( ~ be(U,V,W,X)
| ( W = X ) ) )),
inference(bind,[status(th)],]) ).
tff(52,plain,
( ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
<=> ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ) ),
inference(quant_intro,[status(thm)],[51]) ).
tff(53,plain,
( ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
<=> ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(54,axiom,
! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
tff(55,plain,
! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ),
inference(skolemize,[status(sab)],[55]) ).
tff(57,plain,
! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) ),
inference(modus_ponens,[status(thm)],[56,52]) ).
tff(58,plain,
( ( ~ ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
| ~ be(skc11,skc13,skc15,skc12)
| ( skc15 = skc12 ) )
<=> ( ~ ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
| ~ be(skc11,skc13,skc15,skc12)
| ( skc15 = skc12 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
( ~ ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
| ~ be(skc11,skc13,skc15,skc12)
| ( skc15 = skc12 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(60,plain,
( ~ ! [W: $i,V: $i,U: $i,X: $i] :
( ~ be(U,V,W,X)
| ( W = X ) )
| ~ be(skc11,skc13,skc15,skc12)
| ( skc15 = skc12 ) ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
skc15 = skc12,
inference(unit_resolution,[status(thm)],[60,57,50]) ).
tff(62,plain,
skc12 = skc15,
inference(symmetry,[status(thm)],[61]) ).
tff(63,plain,
( male(skc11,skc12)
<=> male(skc11,skc15) ),
inference(monotonicity,[status(thm)],[62]) ).
tff(64,plain,
( male(skc11,skc15)
<=> male(skc11,skc12) ),
inference(symmetry,[status(thm)],[63]) ).
tff(65,plain,
( man(skc11,skc15)
<=> man(skc11,skc15) ),
inference(rewrite,[status(thm)],]) ).
tff(66,axiom,
man(skc11,skc15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
tff(67,plain,
man(skc11,skc15),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ man(U,V)
| male(U,V) )
<=> ( ~ man(U,V)
| male(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(69,plain,
( ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
<=> ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,plain,
( ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
<=> ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,axiom,
! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
tff(72,plain,
! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ),
inference(skolemize,[status(sab)],[72]) ).
tff(74,plain,
! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
| ~ man(skc11,skc15)
| male(skc11,skc15) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
| ~ man(skc11,skc15)
| male(skc11,skc15) ) ),
inference(rewrite,[status(thm)],]) ).
tff(76,plain,
( ~ ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
| ~ man(skc11,skc15)
| male(skc11,skc15) ),
inference(quant_inst,[status(thm)],]) ).
tff(77,plain,
( ~ ! [V: $i,U: $i] :
( ~ man(U,V)
| male(U,V) )
| ~ man(skc11,skc15)
| male(skc11,skc15) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
male(skc11,skc15),
inference(unit_resolution,[status(thm)],[77,74,67]) ).
tff(79,plain,
male(skc11,skc12),
inference(modus_ponens,[status(thm)],[78,64]) ).
tff(80,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ male(U,V)
| ~ unisex(U,V) )
<=> ( ~ male(U,V)
| ~ unisex(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(81,plain,
( ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
<=> ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ) ),
inference(quant_intro,[status(thm)],[80]) ).
tff(82,plain,
( ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
<=> ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(83,axiom,
! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
tff(84,plain,
! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ),
inference(skolemize,[status(sab)],[84]) ).
tff(86,plain,
! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) ),
inference(modus_ponens,[status(thm)],[85,81]) ).
tff(87,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
| ~ male(skc11,skc12)
| ~ unisex(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
| ~ male(skc11,skc12)
| ~ unisex(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
( ~ ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
| ~ male(skc11,skc12)
| ~ unisex(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(89,plain,
( ~ ! [V: $i,U: $i] :
( ~ male(U,V)
| ~ unisex(U,V) )
| ~ male(skc11,skc12)
| ~ unisex(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[88,87]) ).
tff(90,plain,
( ~ male(skc11,skc12)
| ~ unisex(skc11,skc12) ),
inference(unit_resolution,[status(thm)],[89,86]) ).
tff(91,plain,
~ unisex(skc11,skc12),
inference(unit_resolution,[status(thm)],[90,79]) ).
tff(92,plain,
^ [V: $i,U: $i] :
refl(
( ( ~ object(U,V)
| unisex(U,V) )
<=> ( ~ object(U,V)
| unisex(U,V) ) )),
inference(bind,[status(th)],]) ).
tff(93,plain,
( ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
<=> ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ) ),
inference(quant_intro,[status(thm)],[92]) ).
tff(94,plain,
( ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
<=> ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ) ),
inference(rewrite,[status(thm)],]) ).
tff(95,axiom,
! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
tff(96,plain,
! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ),
inference(modus_ponens,[status(thm)],[95,94]) ).
tff(97,plain,
! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ),
inference(skolemize,[status(sab)],[96]) ).
tff(98,plain,
! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) ),
inference(modus_ponens,[status(thm)],[97,93]) ).
tff(99,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
| ~ object(skc11,skc12)
| unisex(skc11,skc12) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
| ~ object(skc11,skc12)
| unisex(skc11,skc12) ) ),
inference(rewrite,[status(thm)],]) ).
tff(100,plain,
( ~ ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
| ~ object(skc11,skc12)
| unisex(skc11,skc12) ),
inference(quant_inst,[status(thm)],]) ).
tff(101,plain,
( ~ ! [V: $i,U: $i] :
( ~ object(U,V)
| unisex(U,V) )
| ~ object(skc11,skc12)
| unisex(skc11,skc12) ),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
$false,
inference(unit_resolution,[status(thm)],[101,98,91,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NLP208-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 05:35:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------