TSTP Solution File: SWC181-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWC181-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 11:55:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 57
% Syntax : Number of formulae : 111 ( 41 unt; 13 typ; 0 def)
% Number of atoms : 802 ( 113 equ)
% Maximal formula atoms : 35 ( 8 avg)
% Number of connectives : 1258 ( 612 ~; 581 |; 0 &)
% ( 65 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 58 ( 58 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 11 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 204 ( 184 !; 0 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
tff(lt_type,type,
lt: ( $i * $i ) > $o ).
tff(skaf74_type,type,
skaf74: $i > $i ).
tff(sk3_type,type,
sk3: $i ).
tff(ssItem_type,type,
ssItem: $i > $o ).
tff(ssList_type,type,
ssList: $i > $o ).
tff(skaf75_type,type,
skaf75: $i > $i ).
tff(skaf77_type,type,
skaf77: $i > $i ).
tff(skaf76_type,type,
skaf76: $i > $i ).
tff(app_type,type,
app: ( $i * $i ) > $i ).
tff(cons_type,type,
cons: ( $i * $i ) > $i ).
tff(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
tff(sk1_type,type,
sk1: $i ).
tff(strictorderedP_type,type,
strictorderedP: $i > $o ).
tff(1,plain,
^ [U: $i] :
refl(
( ssItem(skaf74(U))
<=> ssItem(skaf74(U)) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [U: $i] : ssItem(skaf74(U))
<=> ! [U: $i] : ssItem(skaf74(U)) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [U: $i] : ssItem(skaf74(U))
<=> ! [U: $i] : ssItem(skaf74(U)) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [U: $i] : ssItem(skaf74(U)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause21) ).
tff(5,plain,
! [U: $i] : ssItem(skaf74(U)),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [U: $i] : ssItem(skaf74(U)),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [U: $i] : ssItem(skaf74(U)),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [U: $i] : ssItem(skaf74(U))
| ssItem(skaf74(sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
ssItem(skaf74(sk3)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [U: $i] :
refl(
( ssList(skaf75(U))
<=> ssList(skaf75(U)) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [U: $i] : ssList(skaf75(U))
<=> ! [U: $i] : ssList(skaf75(U)) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [U: $i] : ssList(skaf75(U))
<=> ! [U: $i] : ssList(skaf75(U)) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
! [U: $i] : ssList(skaf75(U)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause20) ).
tff(14,plain,
! [U: $i] : ssList(skaf75(U)),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [U: $i] : ssList(skaf75(U)),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [U: $i] : ssList(skaf75(U)),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [U: $i] : ssList(skaf75(U))
| ssList(skaf75(sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(18,plain,
ssList(skaf75(sk3)),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
^ [U: $i] :
refl(
( ssList(skaf77(U))
<=> ssList(skaf77(U)) )),
inference(bind,[status(th)],]) ).
tff(20,plain,
( ! [U: $i] : ssList(skaf77(U))
<=> ! [U: $i] : ssList(skaf77(U)) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [U: $i] : ssList(skaf77(U))
<=> ! [U: $i] : ssList(skaf77(U)) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
! [U: $i] : ssList(skaf77(U)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause18) ).
tff(23,plain,
! [U: $i] : ssList(skaf77(U)),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
! [U: $i] : ssList(skaf77(U)),
inference(skolemize,[status(sab)],[23]) ).
tff(25,plain,
! [U: $i] : ssList(skaf77(U)),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
( ~ ! [U: $i] : ssList(skaf77(U))
| ssList(skaf77(sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(27,plain,
ssList(skaf77(sk3)),
inference(unit_resolution,[status(thm)],[26,25]) ).
tff(28,plain,
^ [U: $i] :
refl(
( ssList(skaf76(U))
<=> ssList(skaf76(U)) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [U: $i] : ssList(skaf76(U))
<=> ! [U: $i] : ssList(skaf76(U)) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [U: $i] : ssList(skaf76(U))
<=> ! [U: $i] : ssList(skaf76(U)) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
! [U: $i] : ssList(skaf76(U)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause19) ).
tff(32,plain,
! [U: $i] : ssList(skaf76(U)),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
! [U: $i] : ssList(skaf76(U)),
inference(skolemize,[status(sab)],[32]) ).
tff(34,plain,
! [U: $i] : ssList(skaf76(U)),
inference(modus_ponens,[status(thm)],[33,29]) ).
tff(35,plain,
( ~ ! [U: $i] : ssList(skaf76(U))
| ssList(skaf76(sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
ssList(skaf76(sk3)),
inference(unit_resolution,[status(thm)],[35,34]) ).
tff(37,plain,
( ~ duplicatefreeP(sk1)
<=> ~ duplicatefreeP(sk3) ),
inference(rewrite,[status(thm)],]) ).
tff(38,plain,
( ~ duplicatefreeP(sk1)
<=> ~ duplicatefreeP(sk1) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
tff(40,plain,
~ duplicatefreeP(sk1),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
~ duplicatefreeP(sk3),
inference(modus_ponens,[status(thm)],[40,37]) ).
tff(42,plain,
( ssList(sk1)
<=> ssList(sk3) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ssList(sk1)
<=> ssList(sk1) ),
inference(rewrite,[status(thm)],]) ).
tff(44,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
tff(45,plain,
ssList(sk1),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
ssList(sk3),
inference(modus_ponens,[status(thm)],[45,42]) ).
tff(47,plain,
^ [U: $i] :
refl(
( ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) )),
inference(bind,[status(th)],]) ).
tff(48,plain,
( ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) ),
inference(quant_intro,[status(thm)],[47]) ).
tff(49,plain,
( ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
^ [U: $i] :
trans(
monotonicity(
rewrite(
( ( ~ ssList(U)
| duplicatefreeP(U) )
<=> ( ~ ssList(U)
| duplicatefreeP(U) ) )),
( ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) )),
rewrite(
( ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) )),
( ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
<=> ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,axiom,
! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause162) ).
tff(53,plain,
! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ),
inference(modus_ponens,[status(thm)],[53,49]) ).
tff(55,plain,
! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ),
inference(skolemize,[status(sab)],[54]) ).
tff(56,plain,
! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) ),
inference(modus_ponens,[status(thm)],[55,48]) ).
tff(57,plain,
( ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) )
<=> ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,plain,
( ( ~ ssList(sk3)
| duplicatefreeP(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) )
<=> ( duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
( ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| ~ ssList(sk3)
| duplicatefreeP(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) )
<=> ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ) ),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
( ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| ~ ssList(sk3)
| duplicatefreeP(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) )
<=> ( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ) ),
inference(transitivity,[status(thm)],[59,57]) ).
tff(61,plain,
( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| ~ ssList(sk3)
| duplicatefreeP(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(62,plain,
( ~ ! [U: $i] :
( ~ ssList(U)
| duplicatefreeP(U)
| ( app(app(skaf75(U),cons(skaf74(U),skaf76(U))),cons(skaf74(U),skaf77(U))) = U ) )
| duplicatefreeP(sk3)
| ~ ssList(sk3)
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3 ) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) = sk3,
inference(unit_resolution,[status(thm)],[62,56,46,41]) ).
tff(64,plain,
( strictorderedP(sk3)
<=> strictorderedP(sk3) ),
inference(rewrite,[status(thm)],]) ).
tff(65,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
tff(66,plain,
strictorderedP(sk3),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
^ [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
refl(
( ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
inference(bind,[status(th)],]) ).
tff(68,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ),
inference(quant_intro,[status(thm)],[67]) ).
tff(69,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
^ [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y) )
<=> ( ~ ssList(Y)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W) )
<=> ( ~ ssList(Y)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(W) ) )),
rewrite(
( ( ~ ssList(Y)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(W) )
<=> ( ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W) )
<=> ( ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U) )
<=> ( ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(U) ) )),
rewrite(
( ( ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(U) )
<=> ( ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U) )
<=> ( ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X) )
<=> ( ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssItem(X) ) )),
rewrite(
( ( ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssItem(X) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssItem(V) ) )),
rewrite(
( ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssItem(V) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ strictorderedP(Z) ) )),
rewrite(
( ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ strictorderedP(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Z) ) )),
rewrite(
( ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z)
| lt(V,X) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| lt(V,X) ) )),
rewrite(
( ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| lt(V,X) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
( ( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z)
| lt(V,X) )
<=> ( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) )),
inference(bind,[status(th)],]) ).
tff(71,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z)
| lt(V,X) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ),
inference(quant_intro,[status(thm)],[70]) ).
tff(72,axiom,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ( app(app(U,cons(V,W)),cons(X,Y)) != Z )
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z)
| lt(V,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
tff(73,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ),
inference(modus_ponens,[status(thm)],[73,69]) ).
tff(75,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ),
inference(skolemize,[status(sab)],[74]) ).
tff(76,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) ),
inference(modus_ponens,[status(thm)],[75,68]) ).
tff(77,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) ) ),
inference(rewrite,[status(thm)],]) ).
tff(78,plain,
( ( ~ ssItem(skaf74(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf76(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 ) )
<=> ( ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) ) ),
inference(rewrite,[status(thm)],]) ).
tff(79,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf76(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 ) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) ) ),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf76(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 ) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) ) ),
inference(transitivity,[status(thm)],[79,77]) ).
tff(81,plain,
( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf76(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 ) ),
inference(quant_inst,[status(thm)],]) ).
tff(82,plain,
( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(Y)
| ~ ssList(Z)
| ~ ssItem(V)
| lt(V,X)
| ~ strictorderedP(Z)
| ~ ssList(W)
| ( app(app(U,cons(V,W)),cons(X,Y)) != Z ) )
| ~ ssList(sk3)
| ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| ( app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) != sk3 )
| lt(skaf74(sk3),skaf74(sk3))
| ~ strictorderedP(sk3) ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
( ~ ssItem(skaf74(sk3))
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf77(sk3))
| ~ ssList(skaf75(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(unit_resolution,[status(thm)],[82,76,46,66,63]) ).
tff(84,plain,
lt(skaf74(sk3),skaf74(sk3)),
inference(unit_resolution,[status(thm)],[83,36,27,18,9]) ).
tff(85,plain,
^ [U: $i] :
refl(
( ( ~ ssItem(U)
| ~ lt(U,U) )
<=> ( ~ ssItem(U)
| ~ lt(U,U) ) )),
inference(bind,[status(th)],]) ).
tff(86,plain,
( ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
<=> ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ) ),
inference(quant_intro,[status(thm)],[85]) ).
tff(87,plain,
( ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
<=> ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ) ),
inference(rewrite,[status(thm)],]) ).
tff(88,plain,
^ [U: $i] :
rewrite(
( ( ~ lt(U,U)
| ~ ssItem(U) )
<=> ( ~ ssItem(U)
| ~ lt(U,U) ) )),
inference(bind,[status(th)],]) ).
tff(89,plain,
( ! [U: $i] :
( ~ lt(U,U)
| ~ ssItem(U) )
<=> ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ) ),
inference(quant_intro,[status(thm)],[88]) ).
tff(90,axiom,
! [U: $i] :
( ~ lt(U,U)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause63) ).
tff(91,plain,
! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(modus_ponens,[status(thm)],[91,87]) ).
tff(93,plain,
! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(skolemize,[status(sab)],[92]) ).
tff(94,plain,
! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(modus_ponens,[status(thm)],[93,86]) ).
tff(95,plain,
( ( ~ ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
| ~ ssItem(skaf74(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3)) )
<=> ( ~ ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
| ~ ssItem(skaf74(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,plain,
( ~ ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
| ~ ssItem(skaf74(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3)) ),
inference(quant_inst,[status(thm)],]) ).
tff(97,plain,
( ~ ! [U: $i] :
( ~ ssItem(U)
| ~ lt(U,U) )
| ~ ssItem(skaf74(sk3))
| ~ lt(skaf74(sk3),skaf74(sk3)) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
$false,
inference(unit_resolution,[status(thm)],[97,94,9,84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC181-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n013.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 : Sat Sep 3 22:14:17 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.
% 0.19/0.51 % SZS status Unsatisfiable
% 0.19/0.51 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------