TSTP Solution File: RNG041-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 03:17:52 EDT 2022
% Result : Unsatisfiable 0.84s 0.78s
% Output : Proof 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 78 ( 27 unt; 6 typ; 0 def)
% Number of atoms : 321 ( 54 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 424 ( 189 ~; 202 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 231 ( 207 !; 0 ?; 231 :)
% Comments :
%------------------------------------------------------------------------------
tff(product_type,type,
product: ( $i * $i * $i ) > $o ).
tff(additive_identity_type,type,
additive_identity: $i ).
tff(h_type,type,
h: $i > $i ).
tff(a_type,type,
a: $i ).
tff(b_type,type,
b: $i ).
tff(multiplicative_identity_type,type,
multiplicative_identity: $i ).
tff(1,plain,
^ [A: $i] :
refl(
( product(A,additive_identity,additive_identity)
<=> product(A,additive_identity,additive_identity) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [A: $i] : product(A,additive_identity,additive_identity)
<=> ! [A: $i] : product(A,additive_identity,additive_identity) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [A: $i] : product(A,additive_identity,additive_identity)
<=> ! [A: $i] : product(A,additive_identity,additive_identity) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [A: $i] : product(A,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
tff(5,plain,
! [A: $i] : product(A,additive_identity,additive_identity),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [A: $i] : product(A,additive_identity,additive_identity),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [A: $i] : product(A,additive_identity,additive_identity),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [A: $i] : product(A,additive_identity,additive_identity)
| product(h(a),additive_identity,additive_identity) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
product(h(a),additive_identity,additive_identity),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( ( a != additive_identity )
<=> ( a != additive_identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
a != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_additive_identity) ).
tff(12,plain,
a != additive_identity,
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
^ [A: $i] :
refl(
( ( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
<=> ( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
<=> ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
( ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
<=> ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,plain,
^ [A: $i] :
rewrite(
( ( product(h(A),A,multiplicative_identity)
| ( A = additive_identity ) )
<=> ( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ) )),
inference(bind,[status(th)],]) ).
tff(17,plain,
( ! [A: $i] :
( product(h(A),A,multiplicative_identity)
| ( A = additive_identity ) )
<=> ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ) ),
inference(quant_intro,[status(thm)],[16]) ).
tff(18,axiom,
! [A: $i] :
( product(h(A),A,multiplicative_identity)
| ( A = additive_identity ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
tff(19,plain,
! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ),
inference(modus_ponens,[status(thm)],[19,15]) ).
tff(21,plain,
! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ),
inference(skolemize,[status(sab)],[20]) ).
tff(22,plain,
! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) ),
inference(modus_ponens,[status(thm)],[21,14]) ).
tff(23,plain,
( ( ~ ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
| ( a = additive_identity )
| product(h(a),a,multiplicative_identity) )
<=> ( ~ ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
| ( a = additive_identity )
| product(h(a),a,multiplicative_identity) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ~ ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
| ( a = additive_identity )
| product(h(a),a,multiplicative_identity) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,plain,
( ~ ! [A: $i] :
( ( A = additive_identity )
| product(h(A),A,multiplicative_identity) )
| ( a = additive_identity )
| product(h(a),a,multiplicative_identity) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
product(h(a),a,multiplicative_identity),
inference(unit_resolution,[status(thm)],[25,22,12]) ).
tff(27,plain,
^ [A: $i] :
refl(
( product(multiplicative_identity,A,A)
<=> product(multiplicative_identity,A,A) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [A: $i] : product(multiplicative_identity,A,A)
<=> ! [A: $i] : product(multiplicative_identity,A,A) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [A: $i] : product(multiplicative_identity,A,A)
<=> ! [A: $i] : product(multiplicative_identity,A,A) ),
inference(rewrite,[status(thm)],]) ).
tff(30,axiom,
! [A: $i] : product(multiplicative_identity,A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_identity) ).
tff(31,plain,
! [A: $i] : product(multiplicative_identity,A,A),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [A: $i] : product(multiplicative_identity,A,A),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [A: $i] : product(multiplicative_identity,A,A),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
( ~ ! [A: $i] : product(multiplicative_identity,A,A)
| product(multiplicative_identity,b,b) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
product(multiplicative_identity,b,b),
inference(unit_resolution,[status(thm)],[34,33]) ).
tff(36,plain,
( product(a,b,additive_identity)
<=> product(a,b,additive_identity) ),
inference(rewrite,[status(thm)],]) ).
tff(37,axiom,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
tff(38,plain,
product(a,b,additive_identity),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
^ [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
refl(
( ( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
<=> ( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) )),
inference(bind,[status(th)],]) ).
tff(40,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) ),
inference(quant_intro,[status(thm)],[39]) ).
tff(41,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) ),
inference(rewrite,[status(thm)],]) ).
tff(42,plain,
^ [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) )
<=> ( ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) )),
( ( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) )
<=> ( ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U)
| product(X,V,W) ) )),
rewrite(
( ( ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U)
| product(X,V,W) )
<=> ( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) )),
( ( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) )
<=> ( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) )),
inference(bind,[status(th)],]) ).
tff(43,plain,
( ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) )
<=> ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ) ),
inference(quant_intro,[status(thm)],[42]) ).
tff(44,axiom,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).
tff(45,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ),
inference(modus_ponens,[status(thm)],[45,41]) ).
tff(47,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ),
inference(skolemize,[status(sab)],[46]) ).
tff(48,plain,
! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) ),
inference(modus_ponens,[status(thm)],[47,40]) ).
tff(49,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) ) ),
inference(rewrite,[status(thm)],]) ).
tff(50,plain,
( ( product(h(a),additive_identity,b)
| ~ product(multiplicative_identity,b,b)
| ~ product(a,b,additive_identity)
| ~ product(h(a),a,multiplicative_identity) )
<=> ( product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(multiplicative_identity,b,b)
| ~ product(a,b,additive_identity)
| ~ product(h(a),a,multiplicative_identity) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
( ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(multiplicative_identity,b,b)
| ~ product(a,b,additive_identity)
| ~ product(h(a),a,multiplicative_identity) )
<=> ( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) ) ),
inference(transitivity,[status(thm)],[51,49]) ).
tff(53,plain,
( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(multiplicative_identity,b,b)
| ~ product(a,b,additive_identity)
| ~ product(h(a),a,multiplicative_identity) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
( ~ ! [W: $i,V: $i,Z: $i,Y: $i,U: $i,X: $i] :
( product(X,V,W)
| ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U) )
| product(h(a),additive_identity,b)
| ~ product(h(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
product(h(a),additive_identity,b),
inference(unit_resolution,[status(thm)],[54,48,38,35,26]) ).
tff(56,plain,
( ( b != additive_identity )
<=> ( b != additive_identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,axiom,
b != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
tff(58,plain,
b != additive_identity,
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
^ [V: $i,Y: $i,U: $i,X: $i] :
refl(
( ( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
<=> ( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ) )),
inference(bind,[status(th)],]) ).
tff(60,plain,
( ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
<=> ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
( ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
<=> ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(62,plain,
^ [V: $i,Y: $i,U: $i,X: $i] :
rewrite(
( ( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) )
<=> ( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ) )),
inference(bind,[status(th)],]) ).
tff(63,plain,
( ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) )
<=> ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,axiom,
! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| ( U = V ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
tff(65,plain,
! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ),
inference(modus_ponens,[status(thm)],[65,61]) ).
tff(67,plain,
! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ),
inference(skolemize,[status(sab)],[66]) ).
tff(68,plain,
! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) ),
inference(modus_ponens,[status(thm)],[67,60]) ).
tff(69,plain,
( ( ~ ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
| ~ product(h(a),additive_identity,additive_identity)
| ~ product(h(a),additive_identity,b)
| ( b = additive_identity ) )
<=> ( ~ ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
| ~ product(h(a),additive_identity,additive_identity)
| ~ product(h(a),additive_identity,b)
| ( b = additive_identity ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
( ~ ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
| ~ product(h(a),additive_identity,additive_identity)
| ~ product(h(a),additive_identity,b)
| ( b = additive_identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
( ~ ! [V: $i,Y: $i,U: $i,X: $i] :
( ~ product(X,Y,V)
| ~ product(X,Y,U)
| ( U = V ) )
| ~ product(h(a),additive_identity,additive_identity)
| ~ product(h(a),additive_identity,b)
| ( b = additive_identity ) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
$false,
inference(unit_resolution,[status(thm)],[71,68,58,55,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n022.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 : Fri Sep 2 21:57:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.84/0.78 % SZS status Unsatisfiable
% 0.84/0.78 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------