TSTP Solution File: SWW409-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW409-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 20:58:32 EDT 2022
% Result : Unsatisfiable 0.13s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 75 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 175 ( 55 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 172 ( 68 ~; 82 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 158 ( 141 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
tff(heap_type,type,
heap: $i > $o ).
tff(sep_type,type,
sep: ( $i * $i ) > $i ).
tff(emp_type,type,
emp: $i ).
tff(lseg_type,type,
lseg: ( $i * $i ) > $i ).
tff(nil_type,type,
nil: $i ).
tff(x1_type,type,
x1: $i ).
tff(x2_type,type,
x2: $i ).
tff(x3_type,type,
x3: $i ).
tff(next_type,type,
next: ( $i * $i ) > $i ).
tff(1,plain,
^ [Sigma: $i,S: $i,T: $i] :
refl(
( ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
<=> ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
<=> ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
<=> ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
tff(5,plain,
! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
| ( sep(lseg(x1,nil),sep(lseg(x2,x1),emp)) = sep(lseg(x2,x1),sep(lseg(x1,nil),emp)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
sep(lseg(x1,nil),sep(lseg(x2,x1),emp)) = sep(lseg(x2,x1),sep(lseg(x1,nil),emp)),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
sep(lseg(x2,x1),sep(lseg(x1,nil),emp)) = sep(lseg(x1,nil),sep(lseg(x2,x1),emp)),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
( heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp)))
<=> heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
<=> heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ),
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ~ ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
| ( sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(14,plain,
sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))),
inference(unit_resolution,[status(thm)],[13,7]) ).
tff(15,plain,
sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) = sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))),
inference(symmetry,[status(thm)],[14]) ).
tff(16,plain,
( ~ ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
| ( sep(lseg(x2,x1),sep(next(x1,x3),emp)) = sep(next(x1,x3),sep(lseg(x2,x1),emp)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(17,plain,
sep(lseg(x2,x1),sep(next(x1,x3),emp)) = sep(next(x1,x3),sep(lseg(x2,x1),emp)),
inference(unit_resolution,[status(thm)],[16,7]) ).
tff(18,plain,
sep(next(x1,x3),sep(lseg(x2,x1),emp)) = sep(lseg(x2,x1),sep(next(x1,x3),emp)),
inference(symmetry,[status(thm)],[17]) ).
tff(19,plain,
sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( ~ ! [Sigma: $i,S: $i,T: $i] : ( sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)) )
| ( sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) = sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) = sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))),
inference(unit_resolution,[status(thm)],[20,7]) ).
tff(22,plain,
sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))),
inference(symmetry,[status(thm)],[21]) ).
tff(23,plain,
sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) = sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))),
inference(transitivity,[status(thm)],[22,19,15]) ).
tff(24,plain,
( heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
<=> heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))) ),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
( heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))))
<=> heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
inference(symmetry,[status(thm)],[24]) ).
tff(26,plain,
( heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp))))
<=> heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))) ),
inference(rewrite,[status(thm)],]) ).
tff(27,axiom,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
tff(28,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))),
inference(modus_ponens,[status(thm)],[28,25]) ).
tff(30,plain,
( ( x1 != x3 )
<=> ( x1 != x3 ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
x1 != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
tff(32,plain,
x1 != x3,
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
^ [Sigma: $i,Z: $i,Y: $i,X: $i] :
refl(
( ( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
<=> ( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) )),
inference(bind,[status(th)],]) ).
tff(34,plain,
( ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
<=> ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) ),
inference(quant_intro,[status(thm)],[33]) ).
tff(35,plain,
( ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
<=> ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,plain,
^ [Sigma: $i,Z: $i,Y: $i,X: $i] :
rewrite(
( ( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
| ( X = Y )
| heap(sep(lseg(X,Z),Sigma)) )
<=> ( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) )),
inference(bind,[status(th)],]) ).
tff(37,plain,
( ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
| ( X = Y )
| heap(sep(lseg(X,Z),Sigma)) )
<=> ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ) ),
inference(quant_intro,[status(thm)],[36]) ).
tff(38,axiom,
! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma)))
| ( X = Y )
| heap(sep(lseg(X,Z),Sigma)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
tff(39,plain,
! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(modus_ponens,[status(thm)],[39,35]) ).
tff(41,plain,
! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(skolemize,[status(sab)],[40]) ).
tff(42,plain,
! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) ),
inference(modus_ponens,[status(thm)],[41,34]) ).
tff(43,plain,
( ( ~ ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
| ( x1 = x3 )
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) )
<=> ( ~ ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
| ( x1 = x3 )
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( ~ ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
| ( x1 = x3 )
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
inference(quant_inst,[status(thm)],]) ).
tff(45,plain,
( ~ ! [Sigma: $i,Z: $i,Y: $i,X: $i] :
( ( X = Y )
| heap(sep(lseg(X,Z),Sigma))
| ~ heap(sep(next(X,Y),sep(lseg(Y,Z),Sigma))) )
| ( x1 = x3 )
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
inference(unit_resolution,[status(thm)],[45,42,32]) ).
tff(47,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))),
inference(unit_resolution,[status(thm)],[46,29]) ).
tff(48,plain,
heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
inference(modus_ponens,[status(thm)],[47,12]) ).
tff(49,plain,
( ~ heap(sep(lseg(x2,nil),emp))
<=> ~ heap(sep(lseg(x2,nil),emp)) ),
inference(rewrite,[status(thm)],]) ).
tff(50,axiom,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
tff(51,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
^ [Sigma: $i,Y: $i,X: $i] :
refl(
( ( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
<=> ( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ) )),
inference(bind,[status(th)],]) ).
tff(53,plain,
( ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
<=> ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ) ),
inference(quant_intro,[status(thm)],[52]) ).
tff(54,plain,
( ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
<=> ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(55,plain,
^ [Sigma: $i,Y: $i,X: $i] :
rewrite(
( ( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) )
<=> ( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [Sigma: $i,Y: $i,X: $i] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) )
<=> ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,axiom,
! [Sigma: $i,Y: $i,X: $i] :
( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma)))
| heap(sep(lseg(X,nil),Sigma)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
tff(58,plain,
! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(modus_ponens,[status(thm)],[58,54]) ).
tff(60,plain,
! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(skolemize,[status(sab)],[59]) ).
tff(61,plain,
! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) ),
inference(modus_ponens,[status(thm)],[60,53]) ).
tff(62,plain,
( ( ~ ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
| heap(sep(lseg(x2,nil),emp))
| ~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) )
<=> ( ~ ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
| heap(sep(lseg(x2,nil),emp))
| ~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
( ~ ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
| heap(sep(lseg(x2,nil),emp))
| ~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ),
inference(quant_inst,[status(thm)],]) ).
tff(64,plain,
( ~ ! [Sigma: $i,Y: $i,X: $i] :
( heap(sep(lseg(X,nil),Sigma))
| ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Sigma))) )
| heap(sep(lseg(x2,nil),emp))
| ~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
inference(unit_resolution,[status(thm)],[64,61,51]) ).
tff(66,plain,
$false,
inference(unit_resolution,[status(thm)],[65,48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW409-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 16:43:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.40 % SZS status Unsatisfiable
% 0.13/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------